摘要
研究具有时滞项的不确定随机系统的指数稳定性。运用It微分公式沿系统对构造的Lyapunov泛函进行微分,得到了用线性矩阵不等式表示的有关不确定随机时滞系统均方指数稳定的一个充分判据。此判据为非时滞依赖型,可以较好地运用到不易取得时滞信息的系统中。
This paper is concerned with the exponential stability ot uncertain stochastic systems with time delays. By means of Itoe differential formula and Lyapunov functions, the author establishes sufficient conditions of exponential stability of uncertain stochastic systems with time delays. The delay-independent sufficient condition is derived in terms of linear matrix inequality.
出处
《武汉科技大学学报》
CAS
2006年第5期520-523,共4页
Journal of Wuhan University of Science and Technology
关键词
随机系统
时滞
指数稳定
线性矩阵不等式
stochastic system
time-varying delays
exponential stability
linear matrix inequality