A Decentralized Markovian Jump Control Strategy For Mobile Multi-Agent Networked Systems

The main purpose of this paper is to discuss the stability problem and the Markov transition probability is completely known when the multi-agent system jump routing con-trol strategy, the specific contents are as follows:First, we give the definitions of stochastic stability in markov jump linear systems[15]. Based on this definition, we consider contin-uous time Markov jump systems, through the reasonable selection of Lyapunov function, the stability analysis result in the transition probability is completely known case. Then, based on the analysis of the results, we give the design method of the controller system stability. Secondly, the emergence of a large number of practical application system of partly unknown transition probabilities, by analyzing the probability of system transfer, we conclude that the stability of the system under the condition of the analysis results. The same method is to select the reasonable Lyapunov function.Finally, for the above two situations are summarized, and pointed out the need to continue the work and research. It is the conclusion of this paper, calculation results based on linear matrix inequality.