Title of article
Approximate distributed controllability of nonlocal Rayleigh beam
Author/Authors
Heidari ، Hanif School of Mathematics and Computer Sciences - Damghan University , Alasvand Hadi ، Parisa School of Mathematics and Computer Sciences - Damghan University , Nazemnezhad ، Reza School of Engineering - Damghan University
From page
180
To page
186
Abstract
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
Journal title
Computational Methods for Differential Equations
Journal title
Computational Methods for Differential Equations
Record number
2576693
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