%0 Journal Article
%T Solution of n-th order interval fuzzy differential IAL equations using the backstepping method
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Abbas, Muna S
%A Fadhel, Fadhel S
%D 2021
%\ 01/01/2021
%V 12
%N Special Issue
%P 1965-1985
%! Solution of n-th order interval fuzzy differential IAL equations using the backstepping method
%K Backstepping method
%K fuzzy differential equations
%K Uncertainty interval
%K Control problems
%K Lyapunov functions
%K Quadratic from
%R 10.22075/ijnaa.2021.5966
%X 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).
%U https://ijnaa.semnan.ac.ir/article_5966_b21f7689a31e67c9d9d0b3dc221949da.pdf