| 非线性滞后It(?)随机系统的滞后无关均方渐近稳定性 |
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| 引用本文： | 冯昭枢,邓飞其,刘永清.非线性滞后It(?)随机系统的滞后无关均方渐近稳定性[J].控制与决策,1997(4). |
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| 作者姓名： | 冯昭枢 邓飞其 刘永清 |
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| 作者单位： | 华南理工大学自动控制工程系!广州510641 |
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| 基金项目： | 国家自然科学基金，广东省自然科学基金资助项目 |
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| 摘 要： | 研究非线性滞后Ito随机系统的滞后无关均方渐近稳定性,将关于线性时滞不等式的Halanay不等式推广到非线性情形,用Lyapunov函数和关于时滞随机系统的比较原理,得到了非线性滞后Ito随机系统滞后无关均方渐近稳定性的一些判据。
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| 关 键 词： | 滞后系统 随机系统 非线性系统 微分不等式 均方稳定性 |
Mean -square Asymptotic Stability Independent of Delay of Nonlinear Delay Ito Stochastic Systems |
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| Feng Zhaoshu,Deng Feiqi,Liu Yongqing.Mean -square Asymptotic Stability Independent of Delay of Nonlinear Delay Ito Stochastic Systems[J].Control and Decision,1997(4). |
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| Authors: | Feng Zhaoshu Deng Feiqi Liu Yongqing |
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| Affiliation: | South China University of Technology |
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| Abstract: | This paper is devoted to the investigation of mean -square asymptotic stability independent of de-lay of nonlinear delay Ito stochastic systems. The Halanay's inequality for the linear delay inequalities is gen-eralized to the nonlinear case and a criterion for the mean -square asymptotic stability independent of delay of nonlinear delay Ito stochastic systems is obtained by means of a Lyapunov function and the comparison princi-ple of solutions of delay stochastic systems. |
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| Keywords: | delay systems stochastic systems nonlinear systems differential inequalities mean -square stability |
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