Abstract
In this chapter, the background, motivation and organization of this book are introduced. A review summarizing the research status of switched systems is also presented.
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References
Aleksandrov, A.Y., Chen, Y., Platonov, A.V., Zhang, L.: Stability analysis for a class of switched nonlinear systems. Automatica 47(10), 2286–2291 (2011)
Bagherzadeh, M.A., Ghaisari, J., Askari, J.: Robust exponential stability and stabilisation of parametric uncertain switched linear systems under arbitrary switching. IET Contr. Theory Appl. 10(4), 381–390 (2016)
Bemporad, A., Ferraritrecate, G., Morari, M.: Observability and controllability of piecewise affine and hybrid systems. IEEE Trans. Autom. Control 45(10), 1864–1876 (2000)
Bibinagar, N., Kim, W.: Switched ethernet-based real-time networked control system with multiple-client-server architecture. IEEE-ASME Trans. Mechatron. 18(1), 104–112 (2013)
Bloch, A.M., Reyhanoglu, M., Mcclamroch, N.H.: Control and stabilization of nonholonomic dynamic systems. IEEE Trans. Autom. Control 37(11), 1746–1757 (1992)
Branicky, M.S.: Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Trans. Autom. Control 43(4), 475–482 (1998)
Branicky, M.S., Borkar, V.S., Mitter, S.K.: A unified framework for hybrid control: model and optimal control theory. IEEE Trans. Autom. Control 43(1), 31–45 (1998)
Briat, C.: Convex lifted conditions for robust \(\ell _{2}\)-stability analysis and \(\ell _{2}\)-stabilization of linear discrete-time switched systems with minimum dwell-time constraint. Automatica 50(3), 976–983 (2014)
Briat, C.: Convex conditions for robust stabilization of uncertain switched systems with guaranteed minimum and mode-dependent dwell-time. Syst. Control Lett. 78, 63–72 (2015)
Cheng, D., Guo, L., Lin, Y., Wang, Y.X.: Stabilization of switched linear systems. IEEE Trans. Autom. Control 50(5), 661–666 (2005)
Cheng, J., Zhu, H., Zhong, S., Zhang, Y., Zeng, Y.: Finite-time stabilization of \(\cal{H}_{\infty }\) filtering for switched stochastic systems. Circuits Syst. Signal Process. 32(4), 1595–1613 (2013)
Cheng, J., Zhu, H., Zhong, S., Zheng, F., Zeng, Y.: Finite-time filtering for switched linear systems with a mode-dependent average dwell time. Nonlinear Anal.-Hybrid Syst. 15, 145–156 (2015)
Chung, L.Y., Lien, C.H., Yu, K.W., Chen, J.D.: Robust \(\cal{H}_{\infty }\) filtering for discrete switched systems with interval time-varying delay. Signal Process. 94, 661–669 (2014)
Daafouz, J., Millerioux, G., Iung, C.: A poly-quadratic stability based approach for linear switched systems. Int. J. Control 75, 1302–1310 (2002)
Daafouz, J., Riedinger, P., Iung, C.: Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach. IEEE Trans. Autom. Control 47(11), 1883–1887 (2002)
Deaecto, G.S., Geromel, J.C., Garcia, F.S., Pomilio, J.A.: Switched affine systems control design with application to DC-DC converters. IET Contr. Theory Appl. 4(7), 1201–1210 (2010)
Decarlo, R.A., Branicky, M.S., Pettersson, S., Lennartson, B.: Perspectives and results on the stability and stabilizability of hybrid systems. Proc. IEEE 88(7), 1069–1082 (2000)
Decarlo, R.A., Zak, S.H., Matthews, G.P.: Variable structure control of nonlinear multivariable systems: a tutorial. Proc. IEEE 76(3), 212–232 (1988)
Delchamps, D.F.: Stabilizing a linear system with quantized state feedback. IEEE Trans. Autom. Control 35(8), 916–924 (1990)
