Solution of n-th order interval fuzzy differential IAL equations using the backstepping method | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، Special Issue، اسفند 2021، صفحه 1965-1985 اصل مقاله (532.21 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5966 | ||
| نویسندگان | ||
| Muna S Abbas* 1؛ Fadhel S Fadhel2 | ||
| 1Department of Accounting, Al-Esraa University College, Baghdad, Iraq | ||
| 2Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad, Iraq | ||
| چکیده | ||
| There are two key points in this work as the main objectives. The first is how to convert $ n^{th} $ order fuzzy differential equation into a first-order system of fuzzy differential equations using the notion of upper and lower bounds of the fuzzy solution to constitute the so-called interval fuzzy solution. The second is to solve the obtained system from the first step using a powerful method (the backstepping method) to provide an asymptotically stable solution by applying direct methods of stability (Lyapunov direct method). | ||
| کلیدواژهها | ||
| Backstepping method؛ Fuzzy differential equations؛ Uncertainty interval؛ Control problems؛ Lyapunov functions؛ Quadratic from | ||
| مراجع | ||
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