Passivity analysis of multi-weighted complex dynamical networks with fixed and switching topologies

In this paper, we respectively discuss passivity of multi-weighted complex dynamical networks with fixed and switching topologies. Firstly, several passivity criteria for the complex dynamical network with fixed topology and multi-weights are established by employing Lyapunov functional approach and inequality techniques. Furthermore, similar methods are used to derive some sufficient conditions for passivity of multi-weighted complex dynamical networks with switching topology. Finally, a numerical example with simulation results is given to show the correctness of the obtained passivity criteria.