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一类非线性时变时滞随机大系统的稳定性
引用本文:崔红艳 高存臣. 一类非线性时变时滞随机大系统的稳定性[J]. 南京气象学院学报, 2010, 0(5): 392-395
作者姓名:崔红艳 高存臣
基金项目:国家自然科学基金(60974025);山东省自然科学重点基金(Z2006G11)
摘    要:
讨论了线性时滞随机系统平凡解的几乎必然渐近稳定性&并推广到非线性多时滞随机大系统的几乎必然渐近稳定性''提出了非线性多时滞随机大系统几乎必然渐近稳定性的代数判据''最后&用仿真例子说明了主要结果的可行性与有效性

关 键 词:随机大系统;几乎必然渐近稳定;Lyapunov函数

Stability of a class nonlinear stochastic large-scale system with time-varying delays
CUI hongyan,GAO cunchen. Stability of a class nonlinear stochastic large-scale system with time-varying delays[J]. Journal of Nanjing Institute of Meteorology, 2010, 0(5): 392-395
Authors:CUI hongyan  GAO cunchen
Abstract:
Almost surely asymptotic stability of the trivial solution of linear stochastic system with time-varying delays is discussed,and is extended to the nonlinear stochastic large-scale system with time-varying delays.then,an algebraic criterion of the almost surely asymptotic stability is established for the nonlinear stochastic large-scale system with time-varying delays.the feasibility and effectiveness of the main results are illustrated in this paper by a numerical example
Keywords:stochastic large-scale system  almostsurely asymptotic stability  Lyapunov function
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