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

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.