Stability of limit cycles in hybrid systems
Stability of limit cycles in hybrid systems
复制标题
混合系统中极限环的稳定性
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
I. A. Hiskens
中科院分区：
文献类型：
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作者：
I. A. Hiskens
极限环在混杂系统中很常见。然而，这种系统的非光滑动态使得稳定性分析困难。本文利用轨迹灵敏度分析的最新扩展，得到了非光滑极限环的特征乘子。极限环的稳定性由其特征乘子决定。使用具有开/关阀切换的耦合罐系统来说明这些概念。
Limit cycles are common in hybrid systems. However the nonsmooth dynamics of such systems makes stability analysis difficult. This paper uses recent extensions of trajectory sensitivity analysis to obtain the characteristic multipliers of nonsmooth limit cycles. The stability of a limit cycle is determined by its characteristic multipliers. The concepts are illustrated using a coupled tank system with on/off valve switching.