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一类时滞非线性动力系统的全局指数稳定性 被引量:2

Global Exponential Stability of a Class of Nonlinear Dynamical Systems with Time Delays
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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。 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.
作者 文海霞
出处 《科学技术与工程》 2009年第2期430-432,440,共4页 Science Technology and Engineering
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 time delays dynamical systems global exponential stability vector Lyapunov function
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同被引文献19

  • 1杨芳,刘万霞.非线性二阶时滞微分方程的有界性[J].内蒙古财经学院学报(综合版),2005,3(1):97-98. 被引量:1
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