Ding, D.W., Yang, G.H.: \(\cal{H}_{\infty }\) static output feedback control for discrete-time switched linear systems with average dwell time. IET Contr. Theory Appl. 4(3), 381–390 (2010)
Dong, W., Farrell, J.A.: Decentralized cooperative control of multiple nonholonomic dynamic systems with uncertainty. Automatica 45(3), 706–710 (2009)
Du, D.: \(\cal{H}_{\infty }\) filter for discrete-time switched systems with time-varying delays. Nonlinear Anal. Hybrid Syst. 4(4), 782–790 (2010)
Du, L., Zhang, Y.: \(\cal{H}_{\infty }\) filtering for switched nonlinear systems: a state projection method. J. Ind. Manag. Optim. 14(1), 19–33 (2018)
Fei, Z., Shi, S., Wang, Z., Wu, L.: Quasi-time-dependent output control for discrete-time switched system with mode-dependent average dwell time. IEEE Trans. Autom. Control 63(8), 2647–2653 (2012)
Feuer, A., Goodwin, G.C., Salgado, M.E.: Potential benefits of hybrid control for linear time invariant plants. In: Proceedings of the 1997 American Control Conference. Albuquerque, NM, USA (1997)
Fu, J., Ma, R., Chai, T.: Global finite-time stabilization of a class of switched nonlinear systems with the powers of positive odd rational numbers. Automatica 54(54), 360–373 (2015)
Fujisawa, T., Kuh, E.S.: Piecewise-linear theory of nonlinear networks. SIAM J. Appl. Math. 22(2), 307–328 (1972)
Furuichi, H., Huang, J., Fukuda, T., Matsuno, T.: Switching dynamic modeling and driving stability analysis of three-wheeled narrow tilting vehicle. IEEE-ASME Trans. Mechatron. 19(4), 1309–1322 (2014)
Furuta, K.: Sliding mode control of a discrete system. Syst. Control Lett. 14(2), 145–152 (1990)
Galbusera, L., Bolzern, P., Deaecto, G.S., Geromel, J.C.: State and output feedback \(\cal{H}_{\infty }\) control of time-delay switched linear systems. Int. J. Robust Nonlinear Control 22(15), 1674–1690 (2012)
Gao, J., Wang, X.T.: Asynchronous \(\cal{H}_{\infty }\) control of switched systems with mode-dependent average dwell time. Circuits Syst. Signal Process. 36(11), 4401–4422 (2017)
Gao, W., Wang, Y., Homaifa, A.: Discrete-time variable structure control systems. IEEE Trans. Ind. Electron. 42(2), 117–122 (1995)
Guckenheimer, J.: A robust hybrid stabilization strategy for equilibria. IEEE Trans. Autom. Control 40(2), 321–326 (1995)
Harashima, F., Hashimoto, H., Kondo, S.: MOSFET converter-fed position servo system with sliding mode control. IEEE Trans. Ind. Electron. 32(3), 238–244 (1985)
Hespanha, J.P.: Uniform stability of switched linear systems: extensions of LaSalle’s invariance principle. IEEE Trans. Autom. Control 49(4), 470–482 (2004)
Hespanha, J.P., Liberzon, D., Angeli, D., Sontag, E.D.: Nonlinear norm-observability notions and stability of switched systems. IEEE Trans. Autom. Control 50(2), 154–168 (2005)
Hespanha, J.P., Liberzon, D., Morse, A.S.: Logic-based switching control of a nonholonomic system with parametric modeling uncertainty. Syst. Control Lett. 38(3), 167–177 (1999)
Hespanha, J.P., Liberzon, D., Morse, A.S.: Overcoming the limitations of adaptive control by means of logic-based switching. Syst. Control Lett. 49(1), 49–65 (2003)
Hespanha, J.P., Morse, A.S.: Stability of switched systems with average dwell-time. In: Proceedings of the 38th IEEE Conference on Decision and Control. Phoenix, AZ, USA (1999)
Hu, K., Yuan, J.: Improved robust \(\cal{H}_{\infty }\) filtering for uncertain discrete-time switched systems. IET Contr. Theory Appl. 3(3), 315–324 (2009)
