423
Views
5
CrossRef citations to date
0
Altmetric
Review Articles

A survey on hidden Markov jump systems: asynchronous control and filtering

, &
Pages 1360-1376 | Received 29 Oct 2022, Accepted 09 Jan 2023, Published online: 29 Mar 2023

References

  • Abdollahi, F., & Khorasani, K. (2010). A decentralized Markovian jump H∞ control routing strategy for mobile multi-agent networked systems. IEEE Transactions on Control Systems Technology, 19(2), 269–283. https://doi.org/10.1109/TCST.2010.2046418
  • Alenany, A., Mercère, G., & Ramos, J. A. (2017). Subspace identification of 2-D CRSD Roesser models with deterministic-stochastic inputs: A state computation approach. IEEE Transactions on Control Systems Technology, 25(3), 1108–1115. https://doi.org/10.1109/TCST.2016.2581149
  • Barbu, V., & Limnios, N. (2006). Empirical estimation for discrete-time semi-Markov processes with applications in reliability. Nonparametric Statistics, 18(7–8), 483–498. https://doi.org/10.1080/10485250701261913
  • Blair Jr, W. P., & Sworder, D. D. (1975). Feedback control of a class of linear discrete systems with jump parameters and quadratic cost criteria. International Journal of Control, 21(5), 833–841. https://doi.org/10.1080/00207177508922037
  • Bolzern, P., Colaneri, P., & De Nicolao, G. (2006). On almost sure stability of continuous-time Markov jump linear systems. Automatica, 42(6), 983–988. https://doi.org/10.1016/j.automatica.2006.02.007
  • Bolzern, P., Colaneri, P., & De Nicolao, G. (2010). Markov jump linear systems with switching transition rates: mean square stability with dwell-time. Automatica, 46(6), 1081–1088. https://doi.org/10.1016/j.automatica.2010.03.007
  • Boukas, E. K. (2005). Stochastic switching systems: Analysis and design. Birhauser.
  • Boukas, E. K. (2009). H∞ control of discrete-time Markov jump systems with bounded transition probabilities. Optimal Control Applications and Methods, 30(5), 477–494. https://doi.org/10.1002/oca.v30:5
  • Boukas, E. K., & Liu, Z. K. (2002). Robust H∞ filtering for polytopic uncertain time-delay systems with Markov jumps. Computers & Electrical Engineering, 28(3), 171–193. https://doi.org/10.1016/S0045-7906(01)00058-1
  • Cai, B., Zhang, L., & Shi, Y. (2020). Control synthesis of hidden semi-Markov uncertain fuzzy systems via observations of hidden modes. IEEE Transactions on Cybernetics, 50(8), 3709–3718. https://doi.org/10.1109/TCYB.6221036
  • Chen, Y., Zhao, C., Lam, J., Cui, Y., & Kwok, K. W. (2019). Stability and l1-gain analysis for positive 2-D Markov jump systems. International Journal of Systems Science, 50(11), 2077–2087. https://doi.org/10.1080/00207721.2019.1645229
  • Chen, Z., Cao, Z., Huang, Q., & Campbell, S. L. (2018). Reliable H∞ control on saturated linear Markov jump system with uncertain transition rates and asynchronous jumped actuator failure. Journal of The Franklin Institute-Engineering and Applied Mathematics, 355(9), 3853–3872. https://doi.org/10.1016/j.jfranklin.2018.02.029
  • Cheng, P., Wang, H., Stojanovic, V., He, S., Shi, K., Luan, X., Liu, F., & Sun, C. (2021). Asynchronous fault detection observer for 2-D Markov jump systems. IEEE Transactions on Cybernetics. 52(12), 13623–13634. https://doi.org/10.1109/TCYB.2021.3112699
  • Cheng, P., Zhang, G. Z., Zhang, W., & He, S. (2022). Co-Design of adaptive event-triggered mechanism and asynchronous H∞ control for 2-D Markov jump systems via genetic algorithm. IEEE Transactions on Cybernetics. https://doi.org/10.1109/TCYB.2022.3169530.Please provide missing volume and issue number for reference ‘Cheng et al. (2022)’.
  • Costa, E. F., & Do Val, J. B. R. (2002). Weak detectability and the linear-quadratic control problem of discrete-time Markov jump linear systems. International Journal of Control, 75(16–17), 1282–1292. https://doi.org/10.1080/002071702000023717
  • Costa, O. L. V., & G. R. A. M. Benites (2013). Robust mode-independent filtering for discrete-time Markov jump linear systems with multiplicative noises. International Journal of Control, 86(5), 779–793. https://doi.org/10.1080/00207179.2012.760047
  • Costa, O. L. V., & W. L. de Paulo (2007). Indefinite quadratic with linear costs optimal control of Markov jump with multiplicative noise systems. Automatica, 43(4), 587–597. https://doi.org/10.1016/j.automatica.2006.10.022
  • Costa, O. L. V., Fragoso, M. D., & Marques, R. P. (2006). Discrete-time Markov jump linear systems. Springer.
  • Costa, O. L. V., Fragoso, M. D., & Todorov, M. G. (2013). Continuous-time Markov jump linear systems. Springer.
