References
- An, J., Wen, G., Lin, C., & Li, R. (2011). New results on a delay-derivative-dependent fuzzy H_∞ filter design for T-S fuzzy systems new results on a delay-derivative-dependent fuzzy H_∞ filter design for T-S fuzzy systems. IEEE Transactions on Fuzzy Systems, 19(4), 770–779. https://doi.org/https://doi.org/10.1109/TFUZZ.2011.2123900
- Apkarian, P., & Gahinet, P. (1995). A convex characterization of gain-scheduled H∞ controllers A convex characterization of gain-scheduled H∞ controllers. IEEE Transactions on Automatic Control, 40(5), 853–864. https://doi.org/https://doi.org/10.1109/9.384219
- Chadli, M., & El Hajjaji, A. (2006). Comment on “Observer-based robust fuzzy control of nonlinear systems with parametric uncertainties”. Fuzzy Sets and Systems, 157(9), 1276–1281. https://doi.org/https://doi.org/10.1016/j.fss.2005.09.004
- Chang, X. H., Li, Z. M., & Park, J. H. (2017). Fuzzy generalized H2 filtering for nonlinear discrete-Time systems with measurement quantization fuzzy generalized H2 filtering for nonlinear discrete-time systems with measurement quantization. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 48(12), 2419–2430. https://doi.org/https://doi.org/10.1109/TSMC.2017.2743012
- Chang, X. H., & Yang, G. H. (2010). Relaxed stabilization conditions for continuous-time Takagi–Sugeno fuzzy control systems. Information Sciences, 180(17), 3273–3287. https://doi.org/https://doi.org/10.1016/j.ins.2010.05.006
- Chang, X. H., Zhang, L., & Park, J. H. (2015). Robust static output feedback H∞ control for uncertain fuzzy systems robust static output feedback H∞ control for uncertain fuzzy systems. Fuzzy Sets and Systems, 273(8), 87–104. https://doi.org/https://doi.org/10.1016/j.fss.2014.10.023
- Chanthorn, P., Rajchakit, G., Kaewmesri, P., Sriraman, R., & Lim, C. P. (2020). A delay-Dividing approach to robust stability of uncertain stochastic complex-Valued Hopfield delayed neural networks. Symmetry, 12(5), 683. https://doi.org/https://doi.org/10.3390/sym12050683
- Chanthorn, P., Rajchakit, G., Thipcha, J., Emharuethai, C., Sriraman, R., Lim, C. P., & Ramachandran, R. (2020). Robust stability of complex-Valued stochastic neural networks with time-Varying delays and parameter uncertainties. Mathematics, 8(5), 742. https://doi.org/https://doi.org/10.3390/math8050742
- da Silva Campos, V. C., Nguyen, A. T., & Palhares, R. M. (2017). A comparison of different upper-bound inequalities for the membership functions derivative. IFAC-PapersOnLine, 50(1), 3001–3006. https://doi.org/https://doi.org/10.1016/j.ifacol.2017.08.667
- El Aiss, H., Hmamed, A., & El Adel, M. (2017). Delay dependent stability criteria a stabilization for discrete-Time system via three terms approximation. Journal of Control Engineering and Applied Informatics, 19(4), 3–12.
- El Aiss, H., Hmamed, A., & El Hajjaji, A. (2016). Stability of neutral time varying delay systems: A delay partitioning approach. In 2016 5th international conference on systems and control (ICSC) (pp. 256–261).
- Fridman, E., & Shaked, U. (2006). Input–output approach to stability and L2-gain analysis of systems with time-varying delays input–output approach to stability and L2-gain analysis of systems with time-varying delays. Systems & Control Letters, 55(12), 1041–1053. https://doi.org/https://doi.org/10.1016/j.sysconle.2006.07.002
- Gao, H., Liu, X., & Lam, J. (2008). Stability analysis and stabilization for discrete-time fuzzy systems with time-varying delay. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 39(2), 306–317. https://doi.org/https://doi.org/10.1109/TSMCB.2008.2003449
- Grassberger, P., & Procaccia, I. (2004). Measuring the strangeness of strange attractors. In B. R. Hunt, T. Y. Li, J. A. Kennedy J.A., H. E. Nusse (eds.), The theory of chaotic attractors (pp. 170–189). New York, NY: Springer.
