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一类随机系统的有限时间镇定
Global Finite-time Stability and Stabilization for a Class of Stochastic Systems
【摘要】 讨论随机系统的有限时间镇定问题.首先提出了随机系统有限时间稳定的概念;其次证明了随机系统有限时间稳定的Lyapunov定理;然后,讨论了一类随机系统的镇定问题.
【Abstract】 This note studies the problem of global finite-time stability and stabilization of stochastic nonlinear systems.First finite-time stability in probability is proposed for equilibria of stochastic systems.Second Lyapunov theory is given for finite-time stability.Furthermore the stabilization problem of a class of stochastic nonlinear systems is considered.
【关键词】 有限时间稳定,随机非线性系统;
Lyapunov函数;
驻留时间;
Backstepping;
【Key words】 finite-time stability; stochastic nonlinear system; lyapunov function; settling-time; Backstepping;
【Key words】 finite-time stability; stochastic nonlinear system; lyapunov function; settling-time; Backstepping;
【基金】 河南省自然科学基金(0611056000)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2007年17期
- 【分类号】O231.2
- 【被引频次】5
- 【下载频次】195