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Paper details
Number 2 - June 2014
Volume 24 - 2014
Local analysis of hybrid systems on polyhedral sets with state-dependent switching
John Leth, Rafael Wisniewski
Abstract
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
borrowed from the theory of differential inclusions. Thus, the main contribution of this paper is to show how stability of a
hybrid system can be reduced to a specialization of the well established stability theory of differential inclusions. A number
of examples illustrate the concepts introduced in the paper.
Keywords
stability, switched systems, hybrid systems, differential inclusions