- Gu, K., Zhang, Y., & Xu, S. (2011). Small gain problem in coupled differential-difference equations, time-varying delays, and direct Lyapunov method. International Journal of Robust and Nonlinear Control, 21(4), 429–451. https://doi.org/https://doi.org/10.1002/rnc.v21.4
- Gunasekaran, N., Thoiyab, N. M., Muruganantham, P., Rajchakit, G., & Unyong, B. (2020). Novel results on global robust stability analysis for dynamical delayed neural networks under parameter uncertainties. IEEE Access, 8, 178108–178116. https://doi.org/https://doi.org/10.1109/Access.6287639
- Hmamed, A. (2006). A projection approach to the delay-dependant stability for neutral delay-differential systems. In Isccsp-second international symposium on communications, control and signal processing, Marrakech.
- Hmamed, A., Chaibi, R., & Tadeo, F. (2016). Stabilization of discrete-time 2-D T-S Fuzzy system via a sum of squares (SOS) approach. In 2016 5th international conference on systems and control (ICSC) (pp. 109–114).
- Hmamed, A., El Aiss, H., & EL Hajjaji, A. (2015). Stability analysis of linear systems with time varying delay: An input output approach. In 2015 54th IEEE conference on decision and control (CDC) (pp. 1756–1761).
- Hourfar, F., Khoshnevisan, L., Moshiri, B., Salahshoor, K., & Elkamel, A. (2020). Mixed H∞/Passivity controller design through LMI approach applicable for waterflooding optimization in the presence of geological uncertainty mixed H∞/Passivity controller design through lmi approach applicable for waterflooding optimization in the presence of geological uncertainty. Computers & Chemical Engineering, 142(9), 107055. https://doi.org/https://doi.org/10.1016/j.compchemeng.2020.107055
- Huang, Y. P., & Zhou, K. (2000). Robust stability of uncertain time-delay systems. IEEE Transactions on Automatic Control, 45(11), 2169–2173. https://doi.org/https://doi.org/10.1109/9.887666
- Kao, C. Y., & Lincoln, B. (2004). Simple stability criteria for systems with time-varying delays. Automatica, 40(8), 1429–1434. https://doi.org/https://doi.org/10.1016/j.automatica.2004.03.011
- Kavikumar, R., Sakthivel, R., Kwon, O., & Kaviarasan, B. (2019). Finite-time boundedness of interval type-2 fuzzy systems with time delay and actuator faults. Journal of the Franklin Institute, 356(15), 8296–8324. https://doi.org/https://doi.org/10.1016/j.jfranklin.2019.07.031
- Khoshnevisan, L., Momeni, H. R., & Ashraf-Modarres, A. (2011). H∞ robust fault detection filter in drum boiler systems h∞ robust fault detection filter in drum boiler systems. In 2011 IEEE GCC conference and exhibition (GCC) (pp. 577–580).
- Kim, E., & Lee, H. (2000). New approaches to relaxed quadratic stability condition of fuzzy control systems. IEEE Transactions on Fuzzy Systems, 8(5), 523–534. https://doi.org/https://doi.org/10.1109/91.873576
- Kim, S. H. (2010). Improved approach to robust H∞ stabilization of discrete-Time T–S fuzzy systems with time-Varying delays improved approach to robust H∞ stabilization of discrete-time t–s fuzzy systems with time-varying delays. IEEE Transactions on Fuzzy Systems, 18(5), 1008–1015. https://doi.org/https://doi.org/10.1109/TFUZZ.2010.2062523
- Li, H., Wang, J., Wu, L., Lam, H. K., & Gao, Y. (2017). Optimal guaranteed cost sliding-mode control of interval type-2 fuzzy time-delay systems. IEEE Transactions on Fuzzy Systems, 26(1), 246–257. https://doi.org/https://doi.org/10.1109/TFUZZ.91
- Li, Z., Gao, H., & Agarwal, R. K. (2013). Stability analysis and controller synthesis for discrete-time delayed fuzzy systems via small gain theorem. Information Sciences, 226(5), 93–104. https://doi.org/https://doi.org/10.1016/j.ins.2012.11.008
- Lian, Z., He, Y., Shi, P., & Wu, M. (2020). A new filter design method for a class of fuzzy systems with time delays. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 1–11. https://doi.org/https://doi.org/10.1109/TSMC.2019.2961143
- Lien, C., Yu, K., Chen, W., Wan, Z., & Chung, Y. (2007). Stability criteria for uncertain Takagi-Sugeno fuzzy systems with interval time-varying delay. IET Control Theory & Applications, 1(3), 764–769. https://doi.org/https://doi.org/10.1049/iet-cta:20060299
- Lin, C., Wang, Q. G., & Lee, T. H. (2005). Stabilization of uncertain fuzzy time-delay systems via variable structure control approach. IEEE Transactions on Fuzzy Systems, 13(6), 787–798. https://doi.org/https://doi.org/10.1109/TFUZZ.2005.859310
- Lin, Z., Huijun, G., & Karimi, H. R. (2013). Robust stability and stabilization of uncertain T-S fuzzy systems with time-Varying delay: An input-Output approach. IEEE Transactions on Fuzzy Systems, 21(5), 883–897. https://doi.org/https://doi.org/10.1109/TFUZZ.2012.2235840
- Liu, F., Wu, M., He, Y., & Yokoyama, R. (2010). New delay-dependent stability criteria for T-S fuzzy systems with time-varying delay. Fuzzy Sets and Systems, 161(15), 2033–2042. https://doi.org/https://doi.org/10.1016/j.fss.2009.12.014
- Liu, J., Gu, Z., Tian, E., & Yan, R. (2012). New results on H∞ filter design for nonlinear systems with time-delay through a TS fuzzy model approach new results on H∞ filter design for nonlinear systems with time-delay through a ts fuzzy model approach. International Journal of Systems Science, 43(3), 426–442. https://doi.org/https://doi.org/10.1080/00207721.2010.502599
- Mobayen, S., Bayat, F., Omidvar, H., & Fekih, A. (2020). Robust global controller design for discrete-time descriptor systems with multiple time-varying delays. International Journal of Robust and Nonlinear Control, 30(7), 2809–2831. https://doi.org/https://doi.org/10.1002/rnc.v30.7
- Mobayen, S., & Ma, J. (2018). Robust finite-time composite nonlinear feedback control for synchronization of uncertain chaotic systems with nonlinearity and time-delay. Chaos, Solitons & Fractals, 114, 46–54. https://doi.org/https://doi.org/10.1016/j.chaos.2018.06.020
- Park, M. J., & Kwon, O. M. (2016). Stability and stabilization of discrete-time T-S fuzzy systems with time-varying delay via cauchy–Schwartz-based summation inequality. IEEE Transactions on Fuzzy Systems, 25(1), 128–140. https://doi.org/https://doi.org/10.1109/TFUZZ.2016.2551290
- Peng, C., & Han, Q. L. (2011). Delay-range-dependent robust stabilization for uncertain T-S fuzzy control systems with interval time-varying delays. Information Sciences, 181(19), 4287–4299. https://doi.org/https://doi.org/10.1016/j.ins.2011.05.025
- Rajchakit, G. (2012). Robust stability and stabilization of nonlinear uncertain stochastic switched discrete-time systems with interval time-varying delays. Appl. Math. Inform. Sci, 6, 555–565.
- Rajchakit, G., Chanthorn, P., Niezabitowski, M., Raja, R., Baleanu, D., & Pratap, A. (2020). Impulsive effects on stability and passivity analysis of memristor-based fractional-order competitive neural networks. Neurocomputing, 417, 290–301. https://doi.org/https://doi.org/10.1016/j.neucom.2020.07.036
- Rajchakit, G., Sriraman, R., Kaewmesri, P., Chanthorn, P., Lim, C. P., & Samidurai, R. (2020). An extended analysis on robust dissipativity of uncertain stochastic generalized neural networks with Markovian jumping parameters. Symmetry, 12(6), 1035. https://doi.org/https://doi.org/10.3390/sym12061035
- Ramakrishnan, K., & Ray, G. (2011). Improved delay-range-dependent robust stability criteria for a class of Lur'e systems with sector-bounded nonlinearity. Journal of the Franklin Institute, 348(8), 1769–1786. https://doi.org/https://doi.org/10.1016/j.jfranklin.2011.04.015
- Rasoolinasab, S., Mobayen, S., Fekih, A., Narayan, P., & Yao, Y. (2020). A composite feedback approach to stabilize nonholonomic systems with time varying time delays and nonlinear disturbances. ISA Transactions, 101, 177–188. https://doi.org/https://doi.org/10.1016/j.isatra.2020.02.009.
