References
- Ahn, C. K., Shi, P., & Basin, M. V. (2015). Two-dimensional dissipative control and filtering for roesser model. IEEE Transactions on Automatic Control, 60(7), 1745–1759. doi: 10.1109/TAC.2015.2398887
- Amato, F., & Ariola, M. (2005). Finite-time control of discrete-time linear systems. IEEE Transactions on Automatic Control, 50(5), 724–729. doi: 10.1109/TAC.2005.847042
- Amato, F., Ariola, M., & Cosentino, C. (2010). Finite-time stability of linear time-varying systems: Analysis and controller design. IEEE Transactions on Automatic Control, 55(4), 1003–1008. doi: 10.1109/TAC.2010.2041680
- Amato, F., Ariola, M., & Dorato, P. (2001). Finite-time control of linear systems subject to parametric uncertainties and disturbances. Automatica, 37(9), 1459–1463. doi: 10.1016/S0005-1098(01)00087-5
- Anderson, B. O., Agathoklis, P., Jury, E. I., & Mansour, M. (1986). Stability and the matrix Lyapunov equation for discrete 2-dimensional systems. IEEE Transactions on Circuits and Systems, 33(3), 261–266. doi: 10.1109/TCS.1986.1085912
- Boyd, S., El Ghaoui, L., & Balakrishnan, V. (1994). Linear matrix inequalities in system and control theory. Philadelphia: SIAM.
- Choi, H. D., Ahn, C. K., Shi, P., Wu, L., & Lim, M. T. (2017). Dynamic output-feedback dissipative control for T-S fuzzy systems with time-varying input delay and output constraints. IEEE Transactions on Fuzzy Systems, 25(3), 511–526. doi: 10.1109/TFUZZ.2016.2566800
- Du, C., & Xie, L. (2002). control and filtering of two-dimensional systems. New York: Springer.
- Feng, Z., Lam, J., & Gao, H. (2011). α-dissipativity analysis of singular time-delay systems. Automatica, 47(11), 2548–2552. doi: 10.1016/j.automatica.2011.06.025
- Feng, Z., Lam, J., & Shu, Z. (2013). Dissipative control for linear systems by static output feedback. International Journal of Systems Science, 44(8), 1566–1576. doi: 10.1080/00207721.2012.659698
- Feng, Z., & Shi, P. (2017). Two equivalent sets: Application to singular systems. Automatica, 77, 198–205. doi: 10.1016/j.automatica.2016.11.035
- Fornasini, E., & Marchesini, G. (1978). Doubly indexed dynamical systems: State-space models and structural properties. Mathematical Systems Theory, 12(1), 59–72. doi: 10.1007/BF01776566
- Ghous, I., Xiang, Z., & Karimi, H. R. (2017). H∞ control of 2-D continuous Markovian jump delayed systems with partially unknown transition probabilities. Information Sciences, 382-383(1), 274–291. doi: 10.1016/j.ins.2016.12.018
- Haddad, W. M., & L'Afflitto, A. (2016). Finite-time stabilization and optimal feedback control. IEEE Transactions on Automatic Control, 61(4), 1069–1074. doi: 10.1109/TAC.2015.2454891
- Hill, D., & Moylan, P. (1976). The stability of nonlinear dissipative systems. IEEE Transactions on Automatic Control, 21(5), 708–711. doi: 10.1109/TAC.1976.1101352
- Kaczorek, T. (1985). Two-dimensional linear systems. Berlin, Germany: Springer-Verlag.
