Uniform exponential stabilization of nonlinear systems in Banach spaces

descriptionPublicationkeyboard_double_arrow_right Article 28 Apr 2020 English Publisher:WileyJournal:Mathematical Methods in the Applied Sciences, volume 43, pages 7,311-7,325 (issn: 0170-4214, eissn: 1099-1476,

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Authors: Mohamed Ouzahra;

doi: 10.1002/mma.6468

Uniform exponential stabilization of nonlinear systems in Banach spaces

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Abstract

This paper presents necessary and sufficient conditions for uniform exponential stabilization of a class of nonlinear systems in Banach state spaces. The stabilization assumptions are formulated in terms of integral estimates involving the control operator and the state of the uncontrolled version of the system at hand. An explicit estimate of the convergence speed is given. Applications to feedback stabilization of affine control systems are given. Illustrative examples are further provided.

Related Organizations

Mohammed V University
Morocco
SIDI
Italy
Sidi Mohamed Ben Abdellah University
Morocco

Keywords

Stabilization of systems by feedback, Nonlinear systems in control theory, Control/observation systems in abstract spaces, exponential stabilizability, nonlinear systems, Exponential stability, affine control systems, duality mapping

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