Necessary and sufficient conditions for exponential stabilization of systems affine in controls

2017/10/08 by Mohamed Ouzahra, Ouzahra, Mohamed
Computer Science · Engineering · Mathematics · #93C25 #93D15 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1710.02847

openalex publication_date 2017/10/08 · openalex created_date 2017/10/20 · openalex updated_date 2026/07/28

Abstract

This paper provides necessary and sufficient conditions for exponential stabilization of distributed systems affine in control, evolving in a Banach state space, by means of constant controls. An explicit estimate of the convergence speed is obtained under the given constant control. Various applications are provided.

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