• Title, Summary, Keyword: controllability

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REMARK ON THE CONTROLLABILITY FOR SEMILINEAR EVOLUTION EQUATIONS

  • Jeong, Jin-Mun
    • East Asian mathematical journal
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    • v.29 no.5
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    • pp.481-489
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    • 2013
  • In this paper we deal with approximate controllability for semilinear system in a Hilbert space. In order to obtain the controllability, we assume that the system of the generalized eigenspaces of the principal operator is complete in the state space, which has a simple form and can be applied to many examples. Because of its simple form, some examples of controllability of the systems governed by the semilinear equations will be given.

STABILITY AND CONSTRAINED CONTROLLABILITY OF LINEAR CONTROL SYSTEMS IN BANACH SPACES

  • Phat, Vu-Ngoc;Park, Jong-Yeoul;Jung, Il-Hyo
    • Journal of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.593-611
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    • 2000
  • For linear time-varying control systems with constrained control described by both differential and discrete-time equations in Banach spaces was give necessary and sufficient conditions for exact global null-controllability. We then show that for such systems, complete stabilizability implies exact null-controllability.

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CONTROLLABILITY OF STOCHASTIC FUNCTIONAL INTEGRODIFFERENTIAL EVOLUTION SYSTEMS

  • Kokila, J.;Balachandran, K.
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.587-601
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    • 2011
  • In this paper, we prove the existence and uniqueness of mild solution for stochastic functional integrodifferential evolution equations and derive sufficient conditions for the controllability results. As an illustration we consider the controllability for a system governed by a random motion of a string.

The Study on Selection of human Model for Controllability Evaluation According to Working Postures

  • Kim, Do-Hoon;Park, Sung-Joon;Lim, Young-Jae;Jung, Eui-S.
    • Journal of the Ergonomics Society of Korea
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    • v.31 no.3
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    • pp.437-444
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    • 2012
  • The purpose of this study was to suggest appropriate human model for ergonomic evaluation considering working postures on 3D space. Background: Traditionally extreme design rules have been widely utilized at the stage of designing products. Body size of 5th percentile and 95th percentile in stature has been generally selected for controllability and clearance evaluation, respectively. However, these rules had limitations in reflecting working posture in ergonomic evaluation. Method: In order to define working posture on 3D space, not only sagittal plane but also lateral plane was considered. Kinematic linkage body model was utilized for representation of working posture. By utilizing the anthropometric data of 2,836 South Korean male populations, the point cloud for end points of linkage models was derived. The individuals who were lacking in certain controllability were selected as human models for the evaluation. Result: In case of standing posture it was found that conventional approach is proper for all controllability evaluations. Contrary to standing posture, tall people had less controllability on control location below shoulder point in sitting posture. Conclusion: From the derived proper range on controllability, ergonomic evaluation rule was suggested according to working posture especially in standing and sitting. Application: The results of the study are expected to aid in selection of appropriate human model for ergonomic evaluation and to improve the usability of products and work space.

CONTROLLABILITY OF SECOND ORDER SEMI-LINEAR NEUTRAL IMPULSIVE DIFFERENTIAL INCLUSIONS ON UNBOUNDED DOMAIN WITH INFINITE DELAY IN BANACH SPACES

  • Chalishajar, Dimplekumar N.;Acharya, Falguni S.
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.4
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    • pp.813-838
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    • 2011
  • In this paper, we prove sufficient conditions for controllability of second order semi-linear neutral impulsive differential inclusions on unbounded domain with infinite delay in Banach spaces using the theory of strongly continuous Cosine families. We shall rely on a fixed point theorem due to Ma for multi-valued maps. The controllability results in infinite dimensional space has been proved without compactness on the family of Cosine operators.

CONTROLLABILITY RESULTS FOR IMPULSIVE NEUTRAL EVOLUTION DIFFERENTIAL SYSTEMS

  • Selbi, S.;Arjunan, M. Mallika
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.16 no.2
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    • pp.93-105
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    • 2012
  • In this paper, we consider the controllability of a certain class of impulsive neutral evolution differential equations in Banach spaces. Sufficient conditions for controllability are obