随机扰动下时滞复杂动力网络的一致性  

Consistency of a complex delayed dynamical network with stochastic disturbance

作　　者：柯超[1] 王志明[1] 涂俐兰[1] 

机构地区：[1]冶金工业过程系统科学湖北省重点实验室,武汉科技大学,武汉430081

出　　处：《物理学报》2013年第1期78-87,共10页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:60904060);冶金工业过程系统科学湖北省重点实验室开放基金(批准号:C201010)资助的课题~~

摘　　要：研究了随机扰动下一般时滞复杂动力网络的一致性问题,此复杂动力网络不仅具有随机扰动而且时变时滞同时出现在耦合项和节点系统中,所以这样的网络更具有一般性.基于随机Lyapunov稳定性理论、线性反馈控制理论和线性矩阵不等式,从理论上提出了此网络各个节点与孤立系统达到时滞无关和时滞相关一致性的充分条件.最后的数值模拟验证了理论结果的正确性和有效性.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.

关 键 词：随机扰动 时滞复杂动力网络 一致性 线性反馈控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]