Some Sufficient Conditions for the Controllability of Wave Equations with Variable Coefficients
Yuning Liu
TL;DR
This paper establishes verifiable sufficient conditions ensuring the controllability of wave equations with variable coefficients, complementing previous results and providing practical criteria for control analysis.
Contribution
It introduces new easily checkable conditions that guarantee controllability of wave equations with non-constant coefficients, expanding existing theoretical frameworks.
Findings
Derived verifiable sufficient conditions for controllability.
Complemented previous theoretical results with practical criteria.
Enhanced understanding of controllability in variable coefficient wave equations.
Abstract
In this work, we present some easily verifiable sufficient conditions that guarantee the controllability of wave equations with non-constant coefficients. These conditions work as complements for those obtained by Peng-fei Yao in SIAM J. Control Optim.1999
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Taxonomy
TopicsStability and Controllability of Differential Equations · Advanced Mathematical Physics Problems · Advanced Mathematical Modeling in Engineering