Exponential stabilization of a microbeam system with a boundary or distributed time delay

Baowei Feng; Boumediène Chentouf

doi:10.1002/mma.7518

Exponential stabilization of a microbeam system with a boundary or distributed time delay

Baowei Feng, Boumediène Chentouf^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	11613-11630
Number of pages	18
Journal	Mathematical Methods in the Applied Sciences
Volume	44
Issue number	14
DOIs	https://doi.org/10.1002/mma.7518
Publication status	Published - Sept 30 2021
Externally published	Yes

Keywords

Lyapunov and other classical stabilities in control theory
asymptotic stability in control theory
exponential stability
stabilization of systems by feedback

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/mma.7518

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keywords = "Lyapunov and other classical stabilities in control theory, asymptotic stability in control theory, exponential stability, stabilization of systems by feedback",

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AB - 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.

KW - Lyapunov and other classical stabilities in control theory

KW - asymptotic stability in control theory

KW - exponential stability

KW - stabilization of systems by feedback

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Exponential stabilization of a microbeam system with a boundary or distributed time delay

Abstract

Keywords

ASJC Scopus subject areas

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