摘要
在引进随机线性系统截断Cauchy矩阵概念的基础上 ,应用矩阵分析的方法讨论了该类系统关于部分变元的几乎必然稳定性 (a.s.稳定性 ) ,得到了只依赖于截断Cauchy矩阵有界性或渐近性的系统各种a.s.稳定的等价条件及系统某些不同稳定性之间的等价关系 .
Interceptive Cauchy matrices of stochastic linear systems were introduced. Based on the matrices, almost sure stability (a.s. stability) with respect to partial variables of the systems was studied by using matrix analysis methods. Some equivalent criteria for different kinds of a. s. stabilities of the systems were obtained which only depend on the bounded or asymptotic properties of the interceptive Cauchy matrices, and some equivalent relationships among some different kinds of concepts of stability were also examined. The results are naturally generalized ones of deterministic cases and are of theoretical meaning in the analysis and synthesis of the system.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2002年第8期40-42,共3页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金资助项目 ( 6 0 0 74 0 0 8)
高等学校博士学科点专项基金资助项目 ( 2 0 0 1 0 4 870 0 5 )
关键词
Ito微分方程
CAUCHY矩阵
部分变元稳定性
几乎必然稳定性
充要条件
It stochastic differential equations
Cauchy matrix
stability concerning partial variables
almost sure stability
equivalent conditions
