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Impulsive consensus seeking in directed networks of multi-agent systems with communication time delays
Authors:Quanjun Wu  Lan Xiang
Affiliation:1. Shanghai Institute of Applied Mathematics and Mechanics and Shanghai Key Laboratory of Mechanics in Energy Engineering , Shanghai University , Shanghai , P.R. China;2. Department of Mathematics and Physics , Shanghai University of Electric Power , Shanghai , P.R. China;3. Department of Physics, School of Science , Shanghai University , Shanghai , P.R. China
Abstract:In this article, we consider average consensus problem in directed delayed networked multi-agent systems having impulsive effects with fixed topology and stochastic switching topology. A simple impulsive consensus protocol for such networks is proposed, and some generic criteria for solving the average consensus problem are analytically derived. It is shown that a directed delayed networked multi-agent system can achieve average consensus globally exponentially with suitable impulsive gain and impulsive interval. Subsequently, two typical illustrative examples, along with computer simulation results, are provided to visualise the effectiveness and feasibility of our theoretical results.
Keywords:average consensus  impulsive consensus protocol  directed networked multi-agent system  stochastic switching topology  time delay
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