State-constrained porous media control systems with application to stabilization
Optimization and Control
2022-01-24 v1
Abstract
We aim at providing a characterization of the ability to maintain a stochastic coupled system with porous media components in a prescribed set of constraints by using internal controls. This property is proven via a quasi-tangency local-in-time condition in the spirit of Euler approximation schemes. In particular, by employing one of the components of the system as asymptotic supervisor, we give conditions guaranteeing the exponential asymptotic stabilizability of controlled porous media equations.
Cite
@article{arxiv.2201.08713,
title = {State-constrained porous media control systems with application to stabilization},
author = {Ioana Ciotir and Dan Goreac and Ionut Munteanu},
journal= {arXiv preprint arXiv:2201.08713},
year = {2022}
}