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arXiv · 2201.08713

State-constrained porous media control systems with application to stabilization

Ioana Ciotir·Dan Goreac·Ionut Munteanu
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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.

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Ioana Ciotir, Dan Goreac, Ionut Munteanu. 2022-01-21. State-constrained porous media control systems with application to stabilization. https://arxiv.org/abs/2201.08713

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