• 제목/요약/키워드: fuzzy differential systems

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EXISTENCE AND UNIQUENESS THEOREM FOR LINEAR FUZZY DIFFERENTIAL EQUATIONS

  • You, Cuilian;Wang, Gensen
    • East Asian mathematical journal
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    • 제27권3호
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    • pp.289-297
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    • 2011
  • The introduction of fuzzy differential equation is to deal wit fuzzy dynamic systems. As classical differential equations, it is difficult to find the solutions to all fuzzy differential equations. In this paper an existence and uniqueness theorem for linear fuzzy differential equations is obtained. Moreover, the exact solution to linear fuzzy differential equation is given.

비국소 초기 조건을 갖는 퍼지 미분방정식에 대한 제어가능성 (Controllability for the fuzzy differential systems with nonlocal Initial conditions)

  • Park, Jong-Seo;Jeong, Doo-Hoan;Kwun, Young-Chel
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2002년도 추계학술대회 및 정기총회
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    • pp.17-19
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    • 2002
  • 본 논문에서는 비국소 초기 조건을 갖는 퍼지 미분방정식에 대한 제어가능성에 관한 연구이다. 이 논문은 참고논문(5)의 확장된 결과이다.

Exact Controllability for Fuzzy Differential Equations in Credibility Space

  • Lee, Bu Young;Youm, Hae Eun;Kim, Jeong Soon
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제14권2호
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    • pp.145-153
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    • 2014
  • With reasonable control selections on the space of functions, various application models can take the shape of a well-defined control system on mathematics. In the credibility space, controlability management of fuzzy differential equation is as much important issue as stability. This paper addresses exact controllability for fuzzy differential equations in the credibility space in the perspective of Liu process. This is an extension of the controllability results of Park et al. (Controllability for the semilinear fuzzy integro-differential equations with nonlocal conditions) to fuzzy differential equations driven by Liu process.

Existence and Uniqueness of Solutions for the Fuzzy Differential Equations in n-Dimension Fuzzy Vector Space

  • Kwun, Young-Chel;Kim, Woe-Hyun;Nakagiri, Shin-Ichi;Park, Jin-Han
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제9권1호
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    • pp.16-19
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    • 2009
  • In this paper, we study the existence and uniqueness of solutions for the fuzzy differential equations in n-dimension fuzzy vector space $(E_N)^n$ using by Banach fixed point theorem.

SOLUTIONS OF A CLASS OF COUPLED SYSTEMS OF FUZZY DELAY DIFFERENTIAL EQUATIONS

  • Wu, Yu-ting;Lan, Heng-you;Zhang, Fan
    • Nonlinear Functional Analysis and Applications
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    • 제26권3호
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    • pp.513-530
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    • 2021
  • The purpose of this paper is to introduce and study a class of coupled systems of fuzzy delay differential equations involving fuzzy initial values and fuzzy source functions of triangular type. We assume that these initial values and source functions are triangular fuzzy functions and define solutions of the coupled systems as a triangular fuzzy function matrix consisting of real functional matrices. The method of triangular fuzzy function, fractional steps and fuzzy terms separation are used to solve the problems. Furthermore, we prove existence and uniqueness of solution for the considered systems, and then a solution algorithm is proposed. Finally, we present an example to illustrate our main results and give some work that can be done later.

n-차원 퍼지벡터공간에서의 퍼지미분방정식에 대한 해의 존재성과 유일성 (Existence and Uniqueness of Solutions for the Fuzzy Differential Equations in n-Dimension Fuzzy Vector Space)

  • 권영철;김외현;박동근
    • 한국지능시스템학회:학술대회논문집
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    • 한국지능시스템학회 2008년도 춘계학술대회 학술발표회 논문집
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    • pp.23-25
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    • 2008
  • In this paper, we study the existence and uniqueness of solutions for the fuzzy differential equations in ${(E_N)^n}$ using by Banach fixed point theorem. ${(E_N)^n}$ is n-dimension fuzzy vector space.

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$E_N^{n_N}$상의 비선형 퍼지 미분방정식에 대한 대역해의 존재성 (The existence of a global solution for the nonlinear fuzzy differential equations in $E_N^{n_N}$)

  • Kwun, Young-Chul;Kang, Jum-Ran;Park, Dong-Gun;Kim, Seon-Yu
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2003년도 춘계 학술대회 학술발표 논문집
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    • pp.1-4
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    • 2003
  • This paper we study the existence of a global solution for the nonlinear fuzzy differential equations in E$_{N}$$^{n}$ by using the concept of fuzzy number of dimension n whose values are normal, convex, upper semicontinuous and compactly supported surface in R$^{n}$ . .

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비국소 초기 조건을 갖는 퍼지 미분 시스템에 대한 제어가능성 (On the controllability of fuzzy differential systems with nonlocal initial conditions)

  • 강점란;정두환;권영철
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2002년도 춘계학술대회 및 임시총회
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    • pp.272-275
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    • 2002
  • In this paper, we find the controllability conditions for the following fuzzy differential systems (equation omitted) where A(t), B(t) are continuous matrices, g is given function, U(t) is fuzzy set and target X$^1$ is fuzzy set.

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