Alternative necessary and sufficient conditions for absolute exponential stability are presented, for switched discrete–time linear systems. To reach these results, we exploit concepts from set theory and in specific the forward reachability set mappings. The developed theorem can be utilized to construct iterative numerical procedures for verifying stability. Two examples illustrate the effectiveness of the proposed methodology.
|Title of host publication||Proceedings of the 19th IFAC World Congress|
|Number of pages||6|
|Publication status||Published - 2014|
|Name||IFAC Proceedings Volumes|