Pinning Control of Uncertain Complex Networks to a Homogeneous Orbit

IEEE Transactions on Circuits and Systems II: Express Briefs(2009)

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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.
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Key words
v-stability tool,index terms—pinning control,developed condition,uncertain systems,uncertain complex networks,pinning control,homogeneous orbit,v-stability,uncertain complex network,linear matrix inequality,homogenous orbit,lorenz system,v-stability.,sufficient condition,analytic result,nonlinear control systems,illustrative example,node self-dynamics,linear matrix inequalities,stability,complex network,symmetric matrices,stability analysis,chirp,couplings,heart,synchronization,complex networks
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