Huang, S., Xiang, Z.: Finite-time stabilization of a class of switched stochastic nonlinear systems under arbitrary switching. Int. J. Robust Nonlinear Control 26(10), 2136–2152 (2016)
Huang, S., Xiang, Z.: Finite-time stabilization of switched stochastic nonlinear systems with mixed odd and even powers. Automatica 73(73), 130–137 (2016)
Iqbal, M.N., Xiao, J., Xiang, W.: Finite time \(\cal{H}_{\infty }\) filtering for uncertain discrete-time switching systems. Trans. Inst. Meas. Control 35(6), 851–862 (2013)
Ishii, H., Francis, B.A.: Stabilizing a linear system by switching control with dwell time. IEEE Trans. Autom. Control 47(12), 1962–1973 (2002)
Itkis, U.: Control systems of variable structure. Halsted Press (1976)
Jiang, Z., Yan, P.: \(\cal{H}_{\infty }\) output-feedback control for discrete-time switched linear systems via asynchronous switching. J. Frankl. Inst. Eng. Appl. Math. 355(14), 6215–6238 (2018)
Kang, Y., Zhai, D., Liu, G., Zhao, Y.: On input-to-state stability of switched stochastic nonlinear systems under extended asynchronous switching. IEEE T. Cybern. 46(5), 1092–1105 (2016)
Kim, S., Campbell, S.A., Liu, X.: Stability of a class of linear switching systems with time delay. IEEE Trans. Circuits Syst. I-Regul. Pap. 53(2), 384–393 (2006)
Kolmanovsky, I., Mcclamroch, N.H.: Developments in nonholonomic control problems. IEEE Control Syst. Mag. 15(6), 20–36 (1995)
Lee, T., Jiang, Z.P.: Uniform asymptotic stability of nonlinear switched systems with an application to mobile robots. IEEE Trans. Autom. Control 53(5), 1235–1252 (2008)
Leith, D.J., Leithead, W.E.: Performance enhancement of wind turbine power regulation by switched linear control. Int. J. Control 65(4), 555–572 (1996)
Li, X., Lam, J., Gao, H., Xiong, J.: \(\cal{H}_{\infty }\) and \(\cal{H}_{2}\) filtering for linear systems with uncertain Markov transitions. Automatica 67, 252–266 (2016)
Li, Z., Gao, H., Agarwal, R., Kaynak, O.: \(\cal{H}_{\infty }\) control of switched delayed systems with average dwell time. Int. J. Control 86(12), 2146–2158 (2013)
Lian, J., Ge, Y., Han, M.: Stabilization for switched stochastic neutral systems under asynchronous switching. Inf. Sci. 222, 501–508 (2013)
Liberzon, D.: Switching in systems and control. Birkhäuser Boston (2003)
Liberzon, D., Hespanha, J.P., Morse, A.S.: Stability of switched systems: a Lie-algebraic condition. Syst. Control Lett. 37(3), 117–122 (1999)
Liberzon, D., Morse, A.S.: Basic problems in stability and design of switched systems. IEEE Control Syst. Mag. 19(5), 59–70 (1999)
Lin, H., Antsaklis, P.J.: Stability and stabilizability of switched linear systems: a survey of recent results. IEEE Trans. Autom. Control 54(2), 308–322 (2009)
Lin, X., Du, H., Li, S.: Finite-time boundedness and \(l_{2}\)-gain analysis for switched delay systems with norm-bounded disturbance. Appl. Math. Comput. 217(12), 5982–5993 (2011)
Lin, X., Du, H., Li, S., Zou, Y.: Finite-time boundedness and finite-time \(\ell _{2}\) gain analysis of discrete-time switched linear systems with average dwell time. J. Frankl. Inst.-Eng. Appl. Math. 350(4), 911–928 (2013)
Lin, X., Li, S., Zou, Y.: Finite-time stability of switched linear systems with subsystems which are not finite-time stable. IET Contr. Theory Appl. 8(12), 1137–1146 (2014)
Liu, H., Shen, Y.: Asynchronous finite-time stabilisation of switched systems with average dwell time. IET Contr. Theory Appl. 6(9), 1213–1219 (2012)
