Approximate distributed controllability of nonlocal Rayleigh beam

This paper investigates the distributed controllability of nonlocal Rayleigh beam. The mathematical problem is formulated as an abstract differential equation. It is shown that a sequence of eigenfunction of nonlocal Rayleigh beam forms Riesz basis. Based on Riesz basis properties and theory of abstract differential equation, it is proved that a vibrating nonlocal Rayleigh beam is approximately controllable under suitable distributed control force while it is not exponentially stable.

Keywords:

Controllability , nanorod , Rayleigh

Authors

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School of Mathematics and Computer Sciences, Damghan University, Damghan, P.O. Box ۳۶۷۱۵-۳۶۴, Iran.

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School of Mathematics and Computer Sciences, Damghan University, Damghan, P.O. Box ۳۶۷۱۵-۳۶۴, Iran.

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School of Engineering, Damghan University, Damghan, Iran.

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https://civilica.com/doc/1597966

شناسه ملی سند علمی:

JR_CMDE-9-1_011

تاریخ نمایه سازی: 15 بهمن 1401

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Scientometrics

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Ranking of Damghan University

Type of center: دانشگاه دولتی

Paper count: 2,102

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