Enhancement of stability of linear parabolic systems by static feedback
type: Item
instance of: scholarly article
title: Enhancement of stability of linear parabolic systems by static feedback
zbMATH Open document ID: 1013.93027
DOI: 10.1016/S0893-9659(01)00160-4
published in: Applied Mathematics Letters
publication date: 2003-03-10T00:00:00Z
review text: The author considers a linear parabolic distributed parameter system in a Hilbert space \(H\) under static feedback, \[ u'(t) + Lu(t) = \sum_{k=1}^n \langle u(t), w_k \rangle h_k. \] The problem is to enhance the exponential stability of the system by suitable selection of the sensors \(w_k\) and the actuators \(h_k,\) in the presence of spillovers of the \(w_k\) and \(h_k\).
reviewed by: Hector O. Fattorini
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35K45
zbMATH DE Number: 1878876
zbMATH Keywords: stabilization
zbMATH Keywords: stability enhancement
zbMATH Keywords: parabolic systems
zbMATH Keywords: distributed parameter systems
zbMATH Keywords: static feedback
zbMATH Keywords: spillover
author: Takao Nambu
MaRDI profile type: Publication
cites work: Feedback stabilization for distributed parameter systems of parabolic type. II
cites work: Feedback stabilization of a class of distributed systems and construction of a state estimator
cites work: Finite Dimensional Compensators for Parabolic Distributed Systems with Unbounded Control and Observation
cites work: Q4723649
cites work: Feedback Stabilization of Linear Diffusion Systems
cites work: On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
description: scientific article; zbMATH DE number 1878876