Liu, H., Shen, Y., Zhao, X.: Delay-dependent observer-based \(\cal{H}_{\infty }\) finite-time control for switched systems with time-varying delay. Nonlinear Anal. Hybrid Syst. 6(3), 885–898 (2012)
Liu, H., Shen, Y., Zhao, X.: Asynchronous finite-time \(\cal{H}_{\infty }\) control for switched linear systems via mode-dependent dynamic state-feedback. Nonlinear Anal. Hybrid Syst. 8, 109–120 (2013)
Liu, H., Zhao, X.: Finite-time \(\cal{H}_{\infty }\) control of switched systems with mode-dependent average dwell time. J. Frankl. Inst. Eng. Appl. Math. 351(3), 1301–1315 (2014)
Liu, J., Liu, X., Xie, W.: Uniform stability of switched nonlinear systems. Nonlinear Anal. Hybrid Syst. 3(4), 441–454 (2009)
Liu, K., Lee, F.C.: Zero-voltage switching technique in DC/DC converters. IEEE Trans. Power Electron. 5(3), 293–304 (1990)
Liu, L., Zhou, Q., Liang, H., Wang, L.: Stability and stabilization of nonlinear switched systems under average dwell time. Appl. Math. Comput. 298, 77–94 (2017)
Lu, B., Wu, F.: Switching LPV control designs using multiple parameter-dependent Lyapunov functions. Automatica 40(11), 1973–1980 (2004)
Lu, B., Wu, F., Kim, S.W.: Switching LPV control of an F-16 aircraft via controller state reset. IEEE Trans. Control Syst. Technol. 14(2), 267–277 (2006)
Lu, Q., Zhang, L., Karimi, H.R., Shi, Y.: \(\cal{H}_{\infty }\) control for asynchronously switched linear parameter-varying systems with mode-dependent average dwell time. IET Contr. Theory Appl. 7(5), 673–683 (2013)
Luo, J., Tian, W., Zhong, S., Shi, K., Wang, W.: Non-fragile asynchronous event-triggered control for uncertain delayed switched neural networks. Nonlinear Anal. Hybrid Syst. 29, 54–73 (2018)
Mahmoud, M.S., Shi, P.: Asynchronous \(\cal{H}_{\infty }\) filtering of discrete-time switched systems. Signal Process. 92(10), 2356–2364 (2012)
Mancillaaguilar, J.L.: A condition for the stability of switched nonlinear systems. IEEE Trans. Autom. Control 45(11), 2077–2079 (2000)
Mao, Y., Zhang, H., Xu, S.: The exponential stability and asynchronous stabilization of a class of switched nonlinear system via the T-S fuzzy model. IEEE Trans. Fuzzy Syst. 22(4), 817–828 (2014)
Margaliot, M., Liberzon, D.: Lie-algebraic stability conditions for nonlinear switched systems and differential inclusions. Syst. Control Lett. 55(1), 8–16 (2006)
Mcclamroch, N.H., Kolmanovsky, I.: Performance benefits of hybrid control design for linear and nonlinear systems. Proc. IEEE 88(7), 1083–1096 (2000)
Morse, A.S.: Supervisory control of families of linear set-point controllers-part I: exact matching. IEEE Trans. Autom. Control 41(10), 1413–1431 (1996)
Muller, M.A., Liberzon, D.: Input/output-to-state stability and state-norm estimators for switched nonlinear systems. Automatica 48(9), 2029–2039 (2012)
Narendra, K.S., Balakrishnan, J.: Adaptive control using multiple models. IEEE Trans. Autom. Control 42(2), 171–187 (1997)
Niu, B., Zhao, J.: Robust \(\cal{H}_{\infty }\) control for a class of uncertain nonlinear switched systems with average dwell time. Int. J. Control 86(6), 1107–1117 (2013)
Ooba, T., Funahashi, Y.: Two conditions concerning common quadratic Lyapunov functions for linear systems. IEEE Trans. Autom. Control 42(5), 719–721 (1997)
Orlov, Y.: Finite time stability and robust control synthesis of uncertain switched systems. SIAM J. Control Optim. 43(4), 1253–1271 (2005)
Phat, V.N., Ratchagit, K.: Stability and stabilization of switched linear discrete-time systems with interval time-varying delay. Nonlinear Anal. Hybrid Syst. 5(4), 605–612 (2011)
