• 제목/요약/키워드: non-linear criterion

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변수 불확실성과 시변 시간지연을 가지는 특이시스템의 지연 종속 강인 비약성 안정화 (Delay-dependent Robust and Non-fragile Stabilization for Descriptor Systems with Parameter Uncertainties and Time-varying Delays)

  • 김종해
    • 전기학회논문지
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    • 제57권10호
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    • pp.1854-1860
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    • 2008
  • In this paper, we deal with the problem of delay-dependent robust and non-fragile stabilization for descriptor systems with parameter uncertainties and time-varying delays on the basis of strict LMI(linear matrix inequality) technique. Also, the considering controller is composed of multiplicative uncertainty. The delay-dependent robust and non-fragile stability criterion without semi-definite condition and decomposition of system matrices is obtained. Based on the criterion, the problem is solved via state feedback controller, which guarantees that the resultant closed-loop system is regular, impulse free and stable in spite of all admissible parameter uncertainties, time-varying delays, and controller fragility. Numerical examples are presented to demonstrate the effectiveness of the proposed method.

Considering Dynamic Non-Segmental Phonetics

  • Fujino, Yoshinari
    • 대한음성학회:학술대회논문집
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    • 대한음성학회 2000년도 7월 학술대회지
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    • pp.312-320
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    • 2000
  • This presentation aims to explore some possibility of non-segmental phonetics usually ignored in phonetics education. In pedagogical phonetics, especially ESL/EFL oriented phonetics speech sounds tend to be classified in two criteria 1) 'pronunciation' which deals with segments and 2) 'prosody' or 'suprasegmentals', a criterion that deals with non-segmental elements such as stress and intonation. However, speech involves more dynamic processing. It is non-linear and multi-dimensional in spite of the linear sequence of symbols in phonetic/phonological transcriptions. No word is without pitch or voice quality apart from segmental characteristics whether it is spoken in isolation or cut out from continuous speech. This simply tells the dichotomy of pronunciation and prosody is merely a useful convention. There exists some room to consider dynamic non-segmental phonetics. Examples of non-segmental phonetic investigation, some of the analyses conducted within the frame of Firthian Prosodic Analysis, especially of the relation between vowel variants and foot types, are examined and we see what kind of auditory phonetic training is required to understand impressionistic transcriptions which lie behind the non-segmental phonetics.

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Volterra급수로 나타낸 비선형시스템 주파수응답함수의 수렴특성 (Convergence Characteristics of the Frequency Response Functions of Non-Linear Systems Expressed in Terms of the Volterra Series)

  • 이건명
    • 대한기계학회논문집
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    • 제19권8호
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    • pp.1901-1906
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    • 1995
  • The frequency response functions of systems incorporating a non-linear cubic stiffness subject to sinusoidal excitation are derived using the Volterra series and the convergence characteristics investigated. It is shown that the series representation of the frequency response functions converges only when the sinewave input amplitude is within a certain range. Within the range of convergence the frequency response function based on the Volterra series approaches the analytical one as more higher order frequency response function terms are included. Proposed is a criterion for the studies systems to predict approximately the range of sinewave input amplitude for which the series representation of the frequency response functions converges.

GARCH-X(1, 1) model allowing a non-linear function of the variance to follow an AR(1) process

  • Didit B Nugroho;Bernadus AA Wicaksono;Lennox Larwuy
    • Communications for Statistical Applications and Methods
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    • 제30권2호
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    • pp.163-178
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    • 2023
  • GARCH-X(1, 1) model specifies that conditional variance follows an AR(1) process and includes a past exogenous variable. This study proposes a new class from that model by allowing a more general (non-linear) variance function to follow an AR(1) process. The functions applied to the variance equation include exponential, Tukey's ladder, and Yeo-Johnson transformations. In the framework of normal and student-t distributions for return errors, the empirical analysis focuses on two stock indices data in developed countries (FTSE100 and SP500) over the daily period from January 2000 to December 2020. This study uses 10-minute realized volatility as the exogenous component. The parameters of considered models are estimated using the adaptive random walk metropolis method in the Monte Carlo Markov chain algorithm and implemented in the Matlab program. The 95% highest posterior density intervals show that the three transformations are significant for the GARCHX(1, 1) model. In general, based on the Akaike information criterion, the GARCH-X(1, 1) model that has return errors with student-t distribution and variance transformed by Tukey's ladder function provides the best data fit. In forecasting value-at-risk with the 95% confidence level, the Christoffersen's independence test suggest that non-linear models is the most suitable for modeling return data, especially model with the Tukey's ladder transformation.

단순선형회귀와 이차형식회귀모형을 중심으로 D-와 이분산 G-최적에 비교한 Iλ-최적실험기준의 특성연구 (Characteristics of Iλ-optimality Criterion compared to the D- and Heteroscedastic G-optimality with respect to Simple Linear and Quadratic Regression)

  • 김영일
    • 품질경영학회지
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    • 제21권2호
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    • pp.140-155
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    • 1993
  • The characteristics of $I_{\lambda}$-optimality, one of the linear criteria suggested by Fedorov (1972) are investigated with respect to the D-and heteroscedastic G-optimality in case of non-constant variance function. Though having limited results obtained from simple models, we may conclude that $I_{\lambda}$-optimality is sometimes preferred to the heteroscedastic G-optimality suggested newly bv Wong and Cook (1992) in the sense that the experimenter's belief in weighting function exists in $I_{\lambda}$-optimality criterion, not to mention its computational simplicity.

