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Local stabilization of semilinear parabolic system by boundary control
Author(s) -
Si Yuanchao,
Xie Chengkang
Publication year - 2021
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2216
Subject(s) - boundary (topology) , mathematics , nonlinear system , control theory (sociology) , operator (biology) , stability (learning theory) , exponential stability , control (management) , parabolic partial differential equation , mathematical analysis , boundary value problem , computer science , partial differential equation , physics , biochemistry , chemistry , transcription factor , gene , artificial intelligence , repressor , quantum mechanics , machine learning
This paper addresses local stabilization of a semilinear parabolic system by boundary control. Under a certain assumption on the nonlinearity of the parabolic equation, a linear boundary feedback control law is applied to control the semilinear system. Based on the operator theories and relations of different norms, locally exponential stabilization of the closed loop system is established. Simulations support the established stability result.