• 제목/요약/키워드: T-norm

검색결과 302건 처리시간 0.025초

SOME FIXED POINT THEOREMS VIA COMMON LIMIT RANGE PROPERTY IN NON-ARCHIMEDEAN MENGER PROBABILISTIC METRIC SPACES

  • Nashine, Hemant Kumar;Kadelburg, Zoran
    • 대한수학회보
    • /
    • 제52권3호
    • /
    • pp.789-807
    • /
    • 2015
  • We propose coincidence and common fixed point results for a quadruple of self mappings satisfying common limit range property and weakly compatibility under generalized ${\Phi}$-contractive conditions i Non-Archimedean Menger PM-spaces. As examples we exhibit different types of situations where these conditions can be used. A common fixed point theorem for four finite families of self mappings is presented as an application of the proposed results. The existence and uniqueness of solutions for certain system of functional equations arising in dynamic programming are also presented as another application.

NUMERICAL SOLUTIONS FOR SPACE FRACTIONAL DISPERSION EQUATIONS WITH NONLINEAR SOURCE TERMS

  • Choi, Hong-Won;Chung, Sang-Kwon;Lee, Yoon-Ju
    • 대한수학회보
    • /
    • 제47권6호
    • /
    • pp.1225-1234
    • /
    • 2010
  • Numerical solutions for the fractional differential dispersion equations with nonlinear forcing terms are considered. The backward Euler finite difference scheme is applied in order to obtain numerical solutions for the equation. Existence and stability of the approximate solutions are carried out by using the right shifted Grunwald formula for the fractional derivative term in the spatial direction. Error estimate of order $O({\Delta}x+{\Delta}t)$ is obtained in the discrete $L_2$ norm. The method is applied to a linear fractional dispersion equations in order to see the theoretical order of convergence. Numerical results for a nonlinear problem show that the numerical solution approach the solution of classical diffusion equation as fractional order approaches 2.

강인 지능형 디지털 재설계 방안 연구 (Robust Intelligent Digital Redesign)

  • 성화창;주영훈;박진배
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2006년 학술대회 논문집 정보 및 제어부문
    • /
    • pp.220-222
    • /
    • 2006
  • This paper presents intelligent digital redesign method of global approach for hybrid state space fuzzy-model-based controllers. For effectiveness and stabilization of continuous-time uncertain nonlinear systems under discrete-time controller, Takagi-Sugeno(TS) fuzzy model is used to represent the complex system. And global approach design problems viewed as a convex optimization problem that we minimize the error of the norm bounds between nonlinearly interpolated lineal operators to be matched. Also, by using the bilinear and inverse bilinear approximation method, we analyzed nonlinear system's uncertain parts more precisely. When a sampling period is sufficiently small, the conversion of a continuous-time structured uncertain nonlinear system to an equivalent discrete-time system have proper reason. Sufficiently conditions for the global state-matching of the digitally controlled system are formulated in terms of linear matrix inequalities (LMIs). Finally, a T-S fuzzy model for the chaotic Lorentz system is used as an example to guarantee the stability and effectiveness of the proposed method.

  • PDF

Power Series를 이용한 불확실성을 포함된 비선형 시스템의 지능형 디지털 재설계 (Intelligent Digital Redesign of Uncertain Nonlinear Systems Using Power Series)

  • 성화창;주영훈;박진배;김도완
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2005년도 학술대회 논문집 정보 및 제어부문
    • /
    • pp.496-498
    • /
    • 2005
  • This paper presents intelligent digital redesign method of global approach for hybrid state space fuzzy-model-based controllers. For effectiveness and stabilization of continuous-time uncertain nonlinear systems under discrete-time controller, Takagi-Sugeno(TS) fuzzy model is used to represent the complex system. And global approach design problems viewed as a convex optimization problem that we minimize the error of the norm bounds between nonlinearly interpolated linear operators to be matched. Also by using the power series, we analyzed nonlinear system's uncertain parts more precisely. When a sampling period is sufficiently small, the conversion of a continuous-time structured uncertain nonlinear system to an equivalent discrete-time system have proper reason. Sufficiently conditions for the global state-matching of the digitally controlled system are formulated in terms of linear matrix inequalities (LMIs).

  • PDF

정보가전의 기술 수용에 관한 실증적 연구 - 양방향 TV를 중심으로 - (An Empircal Study on the Adoption of Information Appliances with a Focus on Interactive TV)

  • 유효식;최훈;김진우
    • Asia pacific journal of information systems
    • /
    • 제12권2호
    • /
    • pp.45-68
    • /
    • 2002
  • Technology adoption for information appliance, which is expected to grow rapidly in the near future, is different from other technologies in that it is mainly used in the home environment when the customers haven't experienced it before. This paper finds important variables from prior research about technology adoption and develops a measurement model that fits for the information appliance. Pretest and pilot studies for the model is conducted in order to guarantee content validity, reliability, convergent validity and discriminant validity. Finally, LISREL analysis is used for finding out the causality among variables and testing for model fitness. The results indicate that three factors that influence behavioral intention are attitude, subjective norm and perceived behavioral control. Attitude is influenced by attitudinal belief, which consists of perceived usefulness, trialability, result demonstrability, image and enjoyment. Perceived behavioral control is influenced by control belief that consists of rapid change in technology, cost and ease of use. This paper ends with implications and limitations of study results.

