• Title/Summary/Keyword: equilibrium problems

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Design of robust gain scheduling controllers in uncertain nonlinear systems

  • Lee, Seon-Ho;Lim, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.231-234
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    • 1996
  • This paper considers the output regulation problems on uncertain systems. Using NR-estimator(on-line), a family of equilibrium points for the uncertain system is computed. The state variables of the closed loop system track the average value of the obtained equilibrium manifold by dynamic state feedback control.

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ITERATIVE METHODS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND NONEXPANSIVE MAPPINGS

  • Cho, Sun-Young;Kang, Shin-Min;Qin, Xiaolong
    • Communications of the Korean Mathematical Society
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    • v.26 no.1
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    • pp.51-65
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    • 2011
  • In this paper, a composite iterative process is introduced for a generalized equilibrium problem and a pair of nonexpansive mappings. It is proved that the sequence generated in the purposed composite iterative process converges strongly to a common element of the solution set of a generalized equilibrium problem and of the common xed point of a pair of nonexpansive mappings.

A NEW VECTOR QUASI-EQUILIBRIUM-LIKE PROBLEM

  • Lee, Byung-Soo
    • Communications of the Korean Mathematical Society
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    • v.24 no.4
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    • pp.523-528
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    • 2009
  • In this paper, we consider the existence of solutions to some generalized vector quasi-equilibrium-like problem under a c-diagonal quasi-convexity assumptions, but not monotone concepts. For an example, in the proof of Theorem 1, the c-diagonally quasi-convex concepts of a set-valued mapping was used but monotone condition was not used. Our problem is a new kind of equilibrium problems, which can be compared with those of Hou et al. [4].

A Study on the Equilibrium Theory of Business Administration Organization (경영조직의 균형이론에 관한 연구 -"바아나이드" 및 "마취-사이몬"의 이론을 중심으로-)

  • 이경희
    • The Journal of Fisheries Business Administration
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    • v.9 no.1
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    • pp.29-46
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    • 1978
  • The Equilibrium Theory is one of the key theories on the study of maintenance and continuance of organization. A contributor or participant of the business organization has been given the needed incucements and motivated to join in business. To keep this situation balanced is, so-called, the organization equilibrium. C. I. Barnard was the first to research this, and that J. G. March and H. A. Simon advanced it. Modern organization theory is not only the equilibrium theory but continuance theory of organization. That is, the continuance of business administration organization relies on the willingness to cooperate with which the participants in business try to devote themselves to business. The organization itself is not only combined with its members and assets but a kind of behaviour system which every member makes an effort to contribute. On a view of dynamics, organization remains, prospers and deceases in process of its formation, disorganization and reformation. But taking consideration into going concern, it is necessary that we should plan to strike a balance of business administration organization. We can write down the proposition of this theory as follows: The continuance and growth of organization=inducements contribution The basic idea of this theory was established by C. I. Barnard. But it implied many problems such as incorrect statistical measures and the defects of objectivity. These problems were more or less rearranged and improved by so-called March-Simon's equilibrium theory. Especially March-Simon's general models of organization equilibrium are a great success in this field. In the future, these problems mentioned above will be a challenge to workers in this field how we shall diminish the defects to the minimum and how perfectly we can progress it.

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Design Sensitivity Analysis of Coupled Thermo-elasticity Problems

  • Choi Jae-yeon;Cho Seonho
    • Journal of Ship and Ocean Technology
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    • v.8 no.3
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    • pp.50-60
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    • 2004
  • In this paper, a continuum-based design sensitivity analysis (DSA) method is developed for the weakly coupled thermo-elasticity problems. The temperature and displacement fields are described in a common domain. Boundary value problems such as an equilibrium equation and a heat conduction equation in steady state are considered. The direct differentiation method of continuum-based DSA is employed to enhance the efficiency and accuracy of sensitivity computation. We derive design sensitivity expressions with respect to thermal conductivity in heat conduction problem and Young's modulus in equilibrium equation. The sensitivities are evaluated using the finite element method. The obtained analytical sensitivities are compared with the finite differencing to yield very accurate results. Extensive developments of this method are useful and applicable for the optimal design problems incorporating welding and thermal deformation problems.