Ren, H., Zong, G.: Asynchronous input-output finite-time filtering for switched LPV systems. J. Frankl. Inst.-Eng. Appl. Math. 354(14), 6292–6311 (2017)
Ren, H., Zong, G., Li, T.: Event-triggered finite-time control for networked switched linear systems with asynchronous switching. IEEE Trans. Syst. Man Cybern. -Syst. 48, 1874–1884 (2018)
Roll, J., Bemporad, A., Ljung, L.: Identification of piecewise affine systems via mixed-integer programming. Automatica 40(1), 37–50 (2004)
Sakly, A., Kermani, M.: Stability and stabilization studies for a class of switched nonlinear systems via vector norms approach. ISA Trans. 57, 144–161 (2015)
Sakthivel, R., Joby, M., Shi, P., Kaviarasan, B.: Robust reliable sampled-data control for switched systems with application to flight control. Int. J. Syst. Sci. 47(15), 3518–3528 (2018)
Sang, H., Nie, H.: Asynchronous \(\cal{H}_{\infty }\) control for discrete-time switched systems under state-dependent switching with dwell time constraint. Nonlinear Anal. Hybrid Syst. 29, 187–202 (2018)
Seeman, M.D., Sanders, S.R.: Analysis and optimization of switched-capacitor DC-DC converters. IEEE Trans. Power Electron. 23(2), 841–851 (2008)
Shi, S., Fei, Z., Li, J.: Finite-time \(\cal{H}_{\infty }\) control of switched systems with mode-dependent average dwell time. J. Frankl. Inst. Eng. Appl. Math. 353(1), 221–234 (2016)
Shi, S., Fei, Z., Qiu, J., Wu, L.: Quasi-time-dependent control for 2-D switched systems with actuator saturation. Inf. Sci. 408, 115–128 (2017)
Shi, S., Fei, Z., Shi, Z., Ren, S.: Stability and stabilization for discrete-time switched systems with asynchronism. Appl. Math. Comput. 338, 520–536 (2018)
Shi, S., Shi, Z., Fei, Z., Ren, S.: Finite-time output feedback control for discrete-time switched linear systems with mode-dependent persistent dwell-time. J. Frankl. Inst. Eng. Appl. Math. 355(13), 5560–5575 (2018)
Shorten, R., Narendra, K.S., Mason, O.: A result on common quadratic Lyapunov functions. IEEE Trans. Autom. Control 48(1), 110–113 (2003)
Shorten, R., Wirth, F., Mason, O., Wulff, K., King, C.: Stability criteria for switched and hybrid systems. SIAM Rev. 49(4), 545–592 (2007)
Sun, X., Wang, W., Liu, G., Zhao, J.: Stability analysis for linear switched systems with time-varying delay. IEEE Trans. Syst. Man Cybern. Part B-Cybern. 38(2), 528–533 (2008)
Sun, X., Zhao, J., Hill, D.J.: Stability and \(l_{2}\)-gain analysis for switched delay systems: a delay-dependent method. Automatica 42(10), 1769–1774 (2006)
Sun, Y., Wang, L.: On stability of a class of switched nonlinear systems. Automatica 49(1), 305–307 (2013)
Sun, Z., Sam, G.S.: Switched Linear Systems: Control and design. Springer (2006)
Taousser, F.Z., Defoort, M., Djemai, M.: Stability analysis of a class of uncertain switched systems on time scale using Lyapunov functions. Nonlinear Anal. Hybrid Syst. 16, 13–23 (2015)
Tian, E., Wong, W.K., Yue, D.: Robust \(\cal{H}_{\infty }\) control for switched systems with input delays: a sojourn-probability-dependent method. Inf. Sci. 283, 22–35 (2014)
Tian, E., Wong, W.K., Yue, D., Yang, T.: \(\cal{H}_{\infty }\) filtering for discrete-time switched systems with known sojourn probabilities. IEEE Trans. Autom. Control 60(9), 2446–2451 (2015)
Tian, Y., Li, S.: Brief exponential stabilization of nonholonomic dynamic systems by smooth time-varying control. Automatica 38(7), 1139–1146 (2002)
