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Stabilization of nonautonomous linear parabolic-like equations: oblique projections versus Riccati feedbacks

Authors :
Rodrigues, Sérgio S.
Publication Year :
2022

Abstract

An oblique projections based feedback stabilizability result in the literature is extended to a larger class of reaction-convection terms. A discussion is presented including a comparison between explicit oblique projections base feedback controls and Riccati based feedback controls. Advantages and limitations of each type of feedback are addressed as well as their finite-elements implementation. Results of numerical simulations are presented comparing their stabilizing performances for the case of time-periodic dynamics. It is shown that the solution of the periodic Riccati based feedback can be computed iteratively.<br />Comment: 10 figures

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2203.10019
Document Type :
Working Paper