Stability and controllability of fuzzy singular dynamical systems

被引：9

作者：

Najariyan, Marzieh ^{[1
]}

Pariz, Naser ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Elect Engn, Mashhad, Iran

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2022年 / 359卷 / 15期

基金：

美国国家科学基金会;

关键词：

Dynamical systems;

D O I：

10.1016/j.jfranklin.2022.07.035

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is assigned to study the stability and controllability of fuzzy singular dynamical systems. Some new notions such as granular fuzzy matrix norm, the algebraic operations on the space of fuzzy matrices, fuzzy equilibrium point, and the granular fuzzy transfer function of fuzzy singular dynamical systems are introduced. Furthermore, by presenting some theorems proved in this paper, the fuzzy solutions of fully fuzzy singular dynamical systems are obtained. Moreover, some new notions regarding the analysis of the stability of fuzzy singular dynamical systems are given. The stability analysis underlies the concepts of fuzzy stable, fuzzy critical stable, and fuzzy unstable singular dynamical systems. Besides using the notions of controllability of the fuzzy slow and fast subsystems, the concept of granular controllability of the fuzzy singular dynamical system is investigated.(c) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：8171 / 8187

页数：17

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