Wang Yingchun, Zhang Huaguang, Wang Xingyuan, Yang Dongsheng
School of Information Science and Engineering and the Key Laboratory of Integrated Automationof Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, China.
IEEE Trans Syst Man Cybern B Cybern. 2010 Dec;40(6):1468-79. doi: 10.1109/TSMCB.2010.2040273. Epub 2010 Mar 1.
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.
本文研究具有时变延迟的耦合动态网络（CDNs）的网络同步控制问题。首先，在同步控制器设计中考虑了数据包丢失和网络诱导延迟。引入一个马尔可夫跳跃过程来描述数据包丢失。网络诱导延迟是区间时变的，并且依赖于马尔可夫跳跃模式。构建了一个具有马尔可夫跳跃参数和区间时变延迟的新型闭环耦合动态误差系统（CDES）。其次，利用克罗内克积技术和随机李雅普诺夫方法，为闭环CDES获得了一个依赖延迟的随机稳定性充分准则，该准则也保证了CDNs的随机同步。最后，给出一个仿真例子来证明所提结果的有效性。
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