• 제목/요약/키워드: Non-linear Function

검색결과 823건 처리시간 0.028초

Takagi-Sugeno Model-Based Non-Fragile Guaranteed Cost Control for Uncertain Discrete-Time Systems with State Delay

  • Fang, Xiaosheng;Wang, Jingcheng;Zhang, Bin
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제8권2호
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    • pp.151-157
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    • 2008
  • A non-fragile guaranteed cost control (GCC) problem is presented for a class of discrete time-delay nonlinear systems described by Takagi-Sugeno (T-S) fuzzy model. The systems are assumed to have norm-bounded time-varying uncertainties in the matrices of state, delayed state and control gains. Sufficient conditions are first obtained which guarantee that the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound. Then the design method of the non-fragile guaranteed cost controller is formulated in terms of the linear matrix inequality (LMI) approach. A numerical example is given to illustrate the effectiveness of the proposed design method.

Nonlinear and linear thermo-elastic analyses of a functionally graded spherical shell using the Lagrange strain tensor

  • Arefi, Mohammad;Zenkour, Ashraf M.
    • Smart Structures and Systems
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    • 제19권1호
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    • pp.33-38
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    • 2017
  • This research tries to present a nonlinear thermo-elastic solution for a functionally graded spherical shell subjected to mechanical and thermal loads. Geometric nonlinearity is considered using the Lagrange or finite strain tensor. Non-homogeneous material properties are considered based on a power function. Adomian's decomposition method is used for calculation of nonlinear results. Nonlinear results such as displacement can be evaluated for sphere in terms of different indexes of non-homogeneity. A comprehensive comparison between linear and nonlinear results and evaluation of the percentage of difference between them can be performed in this paper. The obtained results indicate that the improvement of the results due to usage of nonlinear analysis is depending on the non-homogeneous index.

Alcock-Paczynski Test with the Evolution of Redshift-Space Galaxy Clustering Anisotropy: Understanding the Systematics

  • Park, Hyunbae;Park, Changbom;Tonegawa, Motonari;Zheng, Yi;Sabiu, Cristiano G.;Li, Xiao-dong;Hong, Sungwook E.;Kim, Juhan
    • 천문학회보
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    • 제44권1호
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    • pp.78.2-78.2
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    • 2019
  • We develop an Alcock-Paczynski (AP) test method that uses the evolution of redshift-space two-point correlation function (2pCF) of galaxies. The method improves the AP test proposed by Li et al. (2015) in that it uses the full two-dimensional shape of the correlation function. Similarly to the original method, the new one uses the 2pCF in redshift space with its amplitude normalized. Cosmological constraints can be obtained by examining the redshift dependence of the normalized 2pCF. This is because the 2pCF should not change apart from the expected small non-linear evolution if galaxy clustering is not distorted by incorrect choice of cosmology used to convert redshift to comoving distance. Our new method decomposes the redshift difference of the 2-dimensional correlation function into the Legendre polynomials whose amplitudes are modelled by radial fitting functions. The shape of the normalized 2pCF suffers from small intrinsic time evolution due to non-linear gravitational evolution and change of type of galaxies between different redshifts. It can be accurately measured by using state of the art cosmological simulations. We use a set of our Multiverse simulations to find that the systematic effects on the shape of the normalized 2pCF are quite insensitive to change of cosmology over \Omega_m=0.21 - 0.31 and w=-0.5 - -1.5. Thanks to this finding, we can now apply our method for the AP test using the non-linear systematics measured from a single simulation of the fiducial cosmological model.

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Post-buckling analysis of piles by perturbation method

  • Zhao, M.H.;He, W.;Li, Q.S.
    • Structural Engineering and Mechanics
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    • 제35권2호
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    • pp.191-203
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    • 2010
  • To investigate the critical buckling load and post-buckling behavior of an axially loaded pile entirely embedded in soil, the non-linear large deflection differential equation for a pinned pile, based on the Winkler-model and the discretionary distribution function of the foundation coefficient along pile shaft, was established by energy method. Assuming that the deflection function was a power series of some perturbation parameter according to the boundary condition and load in the pile, the non-linear large deflection differential equation was transformed to a series of linear differential equations by using perturbation approach. By taking the perturbation parameter at middle deflection, the higher-order asymptotic solution of load-deflection was then found. Effect of ratios of soil depth to pile length, and ratios of pile stiffness to soil stiffness on the critical buckling load and performance of piles (entirely embedded and partially embedded) after flexural buckling were analyzed. Results show that the buckling load capacity increases as the ratios of pile stiffness to soil stiffness increasing. The pile performance will be more stable when ratios of soil depth to pile length, and soil stiffness to pile stiffness decrease.

Electronic transport properties of linear carbon chains encapsulated inside single-walled carbon nanotubes

  • Tojo, Tomohiro;Kang, Cheon Soo;Hayashi, Takuya;Kim, Yoong Ahm
    • Carbon letters
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    • 제28권
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    • pp.60-65
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    • 2018
  • Linear carbon chains (LCCs) encapsulated inside the hollow cores of carbon nanotubes (CNTs) have been experimentally synthesized and structurally characterized by Raman spectroscopy and transmission electron microscopy. However, in terms of electronic conductivity, their transportation mechanism has not been investigated theoretically or experimentally. In this study, the density of states and quantum conductance spectra were simulated through density functional theory combined with the non-equilibrium Green function method. The encapsulated LCCs inside (5,5), (6,4), and (9,0) single-walled carbon nanotubes (SWCNTs) exhibited a drastic change from metallic to semiconducting or from semiconducting to metallic due to the strong charge transfer between them. On the other hand, the electronic change in the conductance value of LCCs encapsulated inside the (7,4) SWCNT were in good agreement with the superposition of the individual SWCNTs and the isolated LCCs owing to the weak charge transfer.

