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带有时滞的非线性随机差分系统的均方指数稳定性

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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.
Mean square exponential stability of nonlinear random difference system with time delays
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.

nonlinear stochastic difference systemexponential stabilitytime-varying delays

李必文、熊小影

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湖北师范大学 数学与统计学院,湖北 黄石 435002

非线性随机差分系统 指数稳定性 时变延迟

2024

湖北师范大学学报(自然科学版)
湖北师范学院

湖北师范大学学报(自然科学版)

影响因子:0.376
ISSN:2096-3149
年,卷(期):2024.44(2)
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