Utkin, V.I.: Sliding mode control design principles and applications to electric drives. IEEE Trans. Ind. Electron. 40(1), 23–36 (1993)
Voros, J.: Modeling and parameter identification of systems with multisegment piecewise-linear characteristics. IEEE Trans. Autom. Control 47(1), 184–188 (2002)
Wang, B., Zhang, H., Wang, G., Dang, C.: Asynchronous \(\cal{H}_{\infty }\) filtering for linear switched systems with average dwell time. Int. J. Syst. Sci. 47(12), 2783–2791 (2015)
Wang, D., Wang, W., Shi, P.: Design on \(\cal{H}_{\infty }\) filtering for discrete-time switched delay systems. Int. J. Syst. Sci. 42(12), 1965–1973 (2011)
Wang, X., Zhao, J.: Autonomous switched control of load shifting robot manipulators. IEEE Trans. Ind. Electron. 64(9), 7161–7170 (2017)
Wang, X., Zong, G., Sun, H.: Asynchronous finite-time dynamic output feedback control for switched time-delay systems with non-linear disturbances. IET Contr. Theory Appl. 10(10), 1142–1150 (2016)
Wang, Y.E., Sun, X., Shi, P., Zhao, J.: Input-to-state stability of switched nonlinear systems with time delays under asynchronous switching. IEEE T. Cybern. 43(6), 2261–2265 (2013)
Wang, Y.E., Sun, X., Wu, B.: Lyapunov-Krasovskii functionals for switched nonlinear input delay systems under asynchronous switching. Automatica 61(61), 126–133 (2015)
Wang, Y.E., Sun, X., Zhao, J.: Asynchronous \(\cal{H}_{\infty }\) control of switched delay systems with average dwell time. J. Frankl. Inst.-Eng. Appl. Math. 349(10), 3159–3169 (2012)
Wang, Y.E., Sun, X.M., Mazenc, F.: Stability of switched nonlinear systems with delay and disturbance. Automatica 69, 78–86 (2016)
Wang, Y.E., Zhao, J., Jiang, B.: Stabilization of a class of switched linear neutral systems under asynchronous switching. IEEE Trans. Autom. Control 58(8), 2114–2119 (2013)
Wen, J., Nguang, K.S., Shi, P., Zhao, X.: Stability and \(\cal{H}_{\infty }\) control of discrete-time switched systems via one-step ahead Lpunov function approach. IET Contr. Theory Appl. 12(8), 1141–1147 (2018)
Wirth, F.: A converse Lapunov theorem for linear parameter-varying and linear switching systems. SIAM J. Control Optim. 44(1), 210–239 (2005)
Wong, W.S., Brockett, R.W.: Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback. IEEE Trans. Autom. Control 44(5), 1049–1053 (1999)
Wu, F., Yang, X.H., Packard, A., Becker, G.: Induced \(l_{2}\)-norm control for LPV systems with bounded parameter variation rates. Int. J. Robust Nonlinear Control 6(910), 983–998 (1996)
Wu, L., Lam, J.: Weighted \(\cal{H}_{\infty }\) filtering of switched systems with time-varying delay: average dwell time approach. Circuits Syst. Signal Process. 28(6), 1017–1036 (2009)
Xiang, W.: Convex sufficient conditions on asymptotic stability and \(\ell _{2}\)-gain performance for uncertain discrete-time switched linear systems. IET Contr. Theory Appl. 8(3), 211–218 (2014)
Xiang, W.: On equivalence of two stability criteria for continuous-time switched systems with dwell time constraint. Automatica 54(54), 36–40 (2015)
Xiang, W.: Necessary and sufficient condition for stability of switched uncertain linear systems under dwell-time constraint. IEEE Trans. Autom. Control 61(11), 3619–3624 (2016)
Xiang, W., Jian, X.: \(\cal{H}_{\infty }\) filtering for switched nonlinear systems under asynchronous switching. Int. J. Syst. Sci. 42(5), 751–765 (2011)
Xiang, W., Jian, X., Mahmoud, M.S.: \(\cal{H}_{\infty }\) filtering for switched discrete-time systems under asynchronous switching: a dwell-time dependent Lyapunov functional method. Int. J. Adapt. Control Signal Process. 29(8), 971–990 (2015)
