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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2023

A Lyapunov approach for the exponential stability of a damped Timoshenko beam

Résumé

In this technical note, we consider the stability properties of a viscously damped Timoshenko beam equation with spatially varying parameters. With the help of the port-Hamiltonian framework, we first prove the existence of solutions and show, by an appropriate Lyapunov function, that the system is exponentially stable and has an explicit decay rate. The explicit exponential bound is computed for an illustrative example of which we provide some numerical simulations.
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Dates et versions

hal-03790390 , version 2 (29-09-2022)
hal-03790390 , version 1 (12-01-2024)

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Andrea Mattioni, Yongxin Wu, Yann Le Gorrec. A Lyapunov approach for the exponential stability of a damped Timoshenko beam. IEEE Transactions on Automatic Control, 2023, ⟨10.1109/TAC.2023.3297499⟩. ⟨hal-03790390v2⟩
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