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

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

中国物理B ›› 2016, Vol. 25 ›› Issue (6): 60504-060504.doi: 10.1088/1674-1056/25/6/060504

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

Xiao-Meng Li(李晓蒙), Zhan-Shan Zhao(赵占山), Jing Zhang(张静), Lian-Kun Sun(孙连坤)

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

收稿日期:2016-01-07 修回日期:2016-01-29 出版日期:2016-06-05 发布日期:2016-06-05
通讯作者: Zhan-Shan Zhao E-mail:zhzhsh127@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61503280, 61403278, and 61272006).

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

Received:2016-01-07 Revised:2016-01-29 Online:2016-06-05 Published:2016-06-05
Contact: Zhan-Shan Zhao E-mail:zhzhsh127@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61503280, 61403278, and 61272006).

摘要/Abstract

摘要：

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.

关键词: coronary artery system, chaotic system, H_∞ synchronization, input delay

Abstract:

Key words: coronary artery system, chaotic system, H_∞ synchronization, input delay

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Xt (Synchronization; coupled oscillators) 87.19.lr (Control theory and feedback)

李晓蒙, 赵占山, 张静, 孙连坤. H_∞ synchronization of the coronary artery system with input time-varying delay[J]. 中国物理B, 2016, 25(6): 60504-060504.

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[J]. Chin. Phys. B, 2016, 25(6): 60504-060504.

参考文献 31

[1]	Zhang Q H Y, Xie X P, Zhu P, Chen H P and He G G 2014 Commun. Nonlinear Sci. Numer. Simul. 19 2793
[2]	Li L, Sun G Q and Jin Z 2010 Appl. Math. Comput. 216 1226
[3]	Li W L 2012 Int. J. Sys. Sci. 43 21
[4]	Xu Z Yand Liu C R 1986 J. Biomath. 1 109
[5]	Gong C Y, Li Y M and Sun X H 2006 J. Appl. Sci. 24 604
[6]	Gong C Y, Li Y M and Sun X H 2008 Math. Prac. Theor. 38 103
[7]	Lin C J, Yang S K and Yau H T 2012 Comput. Math. Appl. 64 988
[8]	Zhao Z S, Zhang J, Ding G and Zhang D K 2015 Acta Phys. Sin. 64 210508 (in Chinese)
[9]	Wen S P, Zeng Z G, Huang T W, Meng Q G and Yao W 2015 IEEE Trans. Neur. Netw. Learning Sys. 26 1493
[10]	Wen S, Yu X, Zeng Z and Wang J 2016 IEEE Trans. Indus. Electron. 63 1308
[11]	Wen S P, Zeng Z G, Huang T W, Yu X H and Xiao M Q 2015 IEEE Trans. Fuzzy Sys. 23 2284
[12]	Li H, Gao Y, Shi P and Lam H K 2015 IEEE Trans. Autom. Control DOI: 10.1109TAC.2015.2503566 doi: 10.1109tac.2015.2503566
[13]	Seuret A and Gouaisbaut F 2013 Automatica 49 2860
[14]	Park M J, Kwon O M, Park J H, Lee S M and Cha E J 2015 Automatica 55 204
[15]	Zhou Q, Shi P, Tian Y and Wang M Y 2015 IEEE Trans. Cybern. 45 2119
[16]	Wang T, Gao H and Qiu J 2016 IEEE Trans. Indus. Electron. 63 2529
[17]	Wang T, Gao H and Qiu J 2016 IEEE Trans. Neur. Netw. Learning Sys. 27 416
[18]	Zhou Q, Li H Y and Shi P 2015 IEEE Trans. Fuzzy Sys. 23 501
[19]	Li H, Wu C, Yin S and Lam H K 2015 IEEE Trans. Fuzzy Sys. Issue 99
[20]	Xie X P, Yue D S and Ma H J 2014 IEEE Trans. Fuzzy Sys. 22 1174
[21]	Zhou Q, Wang L, Wu C, Li H and Du H 2016 IEEE Trans. Syst. Man Cybern. Syst.
[22]	Liu J, Laghrouche S, Harmouche M and Wack M 2014 Control Eng. Prac. 30 124
[23]	Liu J, Laghrouche S and Wack M C 2014 Int. J. Control 87 1117
[24]	Ding S H, Wang J D and Zheng W X 2015 IEEE Trans. Indus. Electron. 62 5899
[25]	Zhou K, Wang Z H, Gao L K, Sun Y and Ma T D 2015 Chin. Phys. B 24 030504
[26]	Liu S G and Chen L Q 2013 Chin. Phys. B 22 100506
[27]	Park J H, Ji D H, Won S C and Lee S M 2008 Appl. Math. Comput. 204 170
[28]	Park P G, Ko J W and Jeong C K 2011 Automatica 47 235
[29]	Ghaoui L E, Oustry F and AitRami M 1997 IEEE Trans. Automat. Control 42 1171
[30]	Gao H, Ding C, Song C and Mei J 2013 IEEE Trans. Indus. Inform. 93 1782
[31]	Wang X, Gao H, Kaynak O and Sun W 2015 IEEEASME Trans. Mech. 21 339

