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.
Heidari, H. , Alasvand Hadi, P. and Nazemnezhad, R. (2021). Approximate distributed controllability of nonlocal Rayleigh beam. Computational Methods for Differential Equations, 9(1), 180-186. doi: 10.22034/cmde.2020.29618.1434
MLA
Heidari, H. , , Alasvand Hadi, P. , and Nazemnezhad, R. . "Approximate distributed controllability of nonlocal Rayleigh beam", Computational Methods for Differential Equations, 9, 1, 2021, 180-186. doi: 10.22034/cmde.2020.29618.1434
HARVARD
Heidari, H., Alasvand Hadi, P., Nazemnezhad, R. (2021). 'Approximate distributed controllability of nonlocal Rayleigh beam', Computational Methods for Differential Equations, 9(1), pp. 180-186. doi: 10.22034/cmde.2020.29618.1434
CHICAGO
H. Heidari , P. Alasvand Hadi and R. Nazemnezhad, "Approximate distributed controllability of nonlocal Rayleigh beam," Computational Methods for Differential Equations, 9 1 (2021): 180-186, doi: 10.22034/cmde.2020.29618.1434
VANCOUVER
Heidari, H., Alasvand Hadi, P., Nazemnezhad, R. Approximate distributed controllability of nonlocal Rayleigh beam. Computational Methods for Differential Equations, 2021; 9(1): 180-186. doi: 10.22034/cmde.2020.29618.1434
)
