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arXiv · 2204.07628

On annular short-time stability conditions for generalized Persidskii systems

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.

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Wenjie Mei, Denis Efimov, Rosane Ushirobira. 2022-04-15. On annular short-time stability conditions for generalized Persidskii systems. https://arxiv.org/abs/2204.07628

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