Title of article :
On the stabilization of a coupled fractional ordinary and partial differential equations†
Author/Authors :
Amiri ، Sh. Department of Applied Mathematics - Faculty of Mathematical Sciences - University of Guilan , Keyanpour ، M. Faculty of Mathematical Sciences, Center of Excellence for Mathematical Modelling Optimization and Combinational Computing (MMOCC) - University of Guilan
Abstract :
We investigate the stabilization problem of a cascade of a fractional ordinary differential equation (FODE) and a fractional diffusion (FD) equation, where the interconnections are of Neumann type. We exploit the PDE back stepping method as a powerful tool for designing a controller to show the Mittag–Leffler stability of the FD-FODE cascade. Finally, numerical simulations are presented to verify the results.
Keywords :
Backstepping , ، Stability , ، Fractional-order cascaded systems
Journal title :
Iranian Journal of Numerical Analysis and Optimization
Journal title :
Iranian Journal of Numerical Analysis and Optimization
