Internal Stabilization of a Mutualistic Reaction Diffusion System

Authors
Dong, Wang Yuan
Citation
Dong, Wang Yuan, Internal Stabilization of a Mutualistic Reaction Diffusion System, Acta mathematica Sinica. English series (Print) , 23(2), 2007, pp. 373-384
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
23
Issue
2
Year of publication
2007
Pages
373 - 384
Database
ACNP
SICI code
Abstract
In this paper, we study the internal stabilization of steady-state solutions to a 2-species mutualistic reaction diffusion system via finite-dimensional feedback controllers. Our main idea is to use different internal controllers to stabilize different steady-state solutions. The controllers are provided by considering LQ problems associated with the linearized systems at steady-state solutions