Stability of Nonlinear Stochastic Discrete-Time Systems

被引：14
|
作者：
Li, Yan [1 ]
Zhang, Weihai [2 ]
Liu, Xikui [1 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266590, Shandong, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Informat & Elect Engn, Qingdao 266590, Shandong, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2013年
关键词：
D O I：
10.1155/2013/356746
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the stability for nonlinear stochastic discrete-time systems. First of all, several definitions on stability are introduced, such as stability, asymptotical stability, and pth moment exponential stability. Moreover, using the method of the Lyapunov functionals, some efficient criteria for stochastic stability are obtained. Some examples are presented to illustrate the effectiveness of the proposed theoretical results.
引用
收藏
页数：8
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