文章基本信息

标题：Synchronization approach for chaotic time-varying delay system based on Wirtinger inequality
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作者：Zhanshan Zhao ; Meili He ; Jing Zhang 等
期刊名称：Advances in Mechanical Engineering
印刷版ISSN：1687-8140
电子版ISSN：1687-8140
出版年度：2017
卷号：9
期号：1
DOI：10.1177/1687814016689023
语种：English
出版社：Sage Publications Ltd.
摘要：A novel control approach based on Wirtinger inequality is designed for nonlinear chaos synchronization time delay system. In order to reduce the conservatism for the stability criterion, a Lyapunov–Krasovskii functional with triple-integral term is constructed. The improved Wirtinger inequality is used to reduce the conservative which is caused by Jensen inequality, and a stability criterion is proposed by reciprocally convex method. Furthermore, a state feedback controller is designed to synchronize the master-slave systems based on the proposed criteria through cone complementary linearization approach. Finally, a simulation for Lorenz chaos time delay system is given to prove the validity based on the proposed synchronization control approach.
关键词：Synchronization; chaotic system; nonlinear time-varying delay; Wirtinger inequality