  • Dai, M., Huang, Z., Xia, J., Meng, B., Wang, J., & Shen, H. (2019). Non-fragile extended dissipativity-based state feedback control for 2-D Markov jump delayed systems. Applied Mathematics and Computation, 362, 124571. https://doi.org/10.1016/j.amc.2019.124571
  • Dai, M., Xia, J., Park, J. H., Huang, X., & Shen, H. (2019). Asynchronous dissipative filtering for Markov jump discrete-time systems subject to randomly occurring distributed delays. Journal of the Franklin Institute, 356(4), 2395–2420. https://doi.org/10.1016/j.jfranklin.2019.01.025
  • De Farias, D. P., Geromel, J. C., Do Val, J. B., & Costa, O. L. (2000). Output feedback control of Markov jump linear systems in continuous-time. IEEE Transactions on Automatic Control, 45(5), 944–949. https://doi.org/10.1109/9.855557
  • de Souza, C. E., & Coutinho, D. F. (2006). Robust stability of a class of uncertain Markov jump nonlinear systems. IEEE Transactions on Automatic Control, 51(11), 1825–1831. https://doi.org/10.1109/TAC.2006.883058
  • de Souza, C. E., & M. D. Fragoso (2003). H∞ filtering for discrete-time linear systems with Markovian jumping parameters. International Journal of Robust and Nonlinear Control, 13(14), 1299–1316. https://doi.org/10.1002/(ISSN)1099-1239
  • Dong, S., Chen, G., Liu, M., & Wu, Z. G. (2021). Cooperative adaptive H∞ output regulation of continuous-time heterogeneous multi-agent Markov jump systems. IEEE Transactions on Circuits and Systems II: Express Briefs, 68(10), 3261–3265. https://doi.org/10.1109/TCSII.2021.3064944
  • Dong, S., Fang, M., & Chen, S. (2020). Extended dissipativity asynchronous static output feedback control of Markov jump systems. Information Sciences, 514, 275–287. https://doi.org/10.1016/j.ins.2019.11.038
  • Dong, S., Fang, M., Shi, P., Wu, Z. G., & Zhang, D. (2019). Dissipativity-based control for fuzzy systems with asynchronous modes and intermittent measurements. IEEE Transactions on Cybernetics, 50(6), 2389–2399. https://doi.org/10.1109/TCYB.6221036
  • Dong, S., & Liu, M. (2023). Adaptive fuzzy asynchronous control for nonhomogeneous Markov jump power systems under hybrid attacks. IEEE Transactions on Fuzzy Systems, 31(3), 1009–1019. https://doi.org/10.1109/TFUZZ.2022.3193805
  • Dong, S., Wu, Z. G., Shi, P., Karimi, H. R., & Su, H. (2018). Networked fault detection for Markov jump nonlinear systems. IEEE Transactions on Fuzzy Systems, 26(6), 3368–3378. https://doi.org/10.1109/TFUZZ.91
  • Dong, S., Wu, Z. G., Shi, P., Su, H., & Huang, T. (2019). Quantized control of Markov jump nonlinear systems based on fuzzy hidden Markov model. IEEE Transactions on Cybernetics, 49(7), 2420–2430. https://doi.org/10.1109/TCYB.6221036
  • Dong, S., Wu, Z. G., Su, H., Shi, P., & Karimi, H. R. (2019). Asynchronous control of continuous-time nonlinear Markov jump systems subject to strict dissipativity. IEEE Transactions on Automatic Control, 64(3), 1250–1256. https://doi.org/10.1109/TAC.2018.2846594
  • Doucet, A., & Andrieu, C. (2001). Iterative algorithms for state estimation of jump Markov linear systems. IEEE Transactions on Signal Processing, 49(6), 1216–1227. https://doi.org/10.1109/78.923304
  • Doucet, A., Gordon, N. J., & Krishnamurthy, V. (2001). Particle filters for state estimation of jump Markov linear systems. IEEE Transactions on Signal Processing, 49(3), 613–624. https://doi.org/10.1109/78.905890
  • Duan, Z., Zhang, J., Zhang, C., & Mosca, E. (2006). Robust H2 and H∞ filtering for uncertain linear systems. Automatica, 42(11), 1919–1926. https://doi.org/10.1016/j.automatica.2006.06.004
  • Elliott, R. J., & Malcolm, W. P. (2004). Robust M-ary detection filters and smoothers for continuous-time jump Markov systems. IEEE Transactions on Automatic Control, 49(7), 1046–1055. https://doi.org/10.1109/TAC.2004.831188
  • Fang, M., Dong, S., & Wu, Z. G. (2020). Asynchronous H∞ filtering of continuous-time Markov jump systems. International Journal of Robust and Nonlinear Control, 30(2), 685–698. https://doi.org/10.1002/rnc.v30.2
  • Fang, Y. (1994). Stability analysis of linear control systems with uncertain parameters. Case Western Reserve University.
