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Journal Articles International Journal of Control Year : 2023

On annular short-time stability conditions for generalized Persidskii systems

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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hal-04189087 , version 1 (28-08-2023)

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  • HAL Id : hal-04189087 , version 1

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Wenjie Mei, Denis Efimov, Rosane Ushirobira. On annular short-time stability conditions for generalized Persidskii systems. International Journal of Control, inPress. ⟨hal-04189087⟩
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