Stabilization of a piezoelectric system
K. Ammari, S. Nicaise
TL;DR
This paper addresses the stabilization of a piezoelectric system, proving exponential stability under specific geometric conditions using multiplier identities to establish observability.
Contribution
It introduces a novel stabilization method for piezoelectric systems based on multiplier identities and geometric conditions.
Findings
Proves exponential stability under Lions geometric condition
Develops an observability estimate using multiplier identities
Provides a new approach to stabilizing piezoelectric systems
Abstract
We consider a stabilization problem for a piezoelectric system. We prove an exponential stability result under some Lions geometric condition. Our method is based on an identity with multipliers that allows to show an appropriate observability estimate.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Advanced Mathematical Modeling in Engineering · Physics and Engineering Research Articles