摘要：AbstractThis paper studies the consensusability problem of multi-agent systems (MASs) over Markovian packet loss channels. The agents in the MAS communicate with each other through lossy channels. The transmission loss is described by a Markov process. We try to determine conditions under which there exists a linear distributed consensus controller such that the multi-agent system can achieve mean square consensus. First of all, a necessary and sufficient consensus condition is derived based on the stability of Markov jump linear systems. Then a numerically verifiable consensus criterion in terms of the feasibility of linear matrix inequalities is proposed. Furthermore, analytic sufficient conditions and necessary conditions for mean square consensusability are also provided for general MASs to provide insights into the consensusability problem. Moreover, for MASs with scalar agent dynamics, analytic necessary and sufficient consensus conditions are also derived. In the end, numerical simulations are conducted to verify the derived results.
