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
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
