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H∞ synchronization of the coronary artery system with input time-varying delay |
Xiao-Meng Li(李晓蒙)1, Zhan-Shan Zhao(赵占山)1, Jing Zhang(张静)2,3, Lian-Kun Sun(孙连坤)1 |
1 School of Computer Science & Software Engineering, Tianjin Polytechnic University, Tianjin 300387, China;
2 School of Textiles, Tianjin Polytechnic University, Tianjin 300387, China;
3 Tianjin Vocational Institute, Tianjin 300410, China |
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Abstract This paper investigates the H∞ synchronization of the coronary artery system with input delay and disturbance. We focus on reducing the conservatism of existing synchronization strategies. Base on the triple integral forms of the Lyapunov-Krasovskii functional (LKF), we utilize single and double integral forms of Wirtinger-based inequality to guarantee that the synchronization feedback controller has good performance against time-varying delay and external disturbance. The effectiveness of our strategy can be exhibited by simulations under the different time-varying delays and different disturbances.
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Received: 07 January 2016
Revised: 29 January 2016
Accepted manuscript online:
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PACS:
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05.45.Gg
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(Control of chaos, applications of chaos)
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05.45.Xt
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(Synchronization; coupled oscillators)
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87.19.lr
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(Control theory and feedback)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61503280, 61403278, and 61272006). |
Corresponding Authors:
Zhan-Shan Zhao
E-mail: zhzhsh127@163.com
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Cite this article:
Xiao-Meng Li(李晓蒙), Zhan-Shan Zhao(赵占山), Jing Zhang(张静), Lian-Kun Sun(孙连坤) H∞ synchronization of the coronary artery system with input time-varying delay 2016 Chin. Phys. B 25 060504
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