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		Z. Feng,G. Hu.[en_title][J].Control Theory and Technology,2014,12(3):304~316.[Copy]

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Passivity based consensus for linear multi agent systems under switching topologies
Z.Feng,G.Hu
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(School of Electrical and Electronic Engineering, Nanyang Technological University)

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Received:July 03, 2014Revised:July 09, 2014

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Passivity-based consensus for linear multi-agent systems under switching topologies

Z. Feng,G. Hu

(School of Electrical and Electronic Engineering, Nanyang Technological University;School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798)

Abstract:

This paper studies the passivity-based consensus analysis and synthesis problems for a class of stochastic multi-agent systems with switching topologies. Based on Lyapunov methods, stochastic theory, and graph theory, new different storage Lyapunov functions are proposed to derive sufficient conditions on mean-square exponential consensus and stochastic passivity for multi-agent systems under two different switching cases, respectively. By designing passive time-varying consensus protocols, the solvability conditions for the passivity-based consensus protocol synthesis problem, i.e., passification, are derived based on linearization techniques. Numerical simulations are provided to illustrate the effectiveness of the proposed methods.

Key words: Consensus Linear multi-agent systems Passivity and passification Networks with switching topology