Boundary stabilization of parabolic nonlinear equations
Munteanu Ionut
TL;DR
This paper investigates the stabilization of equilibrium solutions in parabolic nonlinear equations using boundary feedback control, aiming to enhance stability and control effectiveness.
Contribution
It introduces a boundary feedback stabilization method specifically designed for nonlinear parabolic equations, advancing control techniques in this area.
Findings
Proposed a new boundary feedback control law.
Proved exponential stability of the controlled system.
Validated effectiveness through theoretical analysis.
Abstract
Stabilization of equilibrium solution to parabolic like equations via proportional boundary feedbacks.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Advanced Mathematical Modeling in Engineering · Advanced Mathematical Physics Problems