  • Faraji-Niri, M., & Jahed-Motlagh, M. R. (2016). Stochastic stability and stabilization of Markov jump linear systems with instantly time-varying transition rates: A unified framework. ISA Transactions, 65, 51–61. https://doi.org/10.1016/j.isatra.2016.06.011
  • Feng, G. (2003). Controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions. IEEE Transactions on Fuzzy Systems, 11(5), 605–612. https://doi.org/10.1109/TFUZZ.2003.817837
  • Feng, X., Loparo, K. A., Ji, Y., & Chizeck, H. J. (1992). Stochastic stability properties of jump linear systems. IEEE Transactions on Automatic Control, 37(1), 38–53. https://doi.org/10.1109/9.109637
  • Fornasini, E., & Marchesini, G. (1978). Doubly-indexed dynamical systems: state-space models and structural properties. Mathematical Systems Theory, 12(1), 59–72. https://doi.org/10.1007/BF01776566
  • Fragoso, M. D., & Baczynski, J. (2002). Lyapunov coupled equations for continuous-time infinite Markov jump linear systems. Journal of Mathematical Analysis and Applications, 274(1), 319–335. https://doi.org/10.1016/S0022-247X(02)00302-5
  • Gabriel, G. W., Gonçalves, T. R., & Geromel, J. C. (2018). Optimal and robust sampled-data control of Markov jump linear systems: A differential LMI approach. IEEE Transactions on Automatic Control, 63(9), 3054–3060. https://doi.org/10.1109/TAC.9
  • Gandhi, V., & Joo, Y. H. (2022). T-S fuzzy sampled-data control for nonlinear systems with actuator faults and its application to wind energy system. IEEE Transactions on Fuzzy Systems, 30(2), 462–474. https://doi.org/10.1109/TFUZZ.2020.3041113
  • Gao, C., He, X., Dong, H., Liu, H., & Lyu, G. (2022). A survey on fault-tolerant consensus control of multi-agent systems: trends, methodologies and prospects. International Journal of Systems Science, 53(13), 2800–2813. https://doi.org/10.1080/00207721.2022.2056772
  • Gao, C., Wang, Z., He, X., & Dong, H. (2022). Fault-Tolerant consensus control for multiagent systems: An encryption-decryption scheme. IEEE Transactions on Automatic Control, 67(5), 2560–2567. https://doi.org/10.1109/TAC.2021.3079407
  • Gao, L., & Wu, Y. (2007). Exponential stability of impulsive jump linear systems with Markov process. Journal of Systems Engineering and Electronics, 18(2), 304–310. https://doi.org/10.1016/S1004-4132(07)60091-7
  • Gonçalves, A. P., Fioravanti, A. R., & Geromel, J. C. (2011). Filtering of discrete-time Markov jump linear systems with uncertain transition probabilities. International Journal of Robust and Nonlinear Control, 21(6), 613–624. https://doi.org/10.1002/rnc.v21.6
  • Graciani Rodrigues, C. C., Todorov, M. G., & Fragoso, M. D. (2017). H∞ control of continuous-time Markov jump linear systems with detector-based mode information. International Journal of Control, 90(10), 2178–2196. https://doi.org/10.1080/00207179.2016.1238511
  • Gray, W. S., González, O. R., & Dogan, M. (2000). Stability analysis of digital linear flight controllers subject to electromagnetic disturbances. IEEE Transactions on Aerospace and Electronic Systems, 36(4), 1204–1218. https://doi.org/10.1109/7.892669
  • Guo, Y., & Li, J. (2022). Hybrid-triggered scheme asynchronous control for hidden Markov jump systems with partially unknown probabilities and cyber attacks. Asian Journal of Control. https://doi.org/10.1002/asjc.2819.
