Exponential Synchronizationlike Criterion for State-Dependent Impulsive Dynamical Networks
Liangliang Li, Xin Wang, Chuandong Li, Yuming Feng · IEEE Transactions on Neural Networks and Learning Systems · 2018
This paper focuses on the problem of the exponential synchronizationlike criteria for state-dependent impulsive dynamical networks (SIDNs). Two types of sufficient conditions, which are applied to ensure every solution intersecting each impulsive surface exactly once, are derived. For each type of collision conditions, combining with comparison principle and inequality techniques, some sufficient conditions are obtained to ensure local exponential synchronizationlike for SIDN. Moreover, a quiet different impulsive strategy concerning the trigger rules of impulsive instants is proposed. Finally, an example is given to demonstrate the effectiveness of our results.