Yet Another Computation-Oriented Necessary and Sufficient Condition for Stabilizability of Switched Linear Systems

• 成果类型: Article
• 署名作者: Fiacchini, Mirko
• 署名单位: Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3103872
• 发表日期: 2022
• 页码: 3627-3632
• 关键词: Switches; Switched systems; Linear systems; CONVERGENCE; stability analysis; Heuristic algorithms; Partitioning algorithms; convex analysis; stabilizability; switched linear systems

摘要

This article presents a computational method to test the stabilizability of discrete-time switched linear systems. The existence of a conic cover of the space on whose elements a convex condition holds is proved to be necessary and sufficient for stabilizability. An algorithm for computing a conic partition that satisfies the new necessary and sufficient condition is given. The algorithm, which allows us to determine bounds on the exponential convergence rate, is proved to overcome the conservatism of conditions equivalent to periodic stabilizability and is applied to a 4-D system.