The input passivity and output passivity are investigated for a generalized complex dynamical network,in which the coupling may be nonlinear, time-varying, and nonsymmetric. By constructing some suitable Lyapunovfunctionals, some input and output passivity criteria are derived in form of linear matrix inequalities (LMIs) for complexdynamical network. Finally, a numerical example and its simulation are given to illustrate the efficiency of the derivedresults.
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