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Electrical Engineering and Systems Science > Systems and Control

arXiv:2204.07628 (eess)
[Submitted on 15 Apr 2022 (v1), last revised 17 Aug 2023 (this version, v3)]

Title:On annular short-time stability conditions for generalized Persidskii systems

Authors:Wenjie Mei, Denis Efimov, Rosane Ushirobira
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Abstract:This paper studies the trajectory behavior evaluation for generalized Persidskii systems with an essentially bounded input on a finite time interval. Also, the notions of annular settling and output annular settling for general nonlinear systems are introduced. We propose conditions for annular short-time stability, short-time boundedness with a nonzero initial state, annular settling, and output annular settling for a class of Persidskii systems. These conditions are based on the verification of linear matrix inequalities. An application to recurrent neural networks illustrates the usefulness of the proposed notions and conditions.
Subjects: Systems and Control (eess.SY); Dynamical Systems (math.DS)
Cite as: arXiv:2204.07628 [eess.SY]
  (or arXiv:2204.07628v3 [eess.SY] for this version)
  https://doi.org/10.48550/arXiv.2204.07628

Submission history

From: Wenjie Mei [view email]
[v1] Fri, 15 Apr 2022 19:41:43 UTC (458 KB)
[v2] Mon, 31 Oct 2022 23:52:53 UTC (88 KB)
[v3] Thu, 17 Aug 2023 13:45:33 UTC (158 KB)
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