State feedback synchronization control of coronary artery chaos system with interval time-varying delay

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• 作者：Wen-Shu Wu ; Zhan-Shan Zhao ; Jing Zhang ; Lian-Kun Sun
• 关键词：Coronary artery chaotic system ; Time ; varying delay ; State feedback control ; Wirtinger ; based inequality ; Delay partition
• 刊名：Nonlinear Dynamics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：87
• 期：3
• 页码：1773-1783
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering;
• 出版者：Springer Netherlands
• ISSN：1573-269X
• 卷排序：87

文摘

In the study on synchronization problems of coronary artery chaos system, one of the often overlooked parts is the controller input delay, also mentioned as the drug absorption time during clinical trials. With the time delay considered in system, mentioned defect might cause random behavior or crashes. This paper studied the state feedback synchronization control for uncertain coronary artery chaotic systems under interval time-varying delay. The triple integral forms are added to Lyapunov–Krasovakii function to provide more information on the input delay. A single integral inequality and a double integral inequality of Wirtinger-based inequality are applied to reduce conservation for their tighter upper bound comparing with the traditional methods. What’s more, the delay interval is decomposed into multiple equidistant subintervals to take a further step of conservation reduction. With the method, the abnormal chaotic motion can be synchronized with the healthy system under instable periodic orbit so as to achieve an effective treatment.