Solution of n-th order interval fuzzy differential IAL equations using the backstepping method

被引：0

作者：

Abbas, Muna S. ^{[1
]}

Fadhel, Fadhel S. ^{[2
]}

机构：

[1] Al Esraa Univ Coll, Dept Accounting, Baghdad, Iraq

[2] Al Nahrain Univ, Coll Sci, Dept Math & Comp Applicat, Baghdad, Iraq

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2021年 / 12卷

关键词：

Backstepping method; Fuzzy differential equations; Uncertainty interval; Control; problems; Lyapunov functions; Quadratic from; LINEAR-EQUATIONS; SYSTEM;

D O I：

10.22075/ijnaa.2021.5966

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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).

引用

页码：1965 / 1985

页数：21

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