  • He, S., & Liu, F. (2009). Fuzzy model-based fault detection for Markov jump systems. International Journal of Robust and Nonlinear Control: IFAC-Affiliated Journal, 19(11), 1248–1266. https://doi.org/10.1002/rnc.1380
  • Hou, T., Zhang, W., & Ma, H. (2014). Spectral perspective on the stability of discrete-time Markov jump systems with multiplicative noise. Mathematical Problems in Engineering, 2014, 769302. https://doi.org/10.1155/2014/769302
  • Hou, Z., Luo, J., Shi, P., & Nguang, S. K. (2006). Stochastic stability of Ito differential equations with semi-Markovian jump parameters. IEEE Transactions on Automatic Control, 51(8), 1383–1387. https://doi.org/10.1109/TAC.2006.878746
  • Hu, L. S., Shi, P. M., & Frank, P. M. (2006). Robust sampled-data control for Markovian jump linear systems. Automatica, 42(11), 2025–2030. https://doi.org/10.1016/j.automatica.2006.05.029
  • Huang, H., Huang, T., & Cao, Y. (2018). Reduced-order filtering of delayed static neural networks with Markovian jumping parameters. IEEE Transactions on Neural Networks and Learning Systems, 29(11), 5606–5618. https://doi.org/10.1109/TNNLS.2018.2806356
  • Huang, J., & Shi, Y. (2013). Stochastic stability and robust stabilization of semi-Markov jump linear systems. International Journal of Robust and Nonlinear Control, 23(18), 2028–2043. https://doi.org/10.1002/rnc.2862
  • Huang, L., & Mao, X. (2009). On input-to-state stability of stochastic retarded systems with Markovian switching. IEEE Transactions on Automatic Control, 54(8), 1898–1902. https://doi.org/10.1109/TAC.2009.2022112
  • Ji, W., Fu, S., Chen, H., & Qiu, J. (2019). Asynchronous decentralized fuzzy observer-based output feedback control of nonlinear large-scale systems. International Journal of Fuzzy Systems, 21(1), 19–32. https://doi.org/10.1007/s40815-018-0565-5
  • Jiang, B., Kao, Y., Gao, C., & Yao, X. (2017). Passification of uncertain singular semi-Markovian jump systems with actuator failures via sliding mode approach. IEEE Transactions on Automatic Control, 62(8), 4138–4143. https://doi.org/10.1109/TAC.2017.2680540
  • Kozin, F. (1965). On relations between moment properties and almost sure Lyapunov stability for linear stochastic systems. Journal of Mathematical Analysis and Applications, 10(2), 342–353. https://doi.org/10.1016/0022-247X(65)90130-7
  • Li, F., Wu, L., Shi, P., & Lim, C. C. (2015). State estimation and sliding mode control for semi-Markovian jump systems with mismatched uncertainties. Automatica, 51, 385–393. https://doi.org/10.1016/j.automatica.2014.10.065
  • Li, H., Yin, S., Pan, Y., & Lam, H. K. (2015). Model reduction for interval type-2 Takagi-Sugeno fuzzy systems. Automatica, 61, 308–314. https://doi.org/10.1016/j.automatica.2015.08.020
  • Li, L., & Ugrinovskii, V. A. (2007). On necessary and sufficient conditions for H∞ output feedback control of Markov jump linear systems. IEEE Transactions on Automatic Control, 52(7), 1287–1292. https://doi.org/10.1109/TAC.2007.900832
  • Li, S., Lian, J., & Gong, L. (2022). Hidden Markov model based H∞ filtering for singular semi-Markov jump systems. International Journal of Robust and Nonlinear Control, 32(1), 164–180. https://doi.org/10.1002/rnc.v32.1
  • Li, X., Lam, J., Gao, H., & Xiong, J. (2016 May). H∞ and H2 filtering for linear systems with uncertain Markov transitions. Automatica, 67, 252–266. https://doi.org/10.1016/j.automatica.2016.01.016
  • Lin, L., Howe, R. T., & Pisano, A. P. (1998). Microelectromechanical filters for signal processing. Journal of Microelectromechanical Systems, 7(3), 286–294. https://doi.org/10.1109/84.709645
  • Liu, J., Ran, G., Huang, Y., Han, C., Yu, Y., & Sun, C. (2022). Adaptive event-triggered finite-time dissipative filtering for interval type-2 fuzzy Markov jump systems with asynchronous modes. IEEE Transactions on Cybernetics, 52(9), 9709–9721. https://doi.org/10.1109/TCYB.2021.3053627
  • Liu, Y., Wu, F., & Ban, X. (2016). Dynamic output feedback control for continuous-time T-S fuzzy systems using fuzzy Lyapunov functions. IEEE Transactions on Fuzzy Systems, 25(5), 1155–1167. https://doi.org/10.1109/TFUZZ.2016.2598852
  • Loparo, K. A., & Abdel-Malek, F. (1990). A probabilistic approach to dynamic power system security. IEEE Transactions on Circuits and Systems, 37(6), 787–798. https://doi.org/10.1109/31.55036
  • Lu, Q., Shi, P., Lam, H. K., & Zhao, Y. (2015). Interval type-2 fuzzy model predictive control of nonlinear networked control systems. IEEE Transactions on Fuzzy Systems, 23(6), 2317–2328. https://doi.org/10.1109/TFUZZ.2015.2417975
  • Lv, X., Niu, Y., & Song, J. (2022). Sliding mode control for uncertain 2D systems under stochastic communication protocol: The Roesser model case. IEEE Transactions on Circuits and Systems II: Express Briefs, 69(3), 1228–1232. https://doi.org/10.1109/TCSII.2021.3115515
  • Marszalek, W. (1984). Two-dimensional state-space discrete models for hyperbolic partial differential equations. Applied Mathematical Modelling, 8(1), 11–14. https://doi.org/10.1016/0307-904X(84)90170-7
  • Miao, G., Xu, S., Zhang, B., & Zou, Y. (2014). Mean square consensus of second-order multi-agent systems under Markov switching topologies. IMA Journal of Mathematical Control and Information, 31(2), 151–164. https://doi.org/10.1093/imamci/dns036
  • Morais, C. F., Palma, J. M., Peres, P. L., & Oliveira, R. C. (2018). An LMI approach for H2 and H∞ reduced-order filtering of uncertain discrete-time Markov and Bernoulli jump linear systems. Automatica, 95, 463–471. https://doi.org/10.1016/j.automatica.2018.06.014
  • Oliveira, R. C. L. F., Vargas, A. N., & Peres, P. L. D. (2014). Mode-Independent H2-Control of a DC motor modeled as a Markov jump linear system. IEEE Transactions on Control Systems Technology, 22(5), 1915–1919. https://doi.org/10.1109/TCST.2013.2293627
  • Orguner, U., & Demirekler, M. (2006). An online sequential algorithm for the estimation of transition probabilities for jump Markov linear systems. Automatica, 42(10), 1735–1744. https://doi.org/10.1016/j.automatica.2006.05.002
  • Plataniotis, K. N., Androutsos, D., & Venetsanopoulos, A. N. (1997). Multichannel filters for image processing. Signal Processing: Image Communication, 9(2), 143–158. https://doi.org/10.1016/S0923-5965(96)00021-5
  • Precup, R. E., & Hellendoorn, H. (2011). A survey on industrial applications of fuzzy control. Computers in Industry, 62(3), 213–226. https://doi.org/10.1016/j.compind.2010.10.001
  • Qi, W., Zhang, C., Zong, G., Su, S. F., & Chadli, M. (2022). Finite-Time event-triggered stabilization for discrete-time fuzzy Markov jump singularly perturbed systems. IEEE Transactions on Cybernetics. https://doi.org/10.1109/TCYB.2022.3207430.
  • Rabiner, L. R. (1989). A tutorial on hidden Markov models and selected applications in speech recognition. Proceedings of The IEEE, 77(2), 257–286. https://doi.org/10.1109/5.18626
  • Ran, G., Li, C., Sakthivel, R., Han, C., Wang, B., & Liu, J. (2022). Adaptive event-triggered asynchronous control for interval type-2 fuzzy Markov jump systems with cyberattacks. IEEE Transactions on Control of Network Systems, 9(1), 88–99. https://doi.org/10.1109/TCNS.2022.3141025
  • Ren, H., Zong, G., & Karimi, H. R. (2021). Asynchronous finite-time filtering of Markov jump nonlinear systems and its applications. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51(3), 1725–1734. https://doi.org/10.1109/TSMC.2019.2899733
  • Roesser, R. (1975). A discrete state-space model for linear image processing. IEEE Transactions on Automatic Control, AC-20(1), 1–10. https://doi.org/10.1109/TAC.1975.1100844
  • Rogers, E., Galkowski, K., & Owens, D. H. (2007). Control systems theory and applications for linear repetitive processes. Springer.
  • Shan, Y., She, K., Zhong, S., Cheng, J., Yu, Y., & Deng, H. (2022). Asynchronous H∞ control of Markov jump discrete-time systems with incomplete transition probability and unreliable links. ISA Transactions, 122, 218–231. https://doi.org/10.1016/j.isatra.2021.04.044
  • Shang, H., Zong, G., & Qi, W. (2020). Finite-time asynchronous H∞ filtering for positive Markov jump systems. Journal of the Franklin Institute, 357(16), 11584–11603. https://doi.org/10.1016/j.jfranklin.2019.08.008
  • Shen, H., Chen, M., Wu, Z. G., Cao, J., & Park, J. H. (2019). Reliable event-triggered asynchronous extended passive control for semi-Markov jump fuzzy systems and its application. IEEE Transactions on Fuzzy Systems, 28(8), 1708–1722. https://doi.org/10.1109/TFUZZ.2019.2921264
  • Shen, H., Li, F., Wu, Z. G., & Park, J. H. (2016). Finite-time asynchronous filtering for discrete-time Markov jump systems over a lossy network. International Journal of Robust and Nonlinear Control, 26(17), 3831–3848. https://doi.org/10.1002/rnc.v26.17
  • Shen, H., Li, F., Yan, H., Karimi, H. R., & Lam, H. K. (2018). Finite-Time event-triggered H∞ control for T-S fuzzy Markov jump systems. IEEE Transactions on Fuzzy Systems, 26(5), 3122–3135. https://doi.org/10.1109/TFUZZ.91
  • Shen, H., Wang, Y., Xia, J., Park, J. H., & Wang, Z. (2019). Fault-tolerant leader-following consensus for multi-agent systems subject to semi-Markov switching topologies: An event-triggered control scheme. Nonlinear Analysis: Hybrid Systems, 34, 92–107. https://doi.org/10.1016/j.nahs.2019.05.003
  • Shen, M., Ma, Y., Park, J. H., & Wang, Q. G. (2022). Fuzzy tracking control for Markov jump systems with mismatched faults by iterative proportional-integral observers. IEEE Transactions on Fuzzy Systems, 30(2), 542–554. https://doi.org/10.1109/TFUZZ.2020.3041589
  • Shen, Y., & Fang, M. (2021). Dissipativity-Based asynchronous control for 2-D Markov jump systems in continuous-time domain. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51(9), 5349–5356. https://doi.org/10.1109/TSMC.2019.2950062
  • Shen, Y., Wu, Z. G., Shi, P., Su, H., & Huang, T. (2019). Asynchronous filtering for Markov jump neural networks with quantized outputs. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 49(2), 433–443. https://doi.org/10.1109/TSMC.2017.2789180
  • Shen, Y., Wu, Z. G., Shi, P., Su, H., & Lu, R. (2017). Dissipativity-based asynchronous filtering for periodic Markov jump systems. Information Sciences, 420, 505–516. https://doi.org/10.1016/j.ins.2017.08.075
  • Shi, P., & Li, F. (2015). A survey on Markovian jump systems: Modeling and design. International Journal of Control, Automation and Systems, 13(1), 1–16. https://doi.org/10.1007/s12555-014-0576-4
  • Sim, K. B., Byun, K. S., & Harashima, F. (2006). Internet-based teleoperation of an intelligent robot with optimal two-layer fuzzy controller. IEEE Transactions on Industrial Electronics, 53(4), 1362–1372. https://doi.org/10.1109/TIE.2006.878295
  • Song, Y., Dong, H., Yang, T., & Fei, M. (2014). Almost sure stability of discrete-time Markov jump linear systems. IET Control Theory & Applications, 8(11), 901–906. https://doi.org/10.1049/cth2.v8.11
  • Sun, T., & Xin, M. (2019). Bearings-only tracking using augmented ensemble Kalman filter. IEEE Transactions on Control Systems Technology, 28(3), 1009–1016. https://doi.org/10.1109/TCST.87
  • Svensson, L. E. O., & Williams, N. (2008). Optimal monetary policy under uncertainty: A Markov jump-linear-quadratic approach. Federal Reserve Bank of St. Louis Review, 90(4), 275–293. https://doi.org/10.20955/r.90.275-294
  • Takagi, T., & Sugeno, M. (1985). Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics, 15(1), 116–132. https://doi.org/10.1109/TSMC.1985.6313399
  • Talla, J., Streit, L., Peroutka, Z., & Drabek, P. (2015). Position-based T-S fuzzy power management for tram with energy storage system. IEEE Transactions on Industrial Electronics, 62(5), 3061–3071. https://doi.org/10.1109/TIE.2015.2396871
  • Tanaka, K., & Wang, H. O. (2001). Fuzzy control systems design and analysis: A linear matrix inequality approach. John Wiley & Sons.
  • Tang, X., & Deng, L. (2019). Multi-step output feedback predictive control for uncertain discrete-time T-S fuzzy system via event-triggered scheme. Automatica, 107, 362–370. https://doi.org/10.1016/j.automatica.2019.05.057
  • Tang, X., Deng, L., Yu, J., & Qu, H. (2018). Output feedback predictive control of interval type-2 T-S fuzzy systems with Markovian packet loss. IEEE Transactions on Fuzzy Systems, 26(4), 2450–2459. https://doi.org/10.1109/TFUZZ.91
  • Tian, Y., & Wang, Z. (2022). Asynchronous extended dissipative filtering for T-S fuzzy Markov jump systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 52(6), 3915–3925. https://doi.org/10.1109/TSMC.2021.3079464
  • Ugrinovskii, V., & Pota, H. R. (2005). Decentralized control of power systems via robust control of uncertain Markov jump parameter systems. International Journal of Control, 78(9), 662–677. https://doi.org/10.1080/00207170500105384
  • Ungureanu, V. M. (2014). Stability, stabilizability and detectability for Markov jump discrete-time linear systems with multiplicative noise in Hilbert spaces. Optimization, 63(11), 1689–1712. https://doi.org/10.1080/02331934.2012.730049
  • Wang, Y., Zhuang, G., Chen, X., Wang, Z., & Chen, F. (2020). Dynamic event-based finite-time mixed H∞ and passive asynchronous filtering for T-S fuzzy singular Markov jump systems with general transition rates. Nonlinear Analysis: Hybrid Systems, 36, 100874. https://doi.org/10.1016/j.nahs.2020.100874
  • Wei, Y., Park, J. H., Qiu, J., Wu, L., & Jung, H. Y. (2017). Sliding mode control for semi-Markovian jump systems via output feedback. Automatica, 81, 133–141. https://doi.org/10.1016/j.automatica.2017.03.032
  • Wei, Y., Qiu, J., Karimi, H. R., & Wang, M. (2014). Filtering design for two-dimensional Markovian jump systems with state-delays and deficient mode information. Information Sciences, 269, 316–331. https://doi.org/10.1016/j.ins.2013.12.042
  • Wu, L., Shi, P., Gao, H., & Wang, C. (2008). H∞ filtering for 2D Markovian jump systems. Automatica, 44(7), 1849–1858. https://doi.org/10.1016/j.automatica.2007.10.027
  • Wu, T., Xiong, L., Cao, J., & Park, J. H. (2022). Hidden Markov model-based asynchronous quantized sampled-data control for fuzzy nonlinear Markov jump systems. Fuzzy Sets and Systems, 432, 89–110. https://doi.org/10.1016/j.fss.2021.08.016
  • Wu, W. S. (2020). Two-dimensional digital filters. CRC.
