Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/40099
Title: | An approach to the stability of reset switched systems using dynamics without reset |
Author: | Carapito, Ana C. Brás, Isabel Rocha, Paula |
Keywords: | Lyapunov Theory State reset Switched system Stability |
Issue Date: | 15-Nov-2023 |
Publisher: | Wiley |
Abstract: | 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, i.e., 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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/40099 |
DOI: | 10.1002/mma.9483 |
ISSN: | 0170-4214 |
Publisher Version: | https://onlinelibrary.wiley.com/doi/10.1002/mma.9483 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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MMA-22-26638.R2.pdf | 210.92 kB | Adobe PDF | View/Open |
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