Networked Synchronization Control of Coupled Dynamic Networks With Time-Varying Delay

• Published in: IEEE transactions on systems, man and cybernetics. Part B, Cybernetics Vol. 40; no. 6; pp. 1468 - 1479
• Main Authors: Wang, Yingchun, Zhang, Huaguang, Wang, Xingyuan, Yang, Dongsheng
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.12.2010
• Subjects: Algorithms; Communication system control; Computer Simulation; Control systems; Coupled dynamic networks (CDNs); Delay; Delay effects; Dropouts; Dynamical systems; Dynamics; Feedback; Information science; Intervals; Kronecker product; Linear matrix inequalities; Markovian jump; Models, Theoretical; Networked control systems; networked synchronization control; Networks; Neural networks; Neural Networks (Computer); Nonlinear Dynamics; Signal Processing, Computer-Assisted; Stochastic processes; Sufficient conditions; Synchronism; Synchronization; Time varying systems; time-varying delay
• ISSN: 1083-4419; 1941-0492
• DOI: 10.1109/TSMCB.2010.2040273

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.