Decentralized adaptive synchronization of an uncertain complex delayed dynamical network  

作　　者：Georgi M. DIMIROVSKI 

机构地区：[1]Department of Computer Engineering, Dogus University

出　　处：《控制理论与应用（英文版）》2009年第3期225-230,共6页

基　　金：supported by the National Natural Science Foundation of China (No.60574013, 60874024);the Australian Research Council,and Dogus University Fund for Science

摘　　要：In this paper, we investigate the locally and globally adaptive synchronization problem for an uncertain complex dynamical network with time-varying coupling delays based on the decentralized control. The coupling terms here are bounded by high-order polynomials with known gains that are ubiquitous in a large class of complex dynamical networks. We generalize the usual technology of searching for an appropriate coordinates transformation to change the network dynamics into a series of decoupled lower-dimensional systems. Several adaptive synchronization criteria are derived by constructing the Lyapunov-Krasovskii functional and Barbalat lemma, and the proposed criteria are simple in form and convenient for the practical engineering design. Numerical simulations illustrated by a nearest-neighbor coupling network verify the effectiveness of the proposed synchronization scheme.In this paper, we investigate the locally and globally adaptive synchronization problem for an uncertain complex dynamical network with time-varying coupling delays based on the decentralized control. The coupling terms here are bounded by high-order polynomials with known gains that are ubiquitous in a large class of complex dynamical networks. We generalize the usual technology of searching for an appropriate coordinates transformation to change the network dynamics into a series of decoupled lower-dimensional systems. Several adaptive synchronization criteria are derived by constructing the Lyapunov-Krasovskii functional and Barbalat lemma, and the proposed criteria are simple in form and convenient for the practical engineering design. Numerical simulations illustrated by a nearest-neighbor coupling network verify the effectiveness of the proposed synchronization scheme.

关 键 词：Complex dynamical networks SYNCHRONIZATION Adaptive control Decentralized control 

分 类 号：N941.3[自然科学总论—系统科学]