论文标题
受国家约束的多孔媒体控制系统具有稳定的应用
State-constrained porous media control systems with application to stabilization
论文作者
论文摘要
我们的目的是通过使用内部控件在规定的一组约束中维护随机耦合系统与多孔介质组件保持随机耦合系统的能力的表征。该特性通过欧拉近似方案的精神通过准划分的局部时间条件来证明。特别是，通过使用系统的一个组成部分作为渐近监管者，我们提供了保证可控多孔培养基方程的指数渐近稳定性的条件。
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.
