This paper addresses the stabilization problem of a microscale beam system subject to a delay. Several situations are considered depending whether the delay occurs as a boundary or interior/distributed term. In both cases, the microbeam system is shown to be well posed in the sense of semigroups theory of linear operators. More importantly, using the energy method, the exponential stability is established as long as the parameter of the delay term is small.
- asymptotic stability in control theory
- exponential stability
- Lyapunov and other classical stabilities in control theory
- stabilization of systems by feedback
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