Quasi-synchronization of stochastic heterogeneous networks via intermittent pinning sampled-data control

Abstract

This paper is mainly concerned with the quasi-synchronization of stochastic heterogeneous networks (SHNs). Furthermore, the control strategy adopted here combines the advantages of aperiodically intermittent pinning control (AIPC) and sampled-data control, namely intermittent pinning sampled-data control. Different from intermittent control referred to in existing results, the restriction of the lower bound of control rate for AIPC, which is called the quasi-periodicity condition, is removed. As the main results, through an auxiliary timer, Lyapunov method, and inequality techniques, several sufficient conditions for quasi-synchronization of SHNs are derived. Especially, two different estimations of sampling error are given and the obtained results indicate that the maximum allowable bound of the sampling interval can be calculated easily. Then, some easily-verified quasi-synchronization criteria are provided. Finally, to show the feasibility of our theoretical results, two numerical examples are provided.