Stabilization of nonautonomous linear parabolic-like equations: oblique projections versus Riccati feedbacks
Optimization and Control
2022-03-21 v1
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.
Keywords
Cite
@article{arxiv.2203.10019,
title = {Stabilization of nonautonomous linear parabolic-like equations: oblique projections versus Riccati feedbacks},
author = {Sérgio S. Rodrigues},
journal= {arXiv preprint arXiv:2203.10019},
year = {2022}
}
Comments
10 figures