Results on convergence in hybrid systems via detectability and an invariance principle
Results on convergence in hybrid systems via detectability and an invariance principle
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DOI：
10.1109/acc.2005.1470014
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发表时间：
2005-06
期刊：
影响因子：
--
通讯作者：
R. Sanfelice;R. Goebel;A. Teel
中科院分区：
文献类型：
--
作者：
R. Sanfelice;R. Goebel;A. Teel
提出了广义混杂系统的两个不变性原理。一个版本涉及使用非增函数，如拉萨尔的原始工作。另一个版本涉及“贫乏”条件。这些原则的特点渐近收敛的有界混合轨迹弱不变集。可检测性属性用于定位包含轨迹的Q极限集合的集合。接下来，它是如何的不变性原则可以用来证明渐近稳定的混合系统。混合系统的李雅普诺夫和Krasovskii定理。
Two invariance principles for generalized hybrid systems are presented. One version involves the use of a nonincreasing function, like in the original work of LaSalle. The other version involves "meagreness" conditions. These principles characterize asymptotic convergence of bounded hybrid trajectories to weakly invariant sets. A detectability property is used to locate a set in which the Q-limit set of a trajectory is contained. Next, it is shown how the invariance principles can be used to certify asymptotic stability in hybrid systems. Lyapunov and Krasovskii theorems for hybrid systems are included.