- Silva, L. F., Leite, V. J., Castelan, E. B., & Feng, G. (2018). Delay dependent local stabilization conditions for time-delay nonlinear discrete-time systems using Takagi-Sugeno models. International Journal of Control, Automation and Systems, 16(3), 1435–1447. https://doi.org/https://doi.org/10.1007/s12555-017-0526-z
- Su, X., Shi, P., Wu, L., & Song, Y. D. (2012). A novel control design on discrete-time Takagi–Sugeno fuzzy systems with time-varying delays. IEEE Transactions on Fuzzy Systems, 21(4), 655–671. https://doi.org/https://doi.org/10.1109/TFUZZ.2012.2226941
- Takagi, T., & Sugeno, M. (1985). Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics (pp. 116–132). IEEE. https://doi.org/https://doi.org/10.1109/TSMC.1985.6313399
- Wu, L., Su, X., Shi, P., & Qiu, J. (2010). A new approach to stability analysis and stabilization of discrete-time T-S fuzzy time-varying delay systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 41(1), 273–286. https://doi.org/https://doi.org/10.1109/TSMCB.2010.2051541
- Xia, Y., Liu, G. P., Shi, P., Rees, D., & Thomas, E. (2007). New stability and stabilization conditions for systems with time-delay. International Journal of Systems Science, 38(1), 17–24. https://doi.org/https://doi.org/10.1080/00207720601053675
- Yang, X., Wu, L., Lam, H. K., & Su, X. (2013). Stability and stabilization of discrete-time T-S fuzzy systems with stochastic perturbation and time-varying delay. IEEE Transactions on Fuzzy Systems, 22(1), 124–138. https://doi.org/https://doi.org/10.1109/TFUZZ.2013.2249518
- Yang, Y., Niu, Y., & Zhang, Z. (2020). Dynamic event-triggered sliding mode control for interval type-2 fuzzy systems with fading channels. ISA Transactions. https://doi.org/https://doi.org/10.1016/j.isatra.2020.10.035
- Zhang, J., Knopse, C. R., & Tsiotras, P. (2001). Stability of time-delay systems: Equivalence between Lyapunov and scaled small-gain conditions. IEEE Transactions on Automatic Control, 46(3), 482–486. https://doi.org/https://doi.org/10.1109/9.911428
- Zhang, Z., Lin, C., & Chen, B. (2016). New results on H∞ filter design for nonlinear time-Delay systems via fuzzy line-Integral approach new results on H∞ filter design for nonlinear time-delay systems via fuzzy line-integral approach. International Journal of Fuzzy Systems, 18(5904–913. https://doi.org/https://doi.org/10.1007/s40815-015-0126-0
- Zhao, T., & Dian, S. (2017). Delay-dependent stabilization of discrete-time interval type-2 T-S fuzzy systems with time-varying delay. Journal of the Franklin Institute, 354(3), 1542–1567. https://doi.org/https://doi.org/10.1016/j.jfranklin.2016.12.002
- Zhao, T., Liu, J., & Dian, S. (2019). Finite-time control for interval type-2 fuzzy time-delay systems with norm-bounded uncertainties and limited communication capacity. Information Sciences, 483, 153–173. https://doi.org/https://doi.org/10.1016/j.ins.2019.01.044
- Zhu, X. L., & Yang, G. H. (2008). Jensen inequality approach to stability analysis of discrete-time systems with time-varying delay. In 2008 American control conference (pp. 1644–1649).
- Zong, G., & Hou, L. (2010). New delay-dependent stability result and its application to robust performance analysis for discrete-time systems with delay. IMA Journal of Mathematical Control and Information, 27(3), 373–386. https://doi.org/https://doi.org/10.1093/imamci/dnq016
- Zoulagh, T., El Aiss, H., Hmamed, A., & El Hajjaji, A. (2017). H∞ filter design for discrete time-varying delay systems: Three-term approximation approach h∞ filter design for discrete time-varying delay systems: Three-term approximation approach. IET Control Theory & Applications, 12(2), 254–262. https://doi.org/https://doi.org/10.1049/cth2.v12.2