Document Type : Research Paper

Authors

• Muna S Abbas ¹
• Fadhel S Fadhel ²

¹ Department of Accounting, Al-Esraa University College, Baghdad, Iraq

² 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 $ 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).

Keywords

• Backstepping method
• Fuzzy differential equations
• Uncertainty interval
• Control problems
• Lyapunov functions
• Quadratic from