On the stabilization of a coupled fractional ordinary and partial differential equations†

Iranian Journal of Numerical Analysis and Optimization

مقاله 11، دوره 10، شماره 1 - شماره پیاپی 17، تیر 2020، صفحه 177-193   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v10i1.84902

نویسندگان

S. Amiri^{* 1}؛ M. Keyanpour²

¹Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran.

²Faculty of Mathematical Sciences, and Center of Excellence for Mathematical Modelling, Optimization and Combinational Computing (MMOCC), University of Guilan, Rasht, Iran.

چکیده

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.

کلیدواژه‌ها

Backstepping؛ Stability؛ Fractional-order cascaded systems

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