Title of article :
Solution of n-th order interval fuzzy differential IAL equations using the backstepping method
Author/Authors :
Abbas, Muna S Department of Accounting - Al-Esra’a University College - Baghdad, Iraq , Fadhel, Fadhel S Department of Mathematics and Computer Applications - College of Science - Al-Nahrain University - Baghdad, Iraq
Abstract :
There are two key points in this work as the main objectives. The first is how to convert nth
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).
Keywords :
Backstepping method , Fuzzy differential equations , Uncertainty interval , Control problems , Lyapunov functions , Quadratic from
Journal title :
International Journal of Nonlinear Analysis and Applications
