Mixed [formula omitted] and passive consensus of Markov jump multi-agent systems under DoS attacks with general transition probabilities

Abstract

This paper investigates the leader-following consensus problem of Markov jump multi-agent systems affected by random denial-of-service attacks. A Markov jump process is used to describe the switching topologies caused by attacks, and the general transition probability matrix is employed which is considered as not completely available and contains some errors. Besides, with the help of the Lyapunov stability theory and linear matrix inequality technology, some sufficient conditions are established to make sure that the mixed H∞ and passive consensus can be achieved. Finally, a numerical example is given to illustrate the correctness and effectiveness of the proposed method.