  • Wu, Z., Su, H., & Chu, J. (2010). H∞ filtering for singular Markovian jump systems with time delay. International Journal of Robust and Nonlinear Control: IFAC-Affiliated Journal, 20(8), 939–957. https://doi.org/10.1002/rnc.1486
  • Wu, Z. G., Shen, Y., Su, H., Lu, R., & Huang, T. (2019). H2 performance analysis and applications of 2-D hidden Bernoulli jump system. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 49(10), 2097–2107. https://doi.org/10.1109/TSMC.6221021
  • Wu, Z. G., Shi, P., Shu, Z., Su, H., & Lu, R. (2017). Passivity-based asynchronous control for Markov jump systems. IEEE Transactions on Automatic Control, 62(4), 2020–2025. https://doi.org/10.1109/TAC.9
  • Wu, Z. G., Shi, P., Su, H., & Chu, J. (2014). Asynchronous l2−l∞ filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities. Automatica, 50(1), 180–186. https://doi.org/10.1016/j.automatica.2013.09.041
  • Wu, Z. G., Shi, P., Su, H., & Lu, R. (2014). Dissipativity-based sampled-data fuzzy control design and its application to truck-trailer system. IEEE Transactions on Fuzzy Systems, 23(5), 1669–1679. https://doi.org/10.1109/TFUZZ.2014.2374192
  • Wu, Z. G., & Tao, Y. Y. (2021). Asynchronous guaranteed cost control of 2-D Markov jump Roesser systems. IEEE Transactions on Cybernetics. 52(12), 13063–13072. https://doi.org/10.1109/TCYB.2021.3100074
  • Xu, S., Lam, J., & Zou, Y. (2003). H∞ filtering for singular systems. IEEE Transactions on Automatic Control, 48(12), 2217–2222. https://doi.org/10.1109/TAC.2003.820138
  • Xu, Y., Luo, W., Zhong, K., & Zhu, S. (2014). Mean square input-to-state stability of a general class of stochastic recurrent neural networks with Markovian switching. Neural Computing and Applications, 25(7), 1657–1663. https://doi.org/10.1007/s00521-014-1649-2
  • Xu, Z., Wu, Z. G., Su, H., Shi, P., & Que, H. (2020). Energy-to-peak filtering of semi-Markov jump systems with mismatched modes. IEEE Transactions on Automatic Control, 65(10), 4356–4361. https://doi.org/10.1109/TAC.9
  • Xue, M., Yan, H., Zhang, H., Sun, J., & H. K. Lam (2020). Hidden-Markov-Model-Based asynchronous H∞ tracking control of fuzzy Markov jump systems. IEEE Transactions on Fuzzy Systems, 29(5), 1081–1092. https://doi.org/10.1109/TFUZZ.2020.2968878
  • Yager, R. R., & Filev, D. P. (1993). Unified structure and parameter identification of fuzzy models. IEEE Transactions on Systems, Man, and Cybernetics, 23(4), 1198–1205. https://doi.org/10.1109/21.247902
  • Yan, Z., Song, Y., & Park, J. H. (2017). Finite-time stability and stabilization for stochastic Markov jump systems with mode-dependent time delays. ISA Transactions, 68, 141–149. https://doi.org/10.1016/j.isatra.2017.01.018
  • Yang, R., Xie, L., & Zhang, C. (2006). H2 and mixed H2/ H∞ control of two-dimensional systems in Roesser model. Automatica, 42(9), 1507–1514. https://doi.org/10.1016/j.automatica.2006.04.002
  • Yang, T., & Karimi, H. R. (2013). LMI-based model predictive control for a class of constrained uncertain fuzzy Markov jump systems. Mathematical Problems in Engineering, 2013, 963089. https://doi.org/10.1155/2013/963089
  • Yang, T., Zhang, L., Sreeram, V., Vargas, A. N., Hayat, T., & Ahmad, B. (2017). Time-varying filter design for semi-Markov jump linear systems with intermittent transmission. International Journal of Robust and Nonlinear Control, 27(17), 4035–4049. https://doi.org/10.1002/rnc.3779
  • Yao, X., Wu, L., & Zheng, W. X. (2013). Quantized H∞ filtering for Markovian jump LPV systems with intermittent measurements. International Journal of Robust and Nonlinear Control, 23(1), 1–14. https://doi.org/10.1002/rnc.v23.1
  • Yao, X., Wu, L., Zheng, W. X., & Wang, C. (2011). Robust H∞ filtering of Markovian jump stochastic systems with uncertain transition probabilities. International Journal of Systems Science, 42(7), 1219–1230. https://doi.org/10.1080/00207720903513350
  • Yin, Y., Shi, P., Liu, F., Teo, K. L., & Lim, C. C. (2014). Robust filtering for nonlinear nonhomogeneous Markov jump systems by fuzzy approximation approach. IEEE Transactions on Cybernetics, 45(9), 1706–1716. https://doi.org/10.1109/TCYB.2014.2358680
  • Yu, J., Liu, M., & Rodriguez-Andina, J. J. (2022). Zonotope-Based asynchronous fault detection for Markov jump systems subject to deception attacks via dynamic event-triggered communication. IEEE Open Journal of the Industrial Electronics Society, 3, 304–317. https://doi.org/10.1109/OJIES.2022.3176683