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Stochastic optimum design criterion of added viscous dampers for buildings seismic protection

  • Marano, Giuseppe Carlo;Trentadue, Francesco;Greco, Rita
    • Structural Engineering and Mechanics
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    • 제25권1호
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    • pp.21-37
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    • 2007
  • In this study a stochastic approach for linear viscous dampers design adopted for seismic protection of buildings is developed. Devices optimal placement into the main structure and their mechanical parameters are attained by means of a reliability-based optimum design criterion, in which an objective function (O.F.) is minimized, subject to a stochastic constraint. The seismic input is modelled by a non stationary modulated Kanai Tajimi filtered stochastic process. Building is represented by means of a plane shear type frame model. The selected criterion for the optimization searches the minimum of the O.F., here assumed to be the cost of the seismic protection, i.e., assumed proportional to the sum of added dampings of each device. The stochastic constraint limits a suitable approximated measure of the structure failure probability, here associated to the maximum interstorey drift crossing over a given threshold limit, related, according with modern Technical Codes, to the required damage control.

비선형 암석 파괴조건식의 접선 마찰각과 점착력의 중간주응력 의존성 (Dependency of Tangential Friction Angle and Cohesion of Non-linear Failure Criteria on the Intermediate Principal Stress)

  • 이연규;최병희
    • 터널과지하공간
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    • 제23권3호
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    • pp.219-227
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    • 2013
  • Mohr-Coulomb 파괴조건식은 암반구조물의 설계에 활발히 이용되고 있지만 암석의 비선형 강도특성과 중간주응력이 강도에 미치는 영향을 고려할 수 없다는 단점을 가지고 있다. 이러한 단점을 극복하기 위하여 Hoek-Brown 파괴조건식이 제안되었으며 최근 중간주응력의 영향을 고려할 수 있는 여러 3-D 파괴조건식들이 제안되고 있다. 그러나 아직까지도 많은 암반공학적 설계과정에서 Mohr-Coulomb 파괴조건식을 이용하여 암반의 파괴 가능성이 평가되고 있고 대부분의 현장 기술자들도 내부마찰각과 점착력으로 암반의 강도특성을 이해하는데 익숙하다. 그러므로 Mohr-Coulomb 파괴조건식에 비해 개선된 비선형 혹은 3-D 파괴조건식의 접선마찰각 및 접선점착력이 구해지면 기존의 Mohr-Coulomb 파괴조건식을 활용하는 틀 안에서 개선된 파괴조건식들의 장점을 이용하는 것이 가능하다. 본 연구에서는 접선마찰각과 접선점착력을 응력불변량으로 표시하는 방법을 제시하고 이를 일반화된 Hoek-Brown 파괴조건식과 Hoek-Brown 파괴조건식을 3-D로 확장시킨 HB-WW 파괴조건식에 적용하였다. 또한 파괴조건식의 중간주응력 의존성을 3차원 주응력 공간에서 기하학적으로 해석하는 새로운 접근법을 제안하였다. 제안된 방법의 실행 사례를 통해 HB-WW 파괴함수의 접선마찰각과 접선점착력은 2-D 파괴함수의 경우와 달리 중간주응력의 크기에 상당한 영향을 받음을 보였다.

Non-Linear dynamic pulse buckling of laminated composite curved panels

  • Keshav, Vasanth;Patel, Shuvendu N.
    • Structural Engineering and Mechanics
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    • 제73권2호
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    • pp.181-190
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    • 2020
  • In this paper, non-linear dynamic buckling behaviour of laminated composite curved panels subjected to dynamic in-plane axial compressive loads is studied using finite element methods. The work is carried out using the finite element software ABAQUS. The curved panels are modelled with S4R element and the nonlinear dynamic equilibrium equations are solved using the ABAQUS/Explicit algorithm. The effect of aspect ratio, radius of curvature and thickness are studied. The importance of orientation of plies in the direction of loading is also reiterated in this study. Vol'mir's criterion is used to calculate the dynamic buckling loads. The panels are subjected to rectangular pulse load of various amplitude and durations and the responses are observed. For particular loading amplitude, a critical value of loading duration is observed beyond which the variation of dynamic buckling load is insignificant. It is also observed that, the value of dynamic bucking load reduces as the loading duration is increased though the reduction is not much after a particular loading duration.

Micro-mechanical modeling for compressive behavior of concrete material

  • Haleerattanawattana, P.;Senjuntichai, T.;Limsuwan, E.
    • Structural Engineering and Mechanics
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    • 제18권5호
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    • pp.691-707
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    • 2004
  • This paper presents the micro-mechanical modeling for predicting concrete behavior under compressive loading. The model is able to represent the heterogeneities in the microstructure up to three phases, i.e., aggregate particles, matrix and interfaces. The smeared crack concept based on non-linear fracture mechanics is implemented in order to formulate the constitutive relation for each component. The splitting tensile strength is considered as a fracture criterion for cracking in micro-level. The finite element method is employed to simulate the model based on plane stress condition by using quadratic triangular elements. The validation of the model is verified by comparing with the experimental results. The influence of tensile strength from both aggregate and matrix phases on the concrete compressive strength is demonstrated. In addition, a guideline on selecting appropriate tensile strength for each phase to obtain specified concrete compressive strength is also presented.