• Title/Summary/Keyword: stability problem

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Relationship Between Problem Solving Ability and Emotional Stability in Preschool Children (유아기 아동의 문제해결능력과 정서적 안정과의 관계)

  • Park, Kyung Mee;Woo, Nam Hee
    • Korean Journal of Child Studies
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    • v.18 no.2
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    • pp.267-282
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    • 1997
  • The purpose of this study was to examine (1) problem solving processes, and (2) the relationship between problem solving abilities and emotional stability in preschool children. Sixty children, 4, 5, and 6 years of age were selected as subjects from 2 kindergartens. Their problem solving abilities were assessed with the Sink and Float activity and their emotional stability was measured with the House-Tree-Person test. General abilities for problem solving developed with increase in children's age. That is, age differences were found in all 3 problem solving processes of generating, testing, and applying hypotheses. No differences between sexes or kindergarten program were found. Children's emotional stability was significantly related to problem solving ability. While the relationship between emotional stability and processes of generating and applying hypotheses was not significant, emotionally stable children performed better in free play.

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STABILITY OF EQUIVALENT PROGRAMMING PROBLEMS OF THE MULTIPLE OBJECTIVE LINEAR STOCHASTIC PROGRAMMING PROBLEMS

  • Cho, Gyeong-Mi
    • Journal of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.259-268
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    • 1998
  • In this paper the stochastic multiple objective programming problems where the right-hand-side of the constraints is stochastic are considered. We define the equivalent scalar-valued problem and study the stability of the equivalent scalar-valued problem with respect to the weight parameters and probability mesures under reasonable assumptions.

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REFINED HYERS-ULAM STABILITY FOR JENSEN TYPE MAPPINGS

  • Rassias, John Michael;Lee, Juri;Kim, Hark-Mahn
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.1
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    • pp.101-116
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    • 2009
  • In 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved the well-known Ulam stability problem for additive mappings subject to the Hyers condition on approximately additive mappings. In this paper we improve results for Jensen type mappings and establish new theorems about the Ulam stability of additive and alternative Jensen type mappings.

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ON THE IMPROVED INSTABILITY REGION FOR THE CIRCULAR RAYLEIGH PROBLEM OF HYDRODYNAMIC STABILITY

  • G. CHANDRASHEKHAR;A. VENKATALAXMI
    • Journal of applied mathematics & informatics
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    • v.41 no.1
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    • pp.155-165
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    • 2023
  • We consider circular Rayleigh problem of hydrodynamic stability which deals with linear stability of axial flows of an incompressible iniviscid homogeneous fluid to axisymmetric disturbances. For this problem, we obtained two parabolic instability regions which intersect with Batchelor and Gill semi-circle under some condition. This has been illustrated with examples. Also, we derived upper bound for the amplification factor.

A Stability Region of Time-varying Perturbations by Using Generalized Eigenvalue Problem (일반화된 고유치 문제를 이용한 시변 섭동의 안정 범위)

  • Lee, Dal-Ho;Han, Hyung-Seok
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.11
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    • pp.901-906
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    • 2005
  • The stability robustness problem of continuous linear systems with nominal and delayed time-varying perturbations is considered. In the previous results, the entire bound was derived only for the overall perturbations without separation of the perturbations. In this paper, the sufficient condition for stability of the system with two perturbations, which are nominal and delayed, is expressed as linear matrix inequalities(LMIs). The corresponding stability bounds fer those two perturbations are determined by LMI(Linear Matrix Inequality)-based generalized eigenvalue problem. Numerical examples are given to compare with the previous results and show the effectiveness of the proposed.

Design of a robust $H_{\infty}$ controller with regional stability constraints for uncertain linear systems (불확실한 선형 시스템의 지역 안정 제한 조건을 가진 강인한 $H_{\infty}$제어기의 설계)

  • 이문노;문정호;정명진
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.747-750
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    • 1996
  • This paper considers the problem of robust H$_{\infty}$ control with regional stability constraints via output feedback to assure robust performance for uncertain linear systems. A robust H$_{\infty}$ control problem and the generalized Lyapunov theory are introduced for dealing with the problem, The output feedback H$_{\infty}$ controller makes the controlled outputs settle within a given bound and the control input not to be saturated. The regional stability constraints problem for uncertain systems can be reduced to the problem for the nominal systems by finding sufficient bounds of variations of the closed-loop poles due to modeling uncertainties. A controller design procedure is established using the Lagrange multiplier method. The controller design technique was illustrated on the track-following system of a optical disk drive.ve.

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On the hyers-ulam-rassias stability of the equation $f( -

  • Jung, Soon-Mo
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.513-519
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    • 1996
  • The stability problem of functional equations has been originally raised by S. M. Ulam. In 1940, he posed the following problem: Give conditions in order for a linear mapping near an approximately additive mapping to exist (see [9]).

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AN ASYMPTOTIC STABILITY INVOLVING COLLISION AND AVOIDANCE

  • Ha, Jun-Hong;Shim, Jae-Dong
    • Journal of applied mathematics & informatics
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    • v.8 no.3
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    • pp.829-840
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    • 2001
  • Generally it is not easy task whether the stable systems governed by nonlinear ordinary differential equations are asymptotically stable or not. This problem often appears in studying a collision and avoidance control problem based on the stability theory. In this paper we devoted to finding conditions that the stable system obtained from the collision and avoidance control problem is asymptotically stable.