混合非线性系统引力域的计算

F. Hamidi, M. Abdelkrim
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引用次数: 0

摘要

本文讨论了非线性混合系统引力域(DA)的扩大问题。LMI与遗传算法的结合使数据分析得到了充分的扩展。通过遗传算法估计一个常见的Lyapunov函数,并通过LMI优化计算下界。该方法通过一个切换范德浦系统得到了验证。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Computing the domain of attraction for hybrid nonlinear system
In this paper we discuss the enlargement of the Domain of Attraction (DA) of nonlinear hybrid system. Combination of LMI with Genetic Algorithms (GA) results in a sufficient enlargement of DA. A common Lyapunov function is estimated by the GA and a lower bound is computed by LMI optimization. The proposed approach is validated by a switched van der Pool system.
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