Passivity and Adaptive Control of Complex Dynamical Networks with Multiple Derivative Couplings

A network model with multiple derivative couplings and different dimensions of output and input vectors is investigated in this paper. The problem of passivity for the proposed network model is analyzed by utilizing some inequality techniques and Lyapunov functional method. Moreover, by employing adaptive feedback control strategy, some sufficient conditions for guaranteeing passivity of complex dynamical network with multiple derivative couplings (CDNMDC) are obtained. In the end, we give an example to verify the effectiveness of the results.