Delay-dependent stability and output feedback stabilisation of Markov jump system with time-delay

作     者：Boukas, EK Liu, ZK Shi, P 

作者机构：Ecole Polytech Dept Mech Engn Montreal PQ H3C 3A7 Canada Def Sci & Technol Org Land Operat Div Salisbury SA 5108 Australia 

出 版 物：《IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS》 (IEE Proc Control Theory Appl)

年 卷 期：2002年第149卷第5期

页      面：379-386页

核心收录：

主　　题：asymptotic stability stochastic systems numerical example feedback Time-varying control systems output feedback stabilisation stochastic stability linear matrix inequalities Markov jump system stability criteria sufficient necessary condition mean square quadratic stability Markov processes Algebra dynamical output feedback control law control system synthesis exponential stability LMI-based control design method time-delay Control system analysis and synthesis methods delay-dependent stability delay systems LMI-based sufficient conditions Stability in control theory stochastic dynamic systems 

摘      要：The stochastic stability and stabilisation problems of the Markov jump system (MJS) with time-delay under dynamical output feedback control law is considered. LMI-based sufficient conditions are established for the system to be stochastic stable and exponentially stable. A sufficient and necessary condition for the MJS to be stabilisable in the mean square quadratic stable sense, which implies the stochastic stability of the system, is established. An LMI-based control design method is proposed and a numerical example is included to show the usefulness of the theoretic results.