Xiang, W., Lam, J., Shen, J.: Stability analysis and \(\cal{L}_{1}\)-gain characterization for switched positive systems under dwell-time constraint. Automatica 85, 1–8 (2017)
Xiang, Z., Liang, C., Mahmoud, M.S.: Robust \(\cal{H}_{\infty }\) filtering for discrete-time switched time-delay systems with missing measurements and asynchronous switching. Trans. Inst. Meas. Control 35(2), 200–211 (2013)
Xiao, J., Xiang, W.: New results on asynchronous \(\cal{H}_{\infty }\) control for switched discrete-time linear systems under dwell time constraint. Appl. Math. Comput. 242, 601–611 (2014)
Xiao, X., Park, J.H., Zhou, L.: Event-triggered \(\cal{H}_{\infty }\) filtering of discrete-time switched linear systems. ISA Trans. 77, 112–121 (2018)
Xiao, X., Zhou, L., Lu, G.: Event-triggered \(\cal{H}_{\infty }\) filtering of continuous-time switched linear systems. Signal Process. 141, 343–349 (2017)
Xu, L., Wang, Q., Li, W., Hou, Y.: Stability analysis and stabilisation of full-envelope networked flight control systems: switched system approach. IET Contr. Theory Appl. 6(2), 286–296 (2012)
Yan, P., Ozbay, H.: Stability analysis of switched time delay systems. SIAM J. Control Optim. 47(2), 936–949 (2008)
Yang, H., Jiang, B., Staroswiecki, M.: Supervisory fault tolerant control for a class of uncertain nonlinear systems. Automatica 45(10), 2319–2324 (2009)
Yang, H., Jiang, B., Zhao, J.: On finite-time stability of cyclic switched nonlinear systems. IEEE Trans. Autom. Control 60(8), 2201–2206 (2015)
Yazdi, M.B., Jahedmotlagh, M.R.: Stabilization of a CSTR with two arbitrarily switching modes using modal state feedback linearization. Chem. Eng. J. 155(3), 838–843 (2009)
Yin, Y., Zong, G., Zhao, X.: Improved stability criteria for switched positive linear systems with average dwell time switching. J. Frankl. Inst.-Eng. Appl. Math. 354(8), 3472–3484 (2017)
Yu, Q., Wu, B.: Robust stability analysis of uncertain switched linear systems with unstable subsystems. Int. J. Syst. Sci. 46(7), 1278–1287 (2015)
Yuan, G.S., Long, W., Xie, G.: Delay-dependent robust stability and \(\cal{H}_{\infty }\) control for uncertain discrete-time switched systems with mode-dependent time delays. Appl. Math. Comput. 187(2), 1228–1237 (2007)
Yuan, S., Zhang, L., De Schutter, B., Baldi, S.: A novel Lyapunov function for a non-weighted \(l_{2}\) gain of asynchronously switched linear systems. Automatica 87(87), 310–317 (2018)
Zefran, M., Burdick, J.W.: Stability of switched systems with average dwell-time. In: Proceedings of the 37th IEEE Conference on Decision and Control. Tampa, FL, USA (1998)
Zhang, L., Boukas, E.K., Shi, P., Chen, Z.: A \(\mu \)-dependent approach to \(\cal{H}_{\infty }\) control of uncertain switched linear systems with average dwell time. Optim. Control Appl. Methods 32(1), 15–27 (2011)
Zhang, L., Cui, N., Liu, M., Zhao, Y.: Asynchronous filtering of discrete-time switched linear systems with average dwell time. IEEE Trans. Circuits Syst. I-Regul. Pap. 58(5), 1109–1118 (2011)
Zhang, L., Dong, X., Qiu, J., Alsaedi, A., Hayat, T.: \(\cal{H}_{\infty }\) filtering for a class of discrete-time switched fuzzy systems. Nonlinear Anal.-Hybrid Syst. 14, 74–85 (2014)
Zhang, L., Gao, H.: Asynchronously switched control of switched linear systems with average dwell time. Automatica 46, 953–958 (2010)
