An approach to the stability of reset switched systems using dynamics without reset

• Type: Article in International Scientific Journal
• Date: 2023

Authors

Carapito, AC (Author) Other; Bras, I (Author) Other; Rocha, P (Author) FEUP

Journal

Title: Mathematical Methods in the Applied Sciences

ISSN: 0170-4214

Publisher: Wiley-Blackwell

Indexing

ISI Web of Knowledge - 0 Citations

Scopus

Other information

Authenticus ID: P-00Y-HKQ

DOI: 10.1002/mma.9483

Abstract (EN): In this paper, we consider switched linear systems that have jumps in the state (determined by a reset rule) at each switching instant. Those systems are called switched systems with state reset. We show that it is possible to analyze the state trajectories of a switched system with state reset by considering suitable switched systems without state resets, that is, with continuous state trajectories. We establish sufficient conditions for the stability of switched systems with state reset using the associated systems without reset. Moreover, introducing some restrictions, we also derive simple algebraic stability conditions. The obtained results are used in numerical examples to show the effectiveness of the proposed approach.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9