| 具有分离变量的非线性随机时滞相关系统的鲁棒稳定 |
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| 引用本文： | 刘碧玉,李美兰,韩旭里. 具有分离变量的非线性随机时滞相关系统的鲁棒稳定[J]. 数学理论与应用, 2008, 28(2): 14-18 |
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| 作者姓名： | 刘碧玉 李美兰 韩旭里 |
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| 作者单位： | 中南大学数学科学与计算技术学院，中南大学数学科学与计算技术学院，中南大学数学科学与计算技术学院 长沙，410083，长沙，410083，长沙，410083 |
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| 基金项目： | This work has been supported by the postdoctoral science foundation of Central South University and foundation of China （20070410990）. |
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| 摘 要： | 本文研究一类具有分离变量的非线性随机不确定系统的稳定性问题。采用线性矩阵不等式（LMI）和Lyapunov—Krasovskii泛函的方法，获得了局部指数稳定性的时滞盯关性判据。仿真结果证明了结论的可行性和优越性。
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| 关 键 词： | 非线性时滞系统 局部指数均方稳定 线性矩阵不等式(LMI) Lyapunov—Krasovskii泛函 |
Robust Delay-Dependent Stability of Nonlinear Stochastic Systems with Separated Variables |
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| Biyu Liu Meilan Li Xuli Han. Robust Delay-Dependent Stability of Nonlinear Stochastic Systems with Separated Variables[J]. Mathematical Theory and Applications, 2008, 28(2): 14-18 |
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| Authors: | Biyu Liu Meilan Li Xuli Han |
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| Affiliation: | (School of Mathematical Science and Computing Technology, Central South University,410083) |
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| Abstract: | Nonlinear and uncertain stochastic delay systems with separated variables are considered in this paper.By using Linear Matrix Inequality (LMI) method and Lyapunov-Krasovskii functional approach,a robust delay-dependent criterion is obtained to ensure locally exponential stability in mean square of the uncertain nonlinear stochastic delay systems. |
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| Keywords: | Nonlinear stochastic delay systems locally exponential stability in mean square LMI |
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