| 一类时滞非线性动力系统的全局指数稳定性 |
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| 引用本文： | 文海霞.一类时滞非线性动力系统的全局指数稳定性[J].科学技术与工程,2009,9(2). |
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| 作者姓名： | 文海霞 |
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| 作者单位： | 长沙理工大学土木与建筑学院,长沙,410114 |
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| 摘 要： | 研究一类具有时滞的非线性动力系统的全局指数稳定性.在时间滞后连续且有界的条件下,通过分析具有时间滞后的微分不等式的稳定性,构造适当的向量李雅普诺夫函数和利用M-矩阵的性质,得到了该类动力系统全局指数稳定的一个充分条件.
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| 关 键 词： | 时间滞后 动力系统 全局指数稳定性 向量李雅普诺夫函数 |
Global Exponential Stability of a Class of Nonlinear Dynamical Systems with Time Delays |
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| WEN Hai-xia.Global Exponential Stability of a Class of Nonlinear Dynamical Systems with Time Delays[J].Science Technology and Engineering,2009,9(2). |
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| Authors: | WEN Hai-xia |
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| Institution: | School of Civil Engineering and Architecture;Changsha University of Science and Technology;Changsha 410114;P.R.China |
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| Abstract: | The global exponential stability of a class of nonlinear dynamical systems with time delays was analyzed by constructing a vector Lyapunov function and using the properties of M-matrix.A sufficient condition is obtained for global exponential stability of the system by analyzing the stability of differential inequalities with time delays under the assumption that the time delays are bounded and continuous. |
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| Keywords: | time delays dynamical systems global exponential stability vector Lyapunov function |
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