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Approximate distributed controllability of nonlocal Rayleigh beam | ||
| Computational Methods for Differential Equations | ||
| مقاله 11، دوره 9، شماره 1، فروردین 2021، صفحه 180-186 اصل مقاله (113.94 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.29618.1434 | ||
| نویسندگان | ||
| Hanif Heidari* 1؛ Parisa Alasvand Hadi1؛ Reza Nazemnezhad2 | ||
| 1School of Mathematics and Computer Sciences, Damghan University, Damghan, P.O. Box 36715-364, Iran. | ||
| 2School of Engineering, Damghan University, Damghan, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Controllability؛ Nanorod؛ Rayleigh | ||
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