Pinning control of uncertain complex networks to a homogeneous orbit

Authors:
Yingying Wu;Wei Wei;Guoyang Li;Ji Xiang
Affiliations:
Department of System Science and Engineering, Zhejiang University, Hangzhou, China;Department of System Science and Engineering, Zhejiang University, Hangzhou, China;Department of System Science and Engineering, Zhejiang University, Hangzhou, China;Department of System Science and Engineering, Zhejiang University, Hangzhou, China
Venue:
IEEE Transactions on Circuits and Systems II: Express Briefs
Year:
2009

Citing 2
Cited 1

Brief paper: On the V-stability of complex dynamical networks

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Brief paper: Pinning adaptive synchronization of a general complex dynamical network

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Stability of dynamical networks with non-identical nodes: A multiple V-Lyapunov function method

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Abstract

A sufficient condition for the stability of uncertain complex networks is derived in terms of linear matrix inequalities based on the V-stability tool, which associates the self-dynamics of nodes with passivity degrees. Then, a pinning control strategy is proposed on the developed condition to stabilize the uncertain complex networks to a homogenous orbit. As an illustrative example, a network with the Lorenz system as node self-dynamics is simulated to verify the analytic results.