Periodic Self-Triggered Intermittent Control With Impulse for Synchronization of Hybrid Delayed Multi-Links Systems

Abstract

This article is concerned with synchronization of hybrid delayed multi-links systems by periodic self-triggered intermittent control with impulse. Markovian switching, time-varying delays and multi-links are considered in this article, making the model more suitable for depicting real phenomena. To synchronize the systems more effectively, a new kind of hybrid control combining periodic self-triggered control and intermittent impulsive control is designed. Together with the graph theory and the Lyapunov method, sufficient conditions reaching <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$ p$</tex-math></inline-formula> th moment exponential synchronization are presented. The theoretical results are applied to investigate the exponential synchronization of Chua's circuits with Markovian switching and time-varying delays. Finally, the feasibility and effectiveness of theoretical results are checked by a numerical test.