Feedback Stabilization for a Reaction-Diffusion System with Nonlocal Reaction Term

We consider a two-component reaction-diffusion system with a nonlocal reaction term. A necessary condition and a sufficient condition for the internal stabilizability to zero of one of the two components of the solution while preserving the nonnegativity of both components have been established in [...

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Bibliographic Details
Published in:	Numerical functional analysis and optimization Vol. 32; no. 4; pp. 351 - 369
Main Authors:	Aniţa, Sebastian, Arnăutu, Viorel, Dodea, Smaranda
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Taylor & Francis Group 07.03.2011 Taylor & Francis
Subjects:	Approximation Control systems Control theory Dynamics Eigenvalues Exact sciences and technology Feedback Feedback control Feedback stabilization Mathematical models Mathematics Nonlinear algebraic and transcendental equations Nonlocal reaction term Numerical analysis Numerical analysis. Scientific computation Numerical iterative algorithm Numerical linear algebra Prey-predator system Primary 92D25, 35K57, 93D15 Principal eigenvalue Reaction-diffusion system Sciences and techniques of general use Secondary 35P15, 35B40 Stabilization Numerical iterative algorithm Necessary and sufficient condition Stabilization Eigenvalue Iterative method Predator prey system Feedback control Prey-predator system Non linear equation Secondary 35P15 Feedback Nonlocal reaction term Feedback stabilization Transcendental equation Approximate method Eigenvector Numerical linear algebra Principal eigenvalue Reaction diffusion equation 35K57 Primary 92D25 Algorithm Numerical analysis Reaction-diffusion system 93D15 Algebraic equation Population dynamics 35B40 Self adjoint operator
ISSN:	0163-0563, 1532-2467
Online Access:	Get full text
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