摘要
利用Lyapunov-Krasovskii泛函方法以及线性矩阵不等式方法,研究具有时变时滞复杂动态网络的指数采样同步控制问题。首先,建立包含更多时滞信息以及采样间隔信息的Lyapunov-Krasovskii泛函,运用更优积分不等式方法处理泛函导数中的积分二次型项,获得一种新的保证误差系统指数同步的稳定性判据。其次,基于此判据设计保证系统同步稳定的采样控制器。仿真结果表明:所得判据具有更小保守性,且采样控制器可行。
By using Lyapunov-Krasovskii functional method and linear matrix inequality method,the problem of sample-data exponential synchronization for complex dynamic networks with time-varying delays was studied.Firstly,the Lyapunov-Krasovskii functional with more information and the sampling interval delay information was constructed.Then,the preferable integral inequality methods were used to estimate the integral quadratic terms among derivative of Lapunov-Krasovskii functional and a new criterion was formulated to ensure the exponential synchronization of the error system.Secondly,a sampling controller was designed based on this criterion to ensure the synchronization of the system.The simulation results show that the derived synchronization criterion is less conservative and it is feasible.
作者
陈刚
王信
肖伸平
罗昌胜
CHEN Gang;WANG Xin;XIAO Shenping;LUO Changsheng(School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China;Key Laboratory for Electric Drive Control and Intelligent of Hunan Province, Zhuzhou 412007, China)
出处
《中南大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2018年第12期2993-3001,共9页
Journal of Central South University:Science and Technology
基金
湖南省自然科学基金资助项目(2018JJ4075)
国家自然科学基金资助项目(6167225
61304064)~~
作者简介
通信作者:陈刚,博士,副教授,从事时滞系统、鲁棒控制研究;E-mail:drchengang@163.com