Abstract
Hybrid systems which are capable of exhibiting simultaneously several kinds of dynamic behavior in different parts of a system are drawing tremendous attention. The paper is devoted to one of the most challenging issues in, the arena of hybrid systems-the stability analysis of hybrid systems. Despite the variety and significance of the many results on hybrid system stability, general necessary and sufficient conditions in terms of the structure of the vector fields have evaded discovery. The paper addresses the issue of structural stability results of a class of hybrid systems-the switched linear system-and provides sufficient and non-conservative results for stability of such systems. A dual result, which provides the necessary condition for stability of such systems is also provided.
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