Analysis and pinning control for passivity of multi-weighted complex dynamical networks with fixed and switching topologies

In this paper, we respectively discuss passivity and pinning passivity of multi-weighted complex dynamical networks. By employing Lyapunov functional approach, several passivity criteria for the complex dynamical network with fixed topology and multi-weights are established. In addition, under the designed pinning adaptive state feedback controller, some sufficient conditions are obtained to ensure the passivity of the multi-weighted complex dynamical network with fixed topology. Furthermore, similar methods are used to derive several criteria for passivity and pinning passivity of complex dynamical networks with switching topology and multi-weights. Finally, two numerical examples with simulation results are given to show the correctness of the obtained passivity criteria.