Model simplification for switched hybrid systems

Boukas, 2005, Stabilization of stochastic nonlinear hybrid systems, Internat J. Innovative Computing, Inform. Control, 1, 131 Branicky, 1998, Multiple Lyapunov functions and other analysis tools for switched and hybrid systems, IEEE Trans. Automat. Control, 43, 475, 10.1109/9.664150 Daafouz, 2002, Robust dynamic output feedback control for switched systems, 4389 Daafouz, 2002, Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach, IEEE Trans. Automat. Control, 47, 1883, 10.1109/TAC.2002.804474 Dayawansa, 1999, A converse Lyapunov theorem for a class of dynamical systems which undergo switching, IEEE Trans. Automat. Control, 44, 751, 10.1109/9.754812 de Oliveira, 1997, Numerical comparison of output feedback design methods, 72 El Ghaoui, 1997, A cone complementarity linearization algorithm for static output-feedback and related problems, IEEE Trans. Automat. Control, 42, 1171, 10.1109/9.618250 Gao, 2004, H∞ model reduction for discrete time-delay systems: delay independent and dependent approaches, Internat. J. Control, 77, 321, 10.1080/00207170410001663525 Glover, 1984, All optimal Hankel-norm approximations of linear multivariable systems and their L∞-error bounds, Internat. J. Control, 39, 1115, 10.1080/00207178408933239 Huang, 2001, A new approach to frequency weighted L2 optimal model reduction, Internat. J. Control, 74, 1239, 10.1080/00207170110063499 Lastman, 1984, Reduced-order aggregated models for bilinear time-invariant dynamical systems, IEEE Trans. Automat. Control, 29, 359, 10.1109/TAC.1984.1103534 Lee, 2000, A new stability analysis of switched systems, Automatica, 36, 917, 10.1016/S0005-1098(99)00208-3 Liberzon, 1999, Stability of switched systems: a Lie-algebraic condition, Systems Control Lett., 37, 117, 10.1016/S0167-6911(99)00012-2 Liberzon, 1999, Basic problems in stability and design of switched systems, IEEE Control Systems Magazine, 19, 59, 10.1109/37.793443 Liu, 2006, Controller design for Markov jumping systems subject to actuator saturation, Automatica, 42, 459, 10.1016/j.automatica.2005.10.017 Liu, 2004, Design of reduced-order H∞ filter for Markovian jumping systems with time delay, IEEE Trans. Circuits Systems (II), 51, 607, 10.1109/TCSII.2004.836882 Matson, 1993, Multiplicative Hankel norm approximation of linear multivariable systems, Internat. J. Control, 58, 129, 10.1080/00207179308922995 Mignone, 2000, Stability and stabilization of piecewise affine and hybrid systems, 504 Moore, 1981, Principal component analysis in linear systems: controllability, observability, and model reduction, IEEE Trans. Automat. Control, 26, 17, 10.1109/TAC.1981.1102568 Morse, 1997 Pernebo, 1982, Model reduction via balanced state space representations, IEEE Trans. Automat. Control, 27, 382, 10.1109/TAC.1982.1102945 Shi, 1999, Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay, IEEE Trans. Automat. Control, 44, 2139, 10.1109/9.802932 Skelton, 1997 Van Der Schaft, 1999 Wang, 2003, Nonlinear filtering for state delayed systems with Markovian switching, IEEE Trans. Signal Process., 51, 2321, 10.1109/TSP.2003.815373 Wicks, 1998, Switched controller synthesis for the quadratic stabilization of a pair of unstable linear systems, European J. Control, 4, 140, 10.1016/S0947-3580(98)70108-6 Xu, 2001, H∞ model reduction for linear time-delay systems: continuous-time case, Internat. J. Control, 74, 1062, 10.1080/00207170110052194 Yan, 1999, An approximate approach to H2 optimal model reduction, IEEE Trans. Automat. Control, 44, 1341, 10.1109/9.774107 Zhang, 2002, On H2 model reduction of bilinear systems, Automatica, 38, 205, 10.1016/S0005-1098(01)00204-7 Zhou, 1995, Frequency weighted L∞ norm and optimal Hankel norm model reduction, IEEE Trans. Automat. Control, 40, 1687, 10.1109/9.467681