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Regional stabilization for a class of bilinear systems

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Abstract The aim of this paper is to study regional stabilization for a class of bilinear systems evolving in a spatial domain Ω. It consists in studying the asymptotic behaviour… Click to show full abstract

Abstract The aim of this paper is to study regional stabilization for a class of bilinear systems evolving in a spatial domain Ω. It consists in studying the asymptotic behaviour of such a system in a subregion ω of Ω, then we give sufficient conditions for weak, strong and exponential stabilization in ω. Also, we concentrate on the determination of the control which ensures regional stabilization and minimizes a given performance cost. The obtained results are illustrated by simulations.

Keywords: regional stabilization; class bilinear; stabilization; bilinear systems; stabilization class

Journal Title: IFAC-PapersOnLine
Year Published: 2017

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