Stabilility of semilinear evolution equations in Hilbert space
type: Item
instance of: scholarly article
title: Stabilility of semilinear evolution equations in Hilbert space
zbMATH Open document ID: 0544.93056
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1984-01-01T00:00:00Z
review text: In this paper the author investigates the problem of stabilization of a semilinear evolution equation. She extends \textit{H. Kielhöfer's} results [Arch. Ration. Mech. Anal. 57, 150-165 (1974; Zbl 0337.34056)] to show that under certain conditions it is possible to stabilize an unstable semilinear evolution equation by implementing a suitable control scheme (or linear dynamic output feedback). She does this by designing a finite- dimensional compensator scheme for the linearized system using her recent results [J. Franklin Inst. 315, 331-346 (1983; Zbl 0518.93045)] for linear evolution systems.
reviewed by: Toshihiro Kobayashi
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 35G10
Mathematics Subject Classification ID: 35K25
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 46C99
zbMATH DE Number: 3867186
zbMATH Keywords: stabilization of a semilinear evolution equation
zbMATH Keywords: dynamic output feedback
zbMATH Keywords: finite-dimensional compensator
author: Ruth Curtain
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3867186