【作者】 许莉娟； 张天平； 裔扬； 鲁瑶；

【Author】 XU Li-juan,ZHANG Tian-ping,YI Yang,LU Yao (College of Information Engineering,Yangzhou University,Yangzhou 225009,China)

【机构】 扬州大学 信息工程学院；

【摘要】 讨论一类具有Markov跳变参数的It(?)-type不确定随机时变时滞系统的均方指数稳定性及H_∞控制问题。利用线性矩阵不等式给出系统以干扰衰减指数γ衰减的均方指数稳定性的充分条件。基于Lyapunov-Krasovskii函数的方法设计无记忆状态反馈控制器,证明了对所有容许的不确定性,闭环系统均方指数稳定并且以干扰衰减指数γ衰减。最后,通过一个数值仿真验证了该方法的有效性。更多还原

【Abstract】 The problem of exponential mean-square stability and H_∞control for a class of uncertain stochastic time-varying delay systems with Markovian jumping parameters were studied.A sufficient condition for the existence of exponentially stability in the mean square andγ-disturbance attenuation property of the closed-loop system were presented by LMI.A memoryless state-feedback controller on Lyapunov-Krasovskii functional approach was designed such that the closed-loop system is exponentially stable in the mean square andγ-disturbance attenuation for all admitted uncertain.Finally,a numerical example was provided to demonstrate the effectiveness of the proposed approach.更多还原