关键词: Lyapunov-Krasovskii泛函, 异质动态网络, 拟同步, 采样控制

Abstract:

This paper discusses the quasi-synchronization problem in nonlinear heterogeneous complex dynamical networks with time-varying delays and sampled-data control with input-delay. The Lyapunov-Krasovskii functional with more information and the sampling interval delay information is constructed. Then, based on the Lyapunov-Krasovskii functional approach, integral inequality and linear matrix inequality method, by introducing a leader, sufficient criteria are obtained to guarantee quasi-synchronization for nonlinear heterogeneous dynamical networks. All heterogeneous followers can track the leader within a bounded range. And the upper bound of the quasi-synchronization error can be estimated. Simulation examples are provided to illustrate the theoretical results.

Key words: Lyapunov-Krasovskii functional, heterogeneous dynamical networks, quasi-synchronization, sampled-data control