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، 2020، صفحه 177-193 اصل مقاله (3.59 M) | ||
| 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 | ||
| مراجع | ||
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