Synchronisation of a class of networked passive systems with switching topology

This article considers the output synchronisation of a class of networked agents. Each agent is a passive system. Local information, used by each agent to adjust its movement, forms a network with switching adjacent topology. First, we consider the asymptotic stability of switched non-linear time-varying systems with delayed measurement feedback by using multiple Lyapunov function. A Barbalat-like lemma is obtained. Then the result is applied to the output synchronisation of a class of networked passive systems with switching topology. A verifiable sufficient condition is presented.

[1]  A. Isidori,et al.  Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems , 1991 .

[2]  Randal W. Beard,et al.  Consensus seeking in multiagent systems under dynamically changing interaction topologies , 2005, IEEE Transactions on Automatic Control.

[3]  Sui Sun Cheng,et al.  Synchronization in an artificial neural network , 2006 .

[4]  Jiangping Hu,et al.  Tracking control for multi-agent consensus with an active leader and variable topology , 2006, Autom..

[5]  Gordon F. Royle,et al.  Algebraic Graph Theory , 2001, Graduate texts in mathematics.

[6]  Guanrong Chen,et al.  A time-varying complex dynamical network model and its controlled synchronization criteria , 2004, IEEE Trans. Autom. Control..

[7]  Junan Lu,et al.  Adaptive synchronization of an uncertain complex dynamical network , 2006, IEEE Transactions on Automatic Control.

[8]  Reza Olfati-Saber,et al.  Consensus and Cooperation in Networked Multi-Agent Systems , 2007, Proceedings of the IEEE.

[9]  Mark W. Spong,et al.  On synchronization of networked passive systems with time delays and application to bilateral teleoperation , 2005 .

[10]  Lixin Tian,et al.  Dynamics and adaptive synchronization of the energy resource system , 2007 .

[11]  Zhang Yi,et al.  Global synchronization of a class of delayed complex networks , 2006 .

[12]  A. Jadbabaie,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..