Pinning Control of Uncertain Complex Networks to a Homogeneous Orbit

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.