NUMERICAL INVESTIGATION OF INTERACTION BEHAVIOR BETWEEN CAVITATION BUBBLE AND SHOCK WAVE

  • Shin, Byeong-Rog;An, Young-Joon
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03a
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    • pp.215-220
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    • 2008
  • A numerical method for gas-liquid two-phase flow is applied to solve shock-bubble interaction problems. The present method employs a finite-difference Runge-Kutta method and Roe's flux difference splitting approximation with the MUSCL-TVD scheme. A homogeneous equilibrium cavitation model is used. By this method, a Riemann problem for shock tube was computed for validation. Then, shock-bubble interaction problems between cylindrical bubbles located in the liquid and incident liquid shock wave are computed.

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NUMERICAL INVESTIGATION OF INTERACTION BEHAVIOR BETWEEN CAVITATION BUBBLE AND SHOCK WAVE

  • Shin, Byeong-Rog;An, Young-Joon
    • 한국전산유체공학회:학술대회논문집
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    • 2008.10a
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    • pp.215-220
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    • 2008
  • A numerical method for gas-liquid two-phase flow is applied to solve shock-bubble interaction problems. The present method employs a finite-difference Runge-Kutta method and Roe's flux difference splitting approximation with the MUSCL-TVD scheme. A homogeneous equilibrium cavitation model is used. By this method, a Riemann problem for shock tube was computed for validation. Then, shock-bubble interaction problems between cylindrical bubbles located in the liquid and incident liquid shock wave are computed.

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Meshless equilibrium on line method (MELM) for linear elasticity

  • Sadeghirad, A.;Mohammadi, S.;Kani, I. Mahmoudzadeh
    • Structural Engineering and Mechanics
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    • v.35 no.4
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    • pp.511-533
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    • 2010
  • As a truly meshfree method, meshless equilibrium on line method (MELM), for 2D elasticity problems is presented. In MELM, the problem domain is represented by a set of distributed nodes, and equilibrium is satisfied on lines for any node within this domain. In contrary to conventional meshfree methods, test domains are lines in this method, and all integrals can be easily evaluated over straight lines along x and y directions. Proposed weak formulation has the same concept as the equilibrium on line method which was previously used by the authors for enforcement of the Neumann boundary conditions in the strong-form meshless methods. In this paper, the idea of the equilibrium on line method is developed to use as the weak forms of the governing equations at inner nodes of the problem domain. The moving least squares (MLS) approximation is used to interpolate solution variables in this paper. Numerical studies have shown that this method is simple to implement, while leading to accurate results.

AN ITERATIVE SCHEME FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF ASYMPTOTICALLY k-STRICT PSEUDO-CONTRACTIVE MAPPINGS

  • Wang, Ziming;Su, Yongfu
    • Communications of the Korean Mathematical Society
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    • v.25 no.1
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    • pp.69-82
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    • 2010
  • In this paper, we propose an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of an asymptotically k-strict pseudo-contractive mapping in the setting of real Hilbert spaces. We establish some weak and strong convergence theorems of the sequences generated by our proposed scheme. Our results are more general than the known results which are given by many authors. In particular, necessary and sufficient conditions for strong convergence of our iterative scheme are obtained.

WEAK AND STRONG CONVERGENCE THEOREMS FOR AN ASYMPTOTICALLY k-STRICT PSEUDO-CONTRACTION AND A MIXED EQUILIBRIUM PROBLEM

  • Yao, Yong-Hong;Zhou, Haiyun;Liou, Yeong-Cheng
    • Journal of the Korean Mathematical Society
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    • v.46 no.3
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    • pp.561-576
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    • 2009
  • We introduce two iterative algorithms for finding a common element of the set of fixed points of an asymptotically k-strict pseudo-contraction and the set of solutions of a mixed equilibrium problem in a Hilbert space. We obtain some weak and strong convergence theorems by using the proposed iterative algorithms. Our results extend and improve the corresponding results of Tada and Takahashi [16] and Kim and Xu [8, 9].