Further Criteria on Master-Slave Synchronization in Chaotic Lur'e Systems Using Delay Feedback Control

摘要

This paper is concerned with designing delay feedback controllers of master-slave synchronization for Lur'e systems. Through dividing the delay interval into two parts and choosing two augmented Lyapunov-Krasovskii functionals, some delay-dependent synchronization criteria are formulated in terms of linear matrix inequalities (LMIs), in which the conservatism can be effectively reduced based on adjusting some useful parameters. The proposed conditions can be easily checked, and the controller gains can be achieved by solving the derived LMIs. Finally, two numerical examples are given to illustrate the presented results.