非线性时滞系统的稳定性分析及鲁棒稳定性条件
Stability and Robust Stability for Nonlinear Delayed Systems
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摘要: 研究非线性时滞系统的稳定性.应用Lyapunov函数,分别讨论确定性和不确定性 非线性时滞系统.对于确定性系统,给出其零解渐近稳定的充分条件;对于不确定性系统,给 出其零解鲁棒稳定的充分条件.最后通过两个实例说明所给方法的有效性.
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关键词:
- 非线性时滞系统 /
- 不确定性 /
- Lyapunov函数 /
- 零解渐近稳定
Abstract: The stability of nonlinear systems with delay is studied. Using Lyapunov function, certain and uncertain nonlinear systems with delay are discussed, respectively. For the certain systems, the sufficient conditions for asymptotical stability of zero solution are presented. For the uncertain systems, the sufficient conditions for robust stability of zero solution is presented. The effectiveness of our methods is showed by two examples. -
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