• 제목/요약/키워드: Fuzzy differential equations

검색결과 49건 처리시간 0.02초

Existence and Uniqueness of Fuzzy Solutions for the nonlinear Fuzzy Integro-Differential Equation on EnN

  • Kwun, Young-Chel;Han, Chang-Woo;Kim, Seon-Yu;Park, Jong-Seo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제4권1호
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    • pp.40-44
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    • 2004
  • In this paper we study the existence and uniqueness of fuzzy solutions for the nonlinear fuzzy integro-differential equations on $E^{n}_{N}$ by using the concept of fuzzy number of dimension n whose values are normal, convex, upper semicontinuous and compactly supported surface in $E^{n}_{N}$. $E^{n}_{N}$ be the set of all fuzzy numbers in $R^{n}$ with edges having bases parallel to axis $x_1$, $x_2$, …, $x_n$.

비국소 조건을 갖는 퍼지 미분적분방정식의 해의 존재성과 유일성 (Existence and Uniqueness of Solutions of Fuzzy Integro-Differential equation with Nonlocal condition)

  • 박동근;한효근;김선유
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 추계학술대회 학술발표 논문집
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    • pp.58-63
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    • 1998
  • We will prove the existence and uniqueness theorem of solutions to the nonlocal fuzzy integro-differential equations using Contraction mapping principle.

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$E_N^{n_N}$상의 비선형 퍼지 Integro 미분방정식에 대한 제어가능성 (Controllabi1ity of the nonlinear Fuzzy Integro-Differential Equation on $E_N^{n_N}$)

  • Kwun, Young-Chel;Park, Dong-Gun;Son, Ki-Do;Jeong, Doo-Hwan
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2004년도 추계학술대회 학술발표 논문집 제14권 제2호
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    • pp.345-350
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    • 2004
  • In this paper we study the controllability for the nonlinear fuzzy integro-differential equations on E$_{N}$$^{n}$ by using the concept of fuzzy number of dimension n whose values are normal, convex, upper semicontinuous and compactly supported surface in R$^n$. E$_{N}$$^{n}$ be the set of all fuzzy numbers in R$^n$ with edges having bases parallel to axis X$_1$, X$_2$, …, X$_{n}$ .X> .

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비선형 미분방정식의 TSK 퍼지 모델 유도에 관하여 (On the Derivation of TSK Fuzzy Model for Nonlinear Differentical Equations)

  • 이상민;조중선
    • 한국지능시스템학회논문지
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    • 제11권8호
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    • pp.720-725
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    • 2001
  • 비선형 미분방정식으로부터 TSK(Takagi-Sugeno-Kang) 퍼지모델을 유도한느 것은 퍼지 제어의 이론분야에서는 매우 중요한 문제이다. 본 논문에서는 off-equilibrium에서 상수항을 가지는 부분 미분 방정식을 배제시키는 방법을 제안한다. 이는 전건부의 언어적 표현이 삼각형 소속함수들을 가지는 기본적인 TSK 퍼지모델에서 체계적으로 유도되어진다. 그리고, 유도된 TSK 퍼지모델의 전건부 소속함수들은 GA(Genetic Algorithm)를 이용하여 최적화함으로써 실제 미분방적식에 근사화한다. 아울러 이상의 제안된 방법의 우수성을 모의실험을 통하여 검증한다.

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IMPULSIVE FUZZY SOLUTIONS FOR ABSTRACT SECOND ORDER PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

  • CHALISHAJAR, DIMPLEKUMAR N.;RAMESH, R.
    • Journal of Applied and Pure Mathematics
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    • 제4권1_2호
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    • pp.71-77
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    • 2022
  • This work considers the existence and uniqueness of fuzzy solutions for impulsive abstract partial neutral functional differential systems. To establish the existence and uniqueness, we apply the concept of impulse, semi group theory and suitable fixed point theorem.

퍼지 충격함수에 관하여 (On the Fuzzy Impulsive Function)

  • kwun Young-Chel;Jeong Doo-Hoan
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2005년도 춘계학술대회 학술발표 논문집 제15권 제1호
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    • pp.147-148
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    • 2005
  • In this paper we study Laplace transform of the fuzzy Dirac delta function and the examples of fuzzy impulsive differential equations.

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퍼지제어기를 이용한 차동브레이크 시스템의 능동 조향제어 (Active Handling Control of the Differential Brake System Using Fuzzy Controller)

  • 윤여흥;장봉춘;이성철
    • 한국정밀공학회지
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    • 제20권5호
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    • pp.82-91
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    • 2003
  • Vehicle dynamics control (VDC) has been a breakthrough and become a new terminology for the safety of a driver and improvement of vehicle handling. This paper examines the usefulness of a brake steer system (BSS), which uses differential brake forces for steering intervention in the context of VDC, In order to help the car to turn, a yaw moment can be achieved by altering the left/right and front/rear brake distribution. The steering function achieved through BSS can then be used to control lateral position in an unintended road departure system. An 8-DOF non-linear vehicle model including STI tire model will be validated using the equations of motion of the vehicle, and the non-linear vehicle dynamics. Since fuzzy logic can consider the nonlinear effect of vehicle modeling, fuzzy controller is designed to explore BSS feasibility, by modifying the brake distribution through the control of the yaw rate of the vehicle. The control strategies developed will be tested by simulation of a variety of situation; the possibility of VDC using BSS is verified in this paper.

퍼지 알고리즘을 이용한 차동 브레이크 시스템의 조향제어 (Steering Control of Differential Brake System using Fuzzy Algorithm)

  • 윤여흥;제롬살랑선네;장봉춘;이성철
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2002년도 춘계학술대회 논문집
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    • pp.233-237
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    • 2002
  • Vehicle Dynamics Control(VDC) has been a breakthrough and become a new terminology for the safety of a driver and improvement of vehicle handling. This paper examines the usefulness of a brake steer system (BSS), which uses differential brake forces for steering intervention in the context of VDC. In order to help the car to turn, a yaw moment can be achieved by altering the left/light and front/rear brake distribution. The steering function achieved through BSS can then be used to control lateral position in an unintended road departure system. A 8-DOF non-linear vehicle model including STI tire model will be validated using the equations of motion of the vehicle, and the non-linear vehicle dynamics. Since Fuzzy logic can consider the nonlinear effect of vehicle modeling, Fuzzy controller is designed to explore BSS feasibility, by modifying the brake distribution through the control of the yaw rate of the vehicle. The control strategies developed will be tested by simulation of a variety of situation; the possibility of VDC using BSS is verified in this paper.

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