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Consistency of a complex delayed dynamical network with stochastic disturbance

Ke Chao Wang Zhi-Ming Tu Li-Lan

Consistency of a complex delayed dynamical network with stochastic disturbance

Ke Chao, Wang Zhi-Ming, Tu Li-Lan
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Publishing process
  • Received Date:  02 June 2012
  • Accepted Date:  18 July 2012
  • Published Online:  05 January 2013

Consistency of a complex delayed dynamical network with stochastic disturbance

  • 1. Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430081, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 60904060) and the Open Foundation of Hubei Province Key Laboratory of Systems Science in Metallurgical Process, China (Grant No. C201010).

Abstract: This paper focuses on the consistency problem of a complex delayed dynamical network with stochastic disturbance. The complex network under consideration includes not only stochastic disturbance but also the varying time-delay which appear in the coupling term and the node system simultaneously. Therefore, such a network is more general. Based on the stochastic Lyapunov stability theory, linear feedback control and linear matrix inequality, some new asymptotic consistency sufficient conditions are established which guarantee the consistency for the nodes of this network and an isolated system in the delay-independent and delay-dependent levels. Finally illustrative simulation is provided to verify the correctness and effectiveness of the proposed scheme.

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