Restricted Stabilization of Markovian Jump Systems Based on a Period and Random Switching Controller

Abstract

This paper considers the stabilization of continuous-time Markovian jump systems (MJSs) via a restricted controller. It is actually a period and random switching controller. It also contains some existing controllers as special ones. Sufficient conditions for existence of such a controller are established by studying a discrete-time MJS, which are presented in terms of LMIs and depend on its period and probability. Moreover, an extension about a similar but aperiodic controller is considered. Finally, a numerical example is used to demonstrate the effectiveness and superiority of the proposed methods.

Keywords

• Markovian jump systems
• stabilization
• period and random switching
• semi-Markov process
• linear matrix inequalities (LMIs)