Asynchronous Impulsive Bounded Synchronization of Multiplex Networks with Parameter Mismatches and Time-varying Delay

Abstract

The paper mainly copes with bounded synchronization of multiplex networks with time-varying delay via asynchronous impulsive control, where the system structure is the same but the system parameters are mismatched within each layer. Firstly, a novel multiplex network in which the interlayer interactions cross different layers only exist at discrete impulsive instants is put forward. Secondly, in view of different impulse sequences within each layer, based on the average impulse interval and extended comparison principle for impulsive systems, some sufficient criteria for reaching bounded synchronization of heterogenous multiplex networks are addressed. Finally, numerical simulation explicates the validity of some main theoretical results.