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CMMSE: An approach to the stability of Reset Switched Systems using a dynamics without reset
  • Ana C. Carapito,
  • I. Brás,
  • Paula Rocha
Ana C. Carapito
Universidade da Beira Interior Centro de Matematica e Aplicacoes

Corresponding Author:[email protected]

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I. Brás
Universidade de Aveiro Departamento de Matematica
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Paula Rocha
Universidade do Porto Faculdade de Engenharia
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In this paper, we consider switched systems that allow discontinuous jumps in the state when switching occurs. In particular we analyze the case where these jumps are dictated by a state reset rule. We show that it is possible to study the state trajectories of a switched system with state reset by means of some switched systems without state resets, i.e., with continuous state trajectories. We establish some sufficient conditions for stability of switched systems with state reset using the associated systems without reset. The obtained results are used in numerical examples to show the effectiveness of the proposed approach.
30 Sep 2022Submitted to Mathematical Methods in the Applied Sciences
30 Sep 2022Submission Checks Completed
30 Sep 2022Assigned to Editor
10 Oct 2022Review(s) Completed, Editorial Evaluation Pending
10 Oct 2022Editorial Decision: Revise Major
11 Jan 20231st Revision Received
12 Jan 2023Submission Checks Completed
12 Jan 2023Assigned to Editor
12 Jan 2023Review(s) Completed, Editorial Evaluation Pending
15 Jan 2023Reviewer(s) Assigned
20 Mar 2023Editorial Decision: Revise Major
17 Apr 20232nd Revision Received
24 Apr 2023Submission Checks Completed
24 Apr 2023Assigned to Editor
24 Apr 2023Review(s) Completed, Editorial Evaluation Pending
12 May 2023Reviewer(s) Assigned
26 May 2023Editorial Decision: Revise Major
30 May 20233rd Revision Received
02 Jun 2023Submission Checks Completed
02 Jun 2023Assigned to Editor
02 Jun 2023Review(s) Completed, Editorial Evaluation Pending
07 Jun 2023Editorial Decision: Accept