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

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

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 31

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Fangfang Zhang(张芳芳), Zhe Huang(黄哲), Lei Kou(寇磊), Yang Li(李扬), Maoyong Cao(曹茂永), and Fengying Ma(马凤英). Data encryption based on a 9D complex chaotic system with quaternion for smart grid[J]. 中国物理B, 2023, 32(1): 10502-010502.
[2]	Rui Wang(王蕊), Meng-Yang Li(李孟洋), and Hai-Jun Luo(罗海军). Exponential sine chaotification model for enhancing chaos and its hardware implementation[J]. 中国物理B, 2022, 31(8): 80508-080508.
[3]	Shaobo He(贺少波), Huihai Wang(王会海), and Kehui Sun(孙克辉). Solutions and memory effect of fractional-order chaotic system: A review[J]. 中国物理B, 2022, 31(6): 60501-060501.
[4]	Yue Li(李月), Zengqiang Chen(陈增强), Mingfeng Yuan(袁明峰), and Shijian Cang(仓诗建). The transition from conservative to dissipative flows in class-B laser model with fold-Hopf bifurcation and coexisting attractors[J]. 中国物理B, 2022, 31(6): 60503-060503.
[5]	Peng-Fei Fang(方鹏飞), Han Liu(刘涵), Cheng-Mao Wu(吴成茂), and Min Liu(刘旻). Neural-mechanism-driven image block encryption algorithm incorporating a hyperchaotic system and cloud model[J]. 中国物理B, 2022, 31(4): 40501-040501.
[6]	Jun Wang(王君), Yuan-Xi Zhang(张沅熙), Fan Wang(王凡), Ren-Jie Ni(倪仁杰), and Yu-Heng Hu(胡玉衡). Color-image encryption scheme based on channel fusion and spherical diffraction[J]. 中国物理B, 2022, 31(3): 34205-034205.
[7]	Atiyeh Bayani, Sajad Jafari, and Hamed Azarnoush. Explosive synchronization: From synthetic to real-world networks[J]. 中国物理B, 2022, 31(2): 20504-020504.
[8]	Fang-Fang Zhang(张芳芳), Rui Gao(高瑞), and Jian Liu(刘坚). Acoustic wireless communication based on parameter modulation and complex Lorenz chaotic systems with complex parameters and parametric attractors[J]. 中国物理B, 2021, 30(8): 80503-080503.
[9]	Tong-Feng Weng(翁同峰), Xin-Xin Cao(曹欣欣), and Hui-Jie Yang(杨会杰). Complex network perspective on modelling chaotic systems via machine learning[J]. 中国物理B, 2021, 30(6): 60506-060506.
[10]	Abdullah Zafar and Majid Khan. Energy behavior of Boris algorithm[J]. 中国物理B, 2021, 30(5): 55203-055203.
[11]	Fang Yuan(袁方), Cheng-Jun Bai(柏承君), and Yu-Xia Li(李玉霞). Cascade discrete memristive maps for enhancing chaos[J]. 中国物理B, 2021, 30(12): 120514-120514.
[12]	Chenguang Ma(马晨光), Santo Banerjee, Li Xiong(熊丽), Tianming Liu(刘天明), Xintong Han(韩昕彤), and Jun Mou(牟俊). Dynamical analysis, circuit realization, and application in pseudorandom number generators of a fractional-order laser chaotic system[J]. 中国物理B, 2021, 30(12): 120504-120504.
[13]	Li-Lian Huang(黄丽莲), Shuai Liu(刘帅), Jian-Hong Xiang(项建弘), and Lin-Yu Wang(王霖郁). Design and multistability analysis of five-value memristor-based chaotic system with hidden attractors[J]. 中国物理B, 2021, 30(10): 100506-100506.
[14]	Shun-Jie Li(李顺杰), Ya-Wen Wu(吴雅文), and Gang Zheng(郑刚). Adaptive synchronization of chaotic systems with less measurement and actuation[J]. 中国物理B, 2021, 30(10): 100503-100503.
[15]	郑俊, 胡汉平. A novel method of constructing high-dimensional digital chaotic systems on finite-state automata[J]. 中国物理B, 2020, 29(9): 90502-090502.