Exponential stability of nonlinear dynamic systems with delay

Hua Yang, Jianguo Liu, Feng Jiang
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Abstract

Stability plays an important role in the practice. In this paper, exponential stability of nonlinear dynamic systems with delay is discussed. Some conditions which guarantee exponential stability of the nonlinear dynamic systems are given by by Hurwitz matrix theory. Finally, an example is given to illustrate the theoretical result.
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时滞非线性动态系统的指数稳定性
稳定在实践中起着重要的作用。讨论了一类具有时滞的非线性动态系统的指数稳定性问题。利用赫维茨矩阵理论给出了非线性动力系统指数稳定的若干保证条件。最后,给出了一个算例来说明理论结果。
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