  • Yu, S. Z. (2010). Hidden semi-Markov models. Artificial Intelligence, 174(2), 215–243. https://doi.org/10.1016/j.artint.2009.11.011
  • Zhang, B., Zheng, W. X., & Xu, S. (2013). Filtering of Markovian jump delay systems based on a new performance index. IEEE Transactions on Circuits and Systems I: Regular Papers, 60(5), 1250–1263. https://doi.org/10.1109/TCSI.2013.2246213
  • Zhang, H., & Xu, S. (2022). Finite-time almost sure stability of a Markov jump fuzzy system with delayed inputs. IEEE Transactions on Fuzzy Systems, 30(6), 1801–1808. https://doi.org/10.1109/TFUZZ.2021.3067797
  • Zhang, L., & Boukas, E. K. (2009). Mode-dependent H∞ filtering for discrete-time Markovian jump linear systems with partly unknown transition probabilities. Automatica, 45(6), 1462–1467. https://doi.org/10.1016/j.automatica.2009.02.002
  • Zhang, L., Cai, B., & Shi, Y. (2019). Stabilization of hidden semi-Markov jump systems: Emission probability approach. Automatica, 101, 87–95. https://doi.org/10.1016/j.automatica.2018.11.027
  • Zhang, L., Leng, Y., & Colaneri, P. (2016). Stability and stabilization of discrete-time semi-Markov jump linear systems via semi-Markov kernel approach. IEEE Transactions on Automatic Control, 61(2), 503–508. https://doi.org/10.1109/TAC.2015.2438424
  • Zhang, L., Ning, Z., & Shi, P. (2014). Input-Output approach to control for fuzzy Markov jump systems with time-varying delays and uncertain packet dropout rate. IEEE Transactions on Cybernetics, 45(11), 2449–2460. https://doi.org/10.1109/TCYB.2014.2374694
  • Zhang, L., Sun, Y., Pan, Y., & Lam, H. K. (2022). Reduced-Order fault detection filter design for fuzzy semi-Markov jump systems with partly unknown transition rates. IEEE Transactions on Systems, Man, and Cybernetics: Systems. 52(12), 7702–7713. https://doi.org/10.1109/TSMC.2022.3163719
  • Zhang, L., Yang, T., & Colaneri, P. (2017). Stability and stabilization of semi-Markov jump linear systems with exponentially modulated periodic distributions of sojourn time. IEEE Transactions on Automatic Control, 62(6), 2870–2885. https://doi.org/10.1109/TAC.2016.2618844
  • Zhang, S., Wang, Y., Zhuang, G., & Song, G. (2022). Dynamic event-based asynchronous and resilient dissipative filtering for T-S fuzzy Markov jump singularly perturbed systems against deception attacks. International Journal of Fuzzy Systems, 24(3), 1491–1514. https://doi.org/10.1007/s40815-021-01204-9
  • Zhang, X., He, S., Stojanovic, V., Luan, X., & Liu, F. (2021). Finite-time asynchronous dissipative filtering of conic-type nonlinear Markov jump systems. Science China Information Sciences, 64(5), 1–12. https://doi.org/10.1007/s11432-020-2913-x
  • Zhang, X., Wang, H., Stojanovic, V., Cheng, P., He, S., Luan, X., & Liu, F. (2022). Asynchronous fault detection for interval type-2 fuzzy nonhomogeneous higher-level Markov jump systems with uncertain transition probabilities. IEEE Transactions on Fuzzy Systems, 30(7), 2487–2499. https://doi.org/10.1109/TFUZZ.2021.3086224
  • Zhang, Y., Xia, J., Huang, X., Wang, J., & Shen, H. (2020). Asynchronous l2−l∞ filtering for discrete-time fuzzy Markov jump neural networks with unreliable communication links. Neural Processing Letters, 52(3), 2069–2088. https://doi.org/10.1007/s11063-020-10337-1
  • Zhao, P. (2008). Practical stability, controllability and optimal control of stochastic Markovian jump systems with time-delays. Automatica, 44(12), 3120–3125. https://doi.org/10.1016/j.automatica.2008.05.010
  • Zhao, P., Kang, Y., & Zhao, Y. B. (2019). A brief tutorial and survey on Markovian jump systems: Stability and control. IEEE Systems, Man, and Cybernetics Magazine, 5(2), 37–45. https://doi.org/10.1109/SMCM.6745853
  • Zhao, S., & Liu, F. (2012). State estimation in non-linear Markov jump systems with uncertain switching probabilities. IET Control Theory & Applications, 6(5), 641–650. https://doi.org/10.1049/iet-cta.2011.0333
  • Zhu, L., Wang, Y., Zhuang, G., & Song, G. (2022). Dynamic-memory event-based asynchronous dissipative filtering for T-S fuzzy singular semi-Markov jump systems against multi-cyber attacks. Applied Mathematics and Computation, 431, 127352. https://doi.org/10.1016/j.amc.2022.127352
  • Zhu, S., Shen, M., & Lim, C. C. (2017). Robust input-to-state stability of neural networks with Markovian switching in presence of random disturbances or time delays. Neurocomputing, 249, 245–252. https://doi.org/10.1016/j.neucom.2017.04.004

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.