Abstract
This paper is devoted to the study of multi-agent consensus with a time-varying reference state in directed networks with both switching topology and time-varying delay. Stability analysis is performed based on a proposed Lyapunov-Krasovskii function. Sufficient conditions based on linear matrix inequalities (LMIs) are given to guarantee multi-agent consensus on a time-vary reference state under arbitrary switching of the network topology even if the network communication is affected by time-varying delay. Finally, simulation example is given to validate the theoretical results.
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