一类时延马氏跳跃线性系统在多业务网络中的控制问题研究  

The stability control for a class of networked Markovian jump linear systems with time-varying delays

作　　者：刘义[1] 康宇[1] 何恩宇[1] 王俊[2] 

机构地区：[1]中国科学技术大学自动化系,安徽合肥230027 [2]合肥学院电子信息与电气工程系,安徽合肥230026

出　　处：《中国科学技术大学学报》2011年第2期142-148,共7页JUSTC

基　　金：国家自然科学基金(60704007;60935001);安徽自然科学基金(11040606M143);中央高校基本科研业务费专项资金资助

摘　　要：研究了一类时延马氏跳跃线性系统(MJLS)在多业务网络中的随机稳定控制问题.通过对多业务网络中时延和丢包现象的分析,给出了跳跃系统在多业务网络中运行的闭环模型.采用随机Lyapunov-Krasovskii稳定性方法,并通过线性矩阵不等式(LMIs)形式给出了状态反馈控制下闭环系统随机稳定的充分条件.最后通过仿真算例验证所提结论的有效性.A class of Markovian jump linear systems with time-varying delays in the stochastic stability control under networked control was studied. The networked closed-loop system model for the Markovian jump linear systems under state feedback control was given considering both the network-induced delay and packet drop. Then, the stochastic stability problem of the networked Markovian jump linear systems was analyzed via stochastic Lyapunov-Krasovskii stability theory, and the sufficient conditions for the stochastic stability of the closed-loop system were proposed in the form of Linear Matrices Inequalities （LMIs）. A numerical example was given to show the validity of the result.

关 键 词：马氏跳跃线性系统 时变时延 多业务网络运营系统 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]