H∞ synchronization of the coronary artery system with input time-varying delay

doi:10.1088/1674-1056/25/6/060504

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.

Keywords: coronary artery system chaotic system H_∞ synchronization input delay

Received: 07 January 2016
Revised: 29 January 2016
Accepted manuscript online:

PACS:	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Xt	(Synchronization; coupled oscillators)
	87.19.lr	(Control theory and feedback)

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

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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H∞ synchronization of the coronary artery system with input time-varying delay

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H_∞ synchronization of the coronary artery system with input time-varying delay