Abstract
In this brief, the mean stabilization of positive Markov jump systems (PMJSs) with piecewise-homogeneous Markov chain with two switching signals simultaneously is considered. Different from the existing results, asynchronous state feedback controllers are considered to achieve the control objective. Based on the hidden Markov model, the closed-loop systems are modeled as hidden Markov jump systems (HMJSs) with piecewise-homogeneous Markov chain. The definitions of positivity and mean stabilization are introduced for the considered system. Some sufficient conditions are derived to ensure that the HMJSs with piecewise-homogeneous Markov chain are positive and mean stable when the Markov chain follows a conditional probability distribution and Bernoulli distribution, respectively. Simulation results are described to demonstrate the effectiveness of our approach.
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