时滞线性随机系统的均方稳定性与反馈镇定  

Mean-Square Stability and Feedback Stabilization of Linear delay Stochastic Systems

作　　者：邓飞其[1] 冯昭枢[1] 刘永清[1] 

机构地区：[1]华南理大学自动化系

出　　处：《控制理论与应用》1996年第4期441-447,共7页Control Theory & Applications

基　　金：国家自然科学基金;霍英东高校青年教师基金;广东省自然科学基金

摘　　要：本文研究Ｉｔｏ型随机滞后系统的均方稳定性与反馈镇定．文中首先建立了Ｉｔｏ型随机滞后系统的新型稳定性定理，然后采用适当的Ｌｙａｐｕｎｏｖ泛函得到了时滞线性随机系统零解均方渐近稳定的一个充分性判据，该判据适用于完全滞后型的随机系统，据此判据，文中给出了时滞线性随机系统的滞后反馈镇定方法．In this paper, mean-square stability and feedback stabilization of delay stochastic systems of Ito type are investigated. A new type stability theorem for delay stochastic systems of ito type is established, then a sufficient criterion for mean-square asymptotic stability of zero solutions of linear delay stochastic systems is obtained by applying suitable Lyapunov functionals, which is applicable for completely retarded stochastic systems. A method of stabilization by retarded feedbacks for linear delay stochastic systems is proposed based on this criterion

关 键 词：时滞 线性随机系统 均方稳定性 反馈镇定 

分 类 号：TP271.74[自动化与计算机技术—检测技术与自动化装置]