Adaptive event‐based asynchronous approach for containment control of Markov jump multi‐agent systems with hidden Markov models

Abstract This paper focuses on the issue of adaptive event‐triggered containment control for Markov jump multi‐agent systems characterized by hidden Markov jump parameters. The central objective is to design an output‐feedback controller for the Markov jump multi‐agent system by using an adaptive event‐triggered technique that not only ensures the containment control but also optimizes the utilization of network resources. The proposed method involves the use of a hidden Markov model to express the asynchrony between the states of the original Markov chain and the constructed asynchronous controller. By devising an appropriate Lyapunov–Krasovskii functional, we obtain the adequate conditions for solving the containment control problem for the chosen multi‐agent system, presented as linear matrix inequalities. Ultimately, two numerical examples are given to substantiate the efficacy of the obtained theoretical results.