Controllability Results for First Order Impulsive Fuzzy Differential Systems

Rui Liu; Michal Fečkan; Donal O’Regan; Jinrong Wang

doi:10.3390/axioms11090471

Controllability Results for First Order Impulsive Fuzzy Differential Systems

Rui Liu
, Michal Fečkan
, Donal O’Regan
, Jinrong Wang

Mathematics

Guizhou University
Comenius University in Bratislava
Slovak Academy of Sciences

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, we investigate the controllability of first-order impulsive fuzzy differential equations. Using the direct construction method, the controllability of first-order linear impulsive fuzzy differential equations is considered with (Formula presented.), the (c1) solution, and (Formula presented.), the (c2) solution, respectively.In addition, by employing the Banach fixed-point theorem, the controllability of first-order nonlinear impulsive fuzzy differential equations is studied. Finally, examples are presented to illustrate our theoretical results.

Original language	English
Article number	471
Journal	Axioms
Volume	11
Issue number	9
DOIs	https://doi.org/10.3390/axioms11090471
Publication status	Published - Sept 2022

Keywords

(c1) solution
(c2) solution
controllability
fixed-point theorem
fuzzy differential equations

Access to Document

10.3390/axioms11090471

Cite this

@article{e94619490ebd4ce6ab8d4d8d0212c606,

title = "Controllability Results for First Order Impulsive Fuzzy Differential Systems",

abstract = "In this paper, we investigate the controllability of first-order impulsive fuzzy differential equations. Using the direct construction method, the controllability of first-order linear impulsive fuzzy differential equations is considered with (Formula presented.), the (c1) solution, and (Formula presented.), the (c2) solution, respectively.In addition, by employing the Banach fixed-point theorem, the controllability of first-order nonlinear impulsive fuzzy differential equations is studied. Finally, examples are presented to illustrate our theoretical results.",

keywords = "(c1) solution, (c2) solution, controllability, fixed-point theorem, fuzzy differential equations",

author = "Rui Liu and Michal Fe{\v c}kan and Donal O{\textquoteright}Regan and Jinrong Wang",

note = "Publisher Copyright: {\textcopyright} 2022 by the authors.",

year = "2022",

month = sep,

doi = "10.3390/axioms11090471",

language = "English",

volume = "11",

journal = "Axioms",

issn = "2075-1680",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "9",

}

TY - JOUR

T1 - Controllability Results for First Order Impulsive Fuzzy Differential Systems

AU - Liu, Rui

AU - Fečkan, Michal

AU - O’Regan, Donal

AU - Wang, Jinrong

PY - 2022/9

Y1 - 2022/9

N2 - In this paper, we investigate the controllability of first-order impulsive fuzzy differential equations. Using the direct construction method, the controllability of first-order linear impulsive fuzzy differential equations is considered with (Formula presented.), the (c1) solution, and (Formula presented.), the (c2) solution, respectively.In addition, by employing the Banach fixed-point theorem, the controllability of first-order nonlinear impulsive fuzzy differential equations is studied. Finally, examples are presented to illustrate our theoretical results.

AB - In this paper, we investigate the controllability of first-order impulsive fuzzy differential equations. Using the direct construction method, the controllability of first-order linear impulsive fuzzy differential equations is considered with (Formula presented.), the (c1) solution, and (Formula presented.), the (c2) solution, respectively.In addition, by employing the Banach fixed-point theorem, the controllability of first-order nonlinear impulsive fuzzy differential equations is studied. Finally, examples are presented to illustrate our theoretical results.

KW - (c1) solution

KW - (c2) solution

KW - controllability

KW - fixed-point theorem

KW - fuzzy differential equations

UR - https://www.scopus.com/pages/publications/85138740877

U2 - 10.3390/axioms11090471

DO - 10.3390/axioms11090471

M3 - Article

AN - SCOPUS:85138740877

SN - 2075-1680

VL - 11

JO - Axioms

JF - Axioms

IS - 9

M1 - 471

ER -

Controllability Results for First Order Impulsive Fuzzy Differential Systems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this