Networked synchronization control of coupled dynamic networks with time-varying delay

Authors:
Yingchun Wang;Huaguang Zhang;Xingyuan Wang;Dongsheng Yang
Affiliations:
School of Information Science and Engineering and the Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang, China;School of Information Science and Engineering and the Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang, China;School of Electronic and Information Engineering, Dalian University of Technology, Dalian, China;School of Information Science and Engineering and the Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang, China
Venue:
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Year:
2010

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Abstract

This paper is concerned with the networked synchronization control problem of coupled dynamic networks (CDNs) with time-varying delay. First, both the data packet dropouts and network-induced delays are taken into account in the synchronization controller design. A Markovian jump process is induced to describe the packet dropouts. The network-induced delays are interval time varying and depend on the Markovian jump modes. A new closed-loop coupled dynamic error system (CDES) with Markovian jump parameters and interval time-varying delays is constructed. Second, using the Kronecker product technique and the stochastic Lyapunov method, a delay-dependent sufficient criterion of stochastic stability is obtained for the closed-loop CDES, which also guarantees that the CDNs are stochastically synchronized. Finally, a simulation example is given to demonstrate the effectiveness of the proposed result.