규범서를 중심으로한 기성세대와 청소년간의 생활예절 비교연구 (A comparative study of the life etiquette between the older generation and the younger one based on the norm-book)

  • 이길표
    • 대한가정학회지
    • /
    • 제35권3호
    • /
    • pp.125-137
    • /
    • 1997
  • This study is based on the investigation to find a more practical way of the life etiquette education for today's family style, and also focused on the comparison of the life style between the older generation and the younger generation. The questionaire of this study were obtained by 494 high school students and their mothers living in Seoul. Collected data were processed by frequency analysis, t-test, ANOVA, and Pearson's corrlation analysis adapted by SPSS program. The conclusion shows that acceptance level is higher among the older generation, but the necessity of life etiquette education beyond the generation is needed urgently. Then life etiquette education must be kept continuously at home, school and society.

  • PDF

GENERALIZED EULER PROCESS FOR SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS

  • Yu, Dong-Won
    • Journal of applied mathematics & informatics
    • /
    • 제7권3호
    • /
    • pp.941-958
    • /
    • 2000
  • Euler method is generalized to solve the system of nonlinear differential equations. The generalization is carried out by taking a special constant matrix S so that exp(tS) can be exactly computed. Such a matrix S is extracted from the Jacobian matrix of the given problem. Stability of the generalized Euler process is discussed. It is shown that the generalized Euler process is comparable to the fourth order Runge-Kutta method. We also exemplify that the important qualitative and geometric features of the underlying dynamical system can be recovered by the generalized Euler process.

Design of a Robust Target Tracker for Parameter Variations and Unknown Inputs

  • Kim, Eung-Tai;Andrisani, D. II
    • International Journal of Aeronautical and Space Sciences
    • /
    • 제2권2호
    • /
    • pp.73-81
    • /
    • 2001
  • This paper describes the procedure to develop a robust estimator design method for a target tracker that accounts for both structured real parameter uncertainties and unknown inputs. Two robust design approaches are combined: the Mini-p-Norm. design method to consider real parameter uncertainties and the $H_{\infty}$ design technique for unknown disturbances and unknown inputs. Constant estimator gains are computed that guarantee the robust performance of the estimator in the presence of parameter variations in the target model and unknown inputs to the target. The new estimator has two design parameters. One design parameter allows the trade off between small estimator error variance and low sensitivity to unknown parameter variations. Another design parameter allows the trade off between the robustness to real parameter variations and the robustness to unknown inputs. This robust estimator design method was applied to the longitudinal motion tracking problem of a T-38 aircraft.

  • PDF

송전용 자기재 애자의 열화시험 평가기술 (Assessment Technique and Aging Test for EHV Porcelain Insulators)

  • 한세원;조한구;박기호;정길조;이동일;최인혁;신태우
    • 한국전기전자재료학회:학술대회논문집
    • /
    • 한국전기전자재료학회 2002년도 추계학술대회 논문집 Vol.15
    • /
    • pp.480-483
    • /
    • 2002
  • This paper through shift norm of insulator and research by accident prevention countermeasure special skill authoritativeness verification of insulator and Long Term aging factor for power transmission analysis and evaluate and prove quality of insulator wish to. Assessment technique by aging of own porcelain insulator observes ageing factor for reciprocity comparison through several examinations. Through cool and heat accelerated Aging test, can measure the leakage current change amount that ensue to each Cycle. Can confirm own blazing fire factor as distribution freshness that ensue in HRB Test's hardness value.

  • PDF

COMPARISON OF DIFFERENT PROCEDURES FOR TONALITY CALCULATIONS.

  • Weber, R.;Dreesen, T.
    • 한국음향학회:학술대회논문집
    • /
    • 한국음향학회 1994년도 FIFTH WESTERN PACIFIC REGIONAL ACOUSTICS CONFERENCE SEOUL KOREA
    • /
    • pp.650-655
    • /
    • 1994
  • The persence of distinct tones in environmental noises leads to an increasing anaoyance especially if the tones are of long duration. Before 1992 in Germany the tonal content of noises had to be subjectively estimated by the acoustic consultants and up to six dB could be added to the measured Leq depending on the tonality content of the noise under consideration. In order to give an objective basis for tonality estimated a DIN norm proposal for tonality evaluations was introduced in 1992. This proposal is compared with two different procedures : the prominece-ratio calculation which was proposed by Bienvenue and Nobile /4/ and the proposal of Ares /5/. The output of the three models is contrasted with subjective tonality judgements. It turns out that the prominence ratio model yields the best agreement with the subjective tonality assessments od the sound set chosen.

  • PDF