Abstract

This paper is concerned with leader-following consensus control for multi-agent systems under measurement noises. Time-varying consensus gains are introduced into the network protocol designed. By using the tools of stochastic analysis and algebraic graph theory, a sufficient condition is obtained for the protocol to ensure strong mean square consensus under the fixed topologies. This condition is shown to be necessary and sufficient in the noise-free case. In addition, by using a common Lyapunov function, the result is extended to the switching topology case.

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