A delay-decomposition approach to consensus of multi-agent network with time-varying delay

Abstract

This paper mainly focuses on studying the consensus problems of second-order multi-agent networks. By employing a delay-decomposition approach and selecting available Lyapunov functions, some sufficient conditions about the consensus of multi-agent networks are proposed. Then the consensus problems of multi-agent networks with time-varying or constant delay can be solved by some linear matrix inequalities (LMIs). Finally, simulation results are given to support the theoretical results.