Delay-Derivative-Dependent Synchronization for Coupled Lure System with Time-Delay and Nonlinear Couplings
This paper deals with global synchronization in arrays of coupled delayed Lur’e systems with nonlinear couplings, in which the interval variable delay is treated. Together with Krasovskii-Lyapunov functional method and Kronecker product technique, two novel synchronization criteria are presented in terms of linear matrix inequalities (LMIs) based on generalized convex combination, in which the conditions are heavily dependent on upper and lower bounds of time-delay and delay derivative. Through employing LMI in Matlab Toolbox and adjusting some matrix parameters in the derived results, we can realize the designing and applications of the coupled systems. The effectiveness of the proposed methods can be demonstrated by one numerical example with simulations.
Lure systems global synchronization interval time-varying delay nonlinear coupling LMI approach
Tao Li Ting Wang Shumin Fei
School of Electronic Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, Henan Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education,S Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education,
国际会议
2011 China Control and Decision Conference(2011中国控制与决策会议 CCDC)
四川绵阳
英文
1661-1666
2011-05-23(万方平台首次上网日期,不代表论文的发表时间)