中国物理B ›› 2013, Vol. 22 ›› Issue (10): 100503-100503.doi: 10.1088/1674-1056/22/10/100503

• GENERAL • 上一篇    下一篇

Synchronization for complex dynamical Lurie networks

张晓娇a b, 崔宝同a b   

  1. a Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, China;
    b School of IoT Engineering, Jiangnan University, Wuxi 214122, China
  • 收稿日期:2012-10-31 修回日期:2013-03-20 出版日期:2013-08-30 发布日期:2013-08-30
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61174021 and 61104155), the Fundamental Research Funds for the Central Universities (Grant No. JUDCF12033), the Jiangsu Innovation Program for Graduates (Grant No. CXZZ12_0742), the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD), the Fundamental Research Funds for the Central Universities (Grant No. JUSRP51322B), and the 111 Project (Grant No. B12018).

Synchronization for complex dynamical Lurie networks

Zhang Xiao-Jiao (张晓娇)a b, Cui Bao-Tong (崔宝同)a b   

  1. a Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, China;
    b School of IoT Engineering, Jiangnan University, Wuxi 214122, China
  • Received:2012-10-31 Revised:2013-03-20 Online:2013-08-30 Published:2013-08-30
  • Contact: Zhang Xiao-Jiao E-mail:xiaojiao-abc@hotmail.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61174021 and 61104155), the Fundamental Research Funds for the Central Universities (Grant No. JUDCF12033), the Jiangsu Innovation Program for Graduates (Grant No. CXZZ12_0742), the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD), the Fundamental Research Funds for the Central Universities (Grant No. JUSRP51322B), and the 111 Project (Grant No. B12018).

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摘要： This paper investigates the synchronization problem for two different complex dynamical Lurie networks. The first one is with constant coupling and the second one is with constant coupling and discrete-delay coupling. Based on contraction theory and matrix measure properties, some new delay-independent synchronization conditions depending on coupling strength and network topology are proposed. Finally, simulation results are presented to support the theoretical results.

关键词: contraction theory, virtual system, partial contraction, uniformly negative definite, hybrid coupling

Abstract: This paper investigates the synchronization problem for two different complex dynamical Lurie networks. The first one is with constant coupling and the second one is with constant coupling and discrete-delay coupling. Based on contraction theory and matrix measure properties, some new delay-independent synchronization conditions depending on coupling strength and network topology are proposed. Finally, simulation results are presented to support the theoretical results.

Key words: contraction theory, virtual system, partial contraction, uniformly negative definite, hybrid coupling

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

  • 05.45.Gg
05.45.Jn (High-dimensional chaos) 05.45.Xt (Synchronization; coupled oscillators)