Robust H∞ cluster synchronization analysis of Lurie dynamical networks

doi:10.1088/1674-1056/23/4/040501

中国物理B ›› 2014, Vol. 23 ›› Issue (4): 40501-040501.doi: 10.1088/1674-1056/23/4/040501

Robust H_∞ cluster synchronization analysis of Lurie dynamical networks

郭凌^a, 年晓红^b, 潘欢^c, 邴志桐^d

a College of Electrical Engineering, Northwest University for Nationalities, Lanzhou 730030, China;
b College of Information Science and Engineering, Central South University, Changsha 410075, China;
c College of Physics Electrical Information Engineering, Ningxia University, Yinchuan 750021, China;
d Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China

收稿日期:2013-07-07 修回日期:2013-09-24 出版日期:2014-04-15 发布日期:2014-04-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61075065, 60774045, and U1134108), the Talent Introduction Scientific Research Foundation of Northwest University for Nationalities (Grant No. xbmuyjrc201304), and the Foundation for Young Talents of Gansu Province, China (Grant No. 1208RJYA013).

Robust H_∞ cluster synchronization analysis of Lurie dynamical networks

Guo Ling (郭凌)^a, Nian Xiao-Hong (年晓红)^b, Pan Huan (潘欢)^c, Bing Zhi-Tong (邴志桐)^d

a College of Electrical Engineering, Northwest University for Nationalities, Lanzhou 730030, China;
b College of Information Science and Engineering, Central South University, Changsha 410075, China;
c College of Physics Electrical Information Engineering, Ningxia University, Yinchuan 750021, China;
d Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China

Received:2013-07-07 Revised:2013-09-24 Online:2014-04-15 Published:2014-04-15
Contact: Guo Ling E-mail:gling0826@126.com
About author:05.45.Gg; 05.45.Jn; 05.45.Pq
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61075065, 60774045, and U1134108), the Talent Introduction Scientific Research Foundation of Northwest University for Nationalities (Grant No. xbmuyjrc201304), and the Foundation for Young Talents of Gansu Province, China (Grant No. 1208RJYA013).

摘要/Abstract

摘要： The cluster synchronization problem of complex dynamical networks with each node being a Lurie system with external disturbances and time-varying delay is investigated in this paper. Some criteria for cluster synchronization with desired H_∞ performance are presented by using a local linear control scheme. Firstly, sufficient conditions are established to realize cluster synchronization of the Lurie dynamical networks without time delay. Then, the notion of the cluster synchronized region is introduced, and some conditions guaranteeing the cluster synchronized region and unbounded cluster synchronized region are derived. Furthermore, the cluster synchronization and cluster synchronized region in the Lurie dynamical networks with time-varying delay are considered. Numerical examples are finally provided to verify and illustrate the theoretical results.

关键词: cluster synchronization, Lurie dynamics network, H_∞ performance, time-varying delay

Abstract: The cluster synchronization problem of complex dynamical networks with each node being a Lurie system with external disturbances and time-varying delay is investigated in this paper. Some criteria for cluster synchronization with desired H_∞ performance are presented by using a local linear control scheme. Firstly, sufficient conditions are established to realize cluster synchronization of the Lurie dynamical networks without time delay. Then, the notion of the cluster synchronized region is introduced, and some conditions guaranteeing the cluster synchronized region and unbounded cluster synchronized region are derived. Furthermore, the cluster synchronization and cluster synchronized region in the Lurie dynamical networks with time-varying delay are considered. Numerical examples are finally provided to verify and illustrate the theoretical results.

Key words: cluster synchronization, Lurie dynamics network, H_∞ performance, time-varying delay

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

05.45.Gg

05.45.Jn (High-dimensional chaos) 05.45.Pq (Numerical simulations of chaotic systems)

郭凌, 年晓红, 潘欢, 邴志桐. Robust H_∞ cluster synchronization analysis of Lurie dynamical networks[J]. 中国物理B, 2014, 23(4): 40501-040501.

Guo Ling (郭凌), Nian Xiao-Hong (年晓红), Pan Huan (潘欢), Bing Zhi-Tong (邴志桐). Robust H_∞ cluster synchronization analysis of Lurie dynamical networks[J]. Chin. Phys. B, 2014, 23(4): 40501-040501.

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Robust H_∞ cluster synchronization analysis of Lurie dynamical networks

Robust H_∞ cluster synchronization analysis of Lurie dynamical networks

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