Practical Stability in Terms of Two Measures for Hybrid Dynamic Systems

Shurong Sun; Zhenlai Han; Elvan Akin-Bohner; Ping Zhao

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This paper deals with stability analysis of hybrid systems. Various stability concepts related to hybrid systems are introduced. The paper advocates a local analysis. It involves the equivalence relation generated by reset maps of a hybrid system. To establish a tangible method for stability analysis, we introduce the notion of a chart, which locally reduces the complexity of the hybrid system. In a chart, a hybrid system is particularly simple and can be analyzed with the use of methods...