Stabilization by switching control methods
Ka\"is Ammari, Serge Nicaise, Cristina Pignotti
TL;DR
This paper investigates stabilization of the wave equation through switching control methods, establishing exponential stability results using energy estimates and D'Alembert formula for specific damping coefficients.
Contribution
It introduces new stabilization techniques for wave equations with switching control, providing rigorous exponential stability proofs.
Findings
Exponential stability achieved with certain damping coefficients
Energy estimates and D'Alembert formula are effective tools
Switching control methods enhance wave equation stabilization
Abstract
In this paper we consider some stabilization problems for the wave equation with switching. We prove exponential stability results for appropriate damping coefficients. The proof of the main results is based on D'Alembert formula and some energy estimates.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Advanced Mathematical Modeling in Engineering · Control and Stability of Dynamical Systems