응답률이 선형인 표본조사에서 편향 보정 추정 (Bias adjusted estimation in a sample survey with linear response rate)

  • 정희영;신기일
    • 응용통계연구
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    • 제32권4호
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    • pp.631-642
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    • 2019
  • 다수의 항목무응답이 발생한 표본조사에서는 추정의 정확성이 떨어진다. 이를 해결하기 위한 많은 방법이 개발되었으나 응답률이 관심변수에 의해 영향을 받는 경우임에도 이를 고려하지 않고 랜덤으로 무응답이 발생한다는 가정 하에서 사용하는 무응답 처리 방법을 사용하게 되면 편향이 발생하는 것으로 알려져 있다. Chung과 Shin (2017)과 Min과 Shin (2018)은 응답률이 관심변수의 함수인 경우에서 발생된 편향을 적절히 처리하여 추정의 정확성을 향상시키는 방법을 제안하였다. 본 연구에서는 응답률 함수가 선형(linear)이면서 초모집단 모형의 오차가 정규분포를 따르는 경우를 살펴보았으며 층별 모집단 수가 편향 보정에 영향을 주는지도 살펴보았다. 모의실험을 통하여 제안된 추정량의 성능을 살펴보았으며 실제 자료 분석을 통해 이를 확인하였다.

Large Robust Designs for Generalized Linear Model

  • Kim, Young-Il;Kahng, Myung-Wook
    • Journal of the Korean Data and Information Science Society
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    • 제10권2호
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    • pp.289-298
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    • 1999
  • We consider a minimax approach to make a design robust to many types or uncertainty arising in reality when dealing with non-normal linear models. We try to build a design to protect against the worst case, i.e. to improve the "efficiency" of the worst situation that can happen. In this paper, we especially deal with the generalized linear model. It is a known fact that the generalized linear model is a universal approach, an extension of the normal linear regression model to cover other distributions. Therefore, the optimal design for the generalized linear model has very similar properties as the normal linear model except that it has some special characteristics. Uncertainties regarding the unknown parameters, link function, and the model structure are discussed. We show that the suggested approach is proven to be highly efficient and useful in practice. In the meantime, a computer algorithm is discussed and a conclusion follows.

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Engineering Valuation Based on Small Samples

  • Cho, Jin-Hyung;Lee, Sae-Jae;Seo, Bo-Chul
    • 산업경영시스템학회지
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    • 제29권1호
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    • pp.143-150
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    • 2006
  • Box-Cox model and T-factor method have been widely used to measure economic depreciations for industrial property. The Box-Cox model which combines economic efficiency with depreciation pattern is here extended to the reliability function. To do so a Rayleigh distribution which has been used to estimate the reliability of current assets was chosen as an efficiency curve of marginal productivity. Such an approach provides the possibility to classify the efficiency curves into four categories. It is also possible to analyze the types of depreciation curves. Therefore, the power family of a non-linear Box-Cox model could be set at certain constant values, then the model can be transformed into a linear model to estimate the economic depreciation rates by utilizing the reliability function. Estimating the resultant linear regression equation requires minimal number of observations, while at the same time facilitating the test of hypothesis on depreciation rates.

벡터투영법을 이용한 응답면기법에 관한 연구 (A Study on Response Surface Method Using the Vector Projection Technique)

  • 김상효;나성원;김우곤
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1994년도 가을 학술발표회 논문집
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    • pp.167-174
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    • 1994
  • In this study, an improved response surface method is proposed. By using gradient projection method, the sampling points for creating response surface are evaluated at the region close to the failure surface. This points are combined with linear response surface function and Rackwitz-Fiessler algorithm. Also, a method controlling the range of selecting sampling points considering the non-linearity of the limit states is proposed to reduce the error produced by approximating the non-linear limit state to linear response surface. With the examples the result of the proposed method is found to be more accurate and efficient than the previous response surface method.

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RC 연속보의 최적설계를 위한 GUI 프로그램 개발 (The Development of Graphic User Interface Program for Optimum Design of RC Continuous Beam)

  • 한상훈;조홍동;박중열
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1999년도 봄 학술발표회 논문집(I)
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    • pp.245-250
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    • 1999
  • In this study, the development of graphic user interface(GUI) program for optimum design of RC continuous beam is dealt. Optimum design problem that satisfies strength, serviceability, durability and geometrical conditions is formulated as a non-linear programming problem(NLP) in which the objective function as well as the constraints are highly non-linear on design variables such as cross sectional dimensions and steel ratio. Optimum design problem is solved by NLP techniques namely, sequential linear programming(SLP), sequential convex programming(SCP). Numerical examples of R.C. continuous beam using GUI system are given to show usefulness of GUI system for practical design work and efficiency of algorithm for the NLP techniques.

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