中国物理B ›› 2010, Vol. 19 ›› Issue (8): 80508-080508.doi: 10.1088/1674-1056/19/8/080508

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Robust adaptive synchronization of uncertain and delayed dynamical complex networks with faulty network

杨光红1, 金小峥2   

  1. (1)College of Information Science and Engineering, Northeastern University, Shenyang 110004, China; (2)Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University, Shenyang 110044, China;College of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • 收稿日期:2009-12-15 修回日期:2010-03-18 出版日期:2010-08-15 发布日期:2010-08-15
  • 基金资助:
    Project supported by the Funds for Creative Research Groups of China (Grant No. 60821063), the National Basic Research Program of China (Grant No. 2009CB320604), the National Natural Science Foundation of China (Grant No. 60974043), the 111 Project (Grant No. B08015), and the Science and Technology Research Project of the Educational Department of Liaoning Province of China (Grant No. 2008S156).

Robust adaptive synchronization of uncertain and delayed dynamical complex networks with faulty network

Jin Xiao-Zheng(金小峥)a)b)† and Yang Guang-Hong (杨光红)b)   

  1. a Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University, Shenyang 110044, China; b College of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2009-12-15 Revised:2010-03-18 Online:2010-08-15 Published:2010-08-15
  • Supported by:
    Project supported by the Funds for Creative Research Groups of China (Grant No. 60821063), the National Basic Research Program of China (Grant No. 2009CB320604), the National Natural Science Foundation of China (Grant No. 60974043), the 111 Project (Grant No. B08015), and the Science and Technology Research Project of the Educational Department of Liaoning Province of China (Grant No. 2008S156).

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摘要： This paper presents a new robust adaptive synchronization method for a class of uncertain dynamical complex networks with network failures and coupling time-varying delays. Adaptive schemes are proposed to adjust controller parameters for the faulty network compensations, as well as to estimate the upper and lower bounds of delayed state errors and perturbations to compensate the effects of delay and perturbation on-line without assuming symmetry or irreducibility of networks. It is shown that, through Lyapunov stability theory, distributed adaptive controllers constructed by the adaptive schemes are successful in ensuring the achievement of asymptotic synchronization of networks in the present of faulty and delayed networks, and perturbation inputs. A Chua's circuit network example is finally given to show the effectiveness of the proposed synchronization criteria.

Abstract: This paper presents a new robust adaptive synchronization method for a class of uncertain dynamical complex networks with network failures and coupling time-varying delays. Adaptive schemes are proposed to adjust controller parameters for the faulty network compensations, as well as to estimate the upper and lower bounds of delayed state errors and perturbations to compensate the effects of delay and perturbation on-line without assuming symmetry or irreducibility of networks. It is shown that, through Lyapunov stability theory, distributed adaptive controllers constructed by the adaptive schemes are successful in ensuring the achievement of asymptotic synchronization of networks in the present of faulty and delayed networks, and perturbation inputs. A Chua's circuit network example is finally given to show the effectiveness of the proposed synchronization criteria.

Key words: dynamical complex networks, synchronization, robust adaptive control, faulty network, time-varying delays

中图分类号:  (Circuit theory)

  • 84.30.Bv
89.75.Hc (Networks and genealogical trees)