An algorithm to compute invariant sets for third-order switched systems

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• 作者：J.B. Garcí ; a-Gutié ; rrez ; ^{juanbosco.garciagutierrez@alum.uca.es} ; F. Bení ; tez-Trujillo ; C. Pé ; rez
• 关键词：Invariant set ; Switched linear systems ; Third-order system
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：July 2017
• 年：2017
• 卷：318
• 期：Complete
• 页码：348-353
• 全文大小：464 K
• 卷排序：318

文摘

We study invariant sets for switched systems. We focus on a class of third-order switched systems. In this class of switched systems we solve the problem of finding an invariant set for a switching law. For each switched system we provide the invariant set and the switching law, in addition, the invariant set is a polyhedral cone and the switching law is switching on the boundary. To accomplish this we reduce the problem to a simplified system. We provide a procedure calculating the invariant set. The method is based on calculating an invariant set for a simplified system and then transformating the invariant set to the original system. We illustrate this method with an example.