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

作　　者：李必文 熊小影 LI Biwen;XIONG Xiaoying(School of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China)

机构地区：[1]湖北师范大学数学与统计学院,湖北黄石435002

出　　处：《湖北师范大学学报（自然科学版）》2024年第2期1-6,共6页Journal of Hubei Normal University：Natural Science

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。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 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]