- Leon, J. I., Kouro, S., Franquelo, L. G., Rodriguez, J., & Wu, B. (2016). The essential role and the continuous evolution of modulation techniques for voltage-source inverters in the past, present, and future power electronics. IEEE Transactions on Industrial Electronics, 63(5), 2688–2701. doi: 10.1109/TIE.2016.2519321
- Leon, J. I., Vazquez, S., & Franquelo, L. G. (2017). Multilevel converters: Control and modulation techniques for their operation and industrial applications. Proceedings of the IEEE, 105(11), 2066–2081. doi: 10.1109/JPROC.2017.2726583
- Li, Z., Wang, J., & Shao, H. (2002). Delay-dependent dissipative control for linear time-delay systems. Journal of the Franklin Institute, 339(6), 529–542. doi: 10.1016/S0016-0032(02)00030-3
- Liang, J., Wang, Z., & Liu, X. (2015). H∞ control for 2-D time-delay systems with randomly occurring nonlinearities under sensor saturation and missing measurements. Journal of the Franklin Institute, 352(3), 1007–1030. doi: 10.1016/j.jfranklin.2014.11.020
- Lin, X., Du, H., Li, S., & Zou, Y. (2013). Finite-time boundedness and finite-time l2 gain analysis of discrete-time switched linear systems with average dwell time. Journal of the Franklin Institute, 350(4), 911–928. doi: 10.1016/j.jfranklin.2013.01.018
- Mathiyalagan, K., Park, J. H., & Sakthivel, R. (2016). Finite-time boundedness and dissipativity analysis of networked cascade control systems. Nonlinear Dynamics, 84(4), 2149–2160. doi: 10.1007/s11071-016-2635-2
- Roesser, R. (1975). A discrete state-space model for linear image processing. IEEE Transactions on Automatic Control, 20(1), 1–10. doi: 10.1109/TAC.1975.1100844
- Sakthivel, R., Saravanakumar, T., Kaviarasan, B., & Lim, Y. (2017). Finite-time dissipative based fault-tolerant control of Takagi-Sugeno fuzzy systems in a network environment. Journal of the Franklin Institute, 353(8), 3430–3454. doi: 10.1016/j.jfranklin.2017.03.001
- Shen, H., Park, J. H., Zhang, L., & Wu, Z. G. (2014). Robust extended dissipative control for sampled-data Markov jump systems. International Journal of Control, 87(8), 1549–1564. doi: 10.1080/00207179.2013.878478
- Shi, P., Li, F., Wu, L., & Lim, C. C. (2017). Neural network-based passive filtering for delayed neutral-type semi-Markovian jump systems. IEEE Transactions on Neural Networks and Learning Systems, 28(9), 2101–2114.
- Shi, P., Su, X., & Li, F. (2016). Dissipativity-based filtering for fuzzy switched systems with stochastic perturbation. IEEE Transactions on Automatic Control, 61(6), 1694–1699. doi: 10.1109/TAC.2015.2477976
- Song, J., Niu, Y., & Wang, S. (2017). Robust finite-time dissipative control subject to randomly occurring uncertainties and stochastic fading measurements. Journal of the Franklin Institute, 354(9), 3706–3723. doi: 10.1016/j.jfranklin.2016.07.020
- Tan, Z., Soh, Y. C., & Xie, L. (1999). Dissipative control for linear discretetime systems. Automatica, 35(9), 1557–1564. doi: 10.1016/S0005-1098(99)00069-2
- Tan, F., Zhou, B., & Duan, G. R. (2016). Finite-time stabilization of linear time-varying systems by piecewise constant feedback. Automatica, 68(C), 277–285. doi: 10.1016/j.automatica.2016.01.003
- Wang, L., Chen, W., & Li, L. (2017). Dissipative stability analysis and control of two-dimensional Fornasini-Marchesini local state-space model. International Journal of Systems Science, 48(8), 1744–1751. doi: 10.1080/00207721.2017.1282059
- Wang, S., Shi, T., Zhang, L., Jasra, A., & Zeng, M. (2015). Extended finite-time H∞ control for uncertain switched linear neutral systems with time-varying delays. Neurocomputing, 152, 377–387. doi: 10.1016/j.neucom.2014.10.047
- Willems, J. (1972). Dissipative dynamical systems part I: General theory. Archive for Rational Mechanics and Analysis, 45(5), 321–351. doi: 10.1007/BF00276493
- Wu, Z., Shi, P., Su, H., & Chu, J. (2013). Dissipativity analysis for discrete-time stochastic neural networks with time-varying delays. IEEE Transactions on Neural Networks and Learning Systems, 24(3), 345–355. doi: 10.1109/TNNLS.2012.2232938
- Xie, S., Xie, L., & Souza, C. (1998). Robust dissipative control for linear systems with dissipative uncertainty. International Journal of Control, 70(2), 169–191. doi: 10.1080/002071798222352
- Zhang, G., Harry, L. T., Wang, W., & Gao, J. (2017). Input-output finite-region stability and stabilization for discrete 2-D Fornasini-Marchesini models. Systems & Control Letters, 99, 9–16. doi: 10.1016/j.sysconle.2016.10.011
- Zhang, G., & Wang, W. (2016a). Finite-region stability and boundedness for discrete 2-D Fornasini-Marchesini second models. International Journal of Systems Science, 48(4), 778–787. doi: 10.1080/00207721.2016.1212436
- Zhang, G., & Wang, W. (2016b). Finite-region stability and finite-region boundedness for 2-D Roesser models. Mathematical Methods in the Applied Sciences, 39(18), 5757–5769. doi: 10.1002/mma.3982