Zhang, L., Shi, P.: \(\cal{H}_{\infty }\) filtering for a class of switched linear parameter varying systems. Int. J. Syst. Sci. 42(5), 781–788 (2011)
Zhang, L., Shi, P., Wang, C., Gao, H.: Robust \(\cal{H}_{\infty }\) filtering for switched linear discrete-time systems with polytopic uncertainties. Int. J. Adapt. Control Signal Process. 20(6), 291–304 (2006)
Zhang, L., Zhu, Y., Shi, P., Qiugang, L.: Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering. Springer (2016)
Zhang, L., Zhuang, S., Shi, P.: Non-weighted quasi-time-dependent \(\cal{H}_{\infty }\) filtering for switched linear systems with persistent dwell-time. Automatica 54, 201–209 (2015)
Zhang, M., Shi, P., Liu, Z., Ma, L., Su, H.: \(\cal{H}_{\infty }\) filtering for discrete-time switched fuzzy systems with randomly occurring time-varying delay and packet dropouts. Signal Process. 143, 320–327 (2018)
Zhang, W.A., Yu, L.: Stability analysis for discrete-time switched time-delay systems. Automatica 45(10), 2265–2271 (2009)
Zhang, Y., Liu, X., Shen, X.: Stability of switched systems with time delay. Nonlinear Anal. Hybrid Syst. 1(1), 44–58 (2007)
Zhao, J., Dimirovski, G.M.: Quadratic stability of a class of switched nonlinear systems. IEEE Trans. Autom. Control 49(4), 574–578 (2004)
Zhao, J., Hill, D.J.: On stability, \(l_{2}\)-gain and \(\cal{H}_{\infty }\) control for switched systems. Automatica 44, 1220–1232 (2008)
Zhao, X., Shi, P., Yin, Y., Nguang, S.K.: New results on stability of slowly switched systems: a multiple discontinuous Lyapunov function approach. IEEE Trans. Autom. Control 62(7), 3502–3509 (2017)
Zhao, X., Yin, Y., Niu, B., Zheng, X.: Stabilization for a class of switched nonlinear systems with novel average dwell time switching by T-S fuzzy modeling. IEEE T. Cybern. 46(8), 1952–1957 (2016)
Zhao, X., Zhang, L., Shi, P., Liu, M.: Stability and stabilization of switched linear systems with mode-dependent average dwell time. IEEE Trans. Autom. Control 57(7), 1809–1815 (2012)
Zheng, Q., Zhang, H.: Asynchronous \(\cal{H}_{\infty }\) fuzzy control for a class of switched nonlinear systems via switching fuzzy Lyapunov function approach. Neurocomputing 182, 178–186 (2016)
Zheng, Q., Zhang, H.: \(\cal{H}_{\infty }\) filtering for a class of nonlinear switched systems with stable and unstable subsystems. Signal Process. 141, 240–248 (2017)
Zhou, J., Park, J.H., Shen, H.: Non-fragile reduced-order dynamic output feedback \(\cal{H}_{\infty }\) control for switched systems with average dwell-time switching. Int. J. Control 89(2), 281–296 (2016)
Zhu, K., Zhao, J., Liu, Y.: \(\cal{H}_{\infty }\) filtering for switched linear parameter-varying systems and its application to aero-engines. IET Contr. Theory Appl. 10(18), 2552–2558 (2016)
Zong, G., Wang, R., Zheng, W., Hou, L.: Finite-time \(\cal{H}_{\infty }\) control for discrete-time switched nonlinear systems with time delay. Int. J. Robust Nonlinear Control 25(6), 914–936 (2015)
Zong, G., Wang, R., Zheng, W.X., Hou, L.: Finite-time stabilization for a class of switched time-delay systems under asynchronous switching. Appl. Math. Comput. 219(11), 5757–5771 (2013)
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Fei, Z., Shi, S., Shi, P. (2020). Introduction. In: Analysis and Synthesis for Discrete-Time Switched Systems. Studies in Systems, Decision and Control, vol 244. Springer, Cham. https://doi.org/10.1007/978-3-030-25812-2_1
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