Passivity-based stabilization and passive synchronization of complex nonlinear networks

This paper investigates the passive stabilization and passive synchronization problems for complex nonlinear networks. Two classes of complex networks are considered with or without time delays (including the state time-varying delays, feedback time-varying delays and interconnection time-varying delays). The purpose of passive stabilization and passive synchronization is to design a state feedback controller such that the nonlinear dynamical network and the corresponding error dynamical network are passive and stable asymptotically. Delay-independent sufficient conditions for complex nonlinear networks without delays and delay-dependent sufficient conditions for complex nonlinear networks with time-varying delays are provided, respectively, to solve the passive stabilization and passive synchronization problems for the given networks. Two numerical examples are employed to illustrate the effectiveness of the proposed results.