带有时滞的非线性随机差分系统的均方指数稳定性
Mean square exponential stability of nonlinear random difference system with time delays
李必文 1熊小影1
作者信息
- 1. 湖北师范大学 数学与统计学院,湖北 黄石 435002
- 折叠
摘要
针对具有时变时滞的非线性随机差分系统,通过非负矩阵的比较原理和谱性质,提出了解的均方指数稳定性的判别准则和时滞无关的稳定性判据、时滞相关的稳定性判据,讨论并举例说明了理论结果的有效性.
Abstract
Using the nonlinear stochastic difference systems with time-varying delays as the study object,this paper presented the criterion to judge mean square exponential stability and delay-independent and delay-dependent stability based on the comparison principle and spectral property of nonnegative matrices.The result shows that the theoretical results are valid.
关键词
非线性随机差分系统/指数稳定性/时变延迟Key words
nonlinear stochastic difference system/exponential stability/time-varying delays引用本文复制引用
出版年
2024
NETL
NSTL
万方数据