Stability and Bounded Real Lemmas of Discrete-Time MJLSs with the Markov Chain on a Borel Space

Chunjie Xiao, Ting Hou, Weihai Zhang

In this paper, exponential stability of discrete-time Markov jump linear systems (MJLSs) with the Markov chain on a Borel space $(\Theta ,\mathcal{B}(\Theta ))$ is studied, and bounded real l…