Approximate distributed controllability of nonlocal Rayleigh beam

Author(s):

Hanif Heidari * , Parisa Alasvand Hadi , Reza Nazemnezhad

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
Computational Methods for Differential Equations, Volume:9 Issue: 1, Winter 2021
Pages:
180 to 186
https://www.magiran.com/p2232583