TY - JOUR
T1 - Exponential stabilization of a microbeam system with a boundary or distributed time delay
AU - Feng, Baowei
AU - Chentouf, Boumediène
N1 - Funding Information:
The authors are grateful to the editor and referees for their helpful comments and valuable remarks that help to improve the paper. Baowei Feng has been supported by the National Natural Science Foundation of China, grant #11701465.
Publisher Copyright:
© 2021 John Wiley & Sons, Ltd.
PY - 2021/9/30
Y1 - 2021/9/30
N2 - 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.
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 - asymptotic stability in control theory
KW - exponential stability
KW - Lyapunov and other classical stabilities in control theory
KW - stabilization of systems by feedback
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U2 - 10.1002/mma.7518
DO - 10.1002/mma.7518
M3 - Article
AN - SCOPUS:85107000005
SN - 0170-4214
VL - 44
SP - 11613
EP - 11630
JO - Mathematical Methods in the Applied Sciences
JF - Mathematical Methods in the Applied Sciences
IS - 14
ER -