Displaying similar documents to “Hyperbolicity, stability, and the criterion of homoclinic points.”

Local analysis of hybrid systems on polyhedral sets with state-dependent switching

John Leth, Rafael Wisniewski (2014)

International Journal of Applied Mathematics and Computer Science


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...