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
收藏
页码：8171 / 8187
页数：17
相关论文
共 50 条
  • [31] Stability of a kind of continuous singular large-scale dynamical systems
    Chen, Chao-Tian
    Zhao, Jian-Chuan
    PROCEEDINGS OF 2007 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7, 2007, : 2317 - +
  • [32] Random matrices and controllability of dynamical systems
    Leventides, John
    Poulios, Nick
    Poulios, Costas
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2022, 39 (02) : 371 - 382
  • [33] Controllability of Switched Linear Dynamical Systems
    Klamka, Jerzy
    Niezabitowski, Michal
    2013 18TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2013, : 464 - 467
  • [34] Controllability of dynamical systems. A survey
    Klamka, J.
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2013, 61 (02) : 335 - 342
  • [35] Controllability of fractional damped dynamical systems
    Balachandran, K.
    Govindaraj, V.
    Rivero, M.
    Trujillo, J. J.
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 257 : 66 - 73
  • [36] Positive controllability of positive dynamical systems
    Klamka, J
    PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2002, 1-6 : 4632 - 4637
  • [37] ON THE CONTROLLABILITY OF FUZZY MULTISTAGE SYSTEMS
    WAGENKNECHT, M
    FUZZY SETS AND SYSTEMS, 1990, 35 (02) : 251 - 252
  • [38] Controllability of Prabhakar Fractional Dynamical Systems
    Md Samshad Hussain Ansari
    Muslim Malik
    Dumitru Baleanu
    Qualitative Theory of Dynamical Systems, 2024, 23
  • [39] Controllability of ensembles of linear dynamical systems
    Schoenlein, Michael
    Helmke, Uwe
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2016, 125 : 3 - 14
  • [40] CONSTRAINED CONTROLLABILITY OF FRACTIONAL DYNAMICAL SYSTEMS
    Balachandran, K.
    Kokila, J.
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2013, 34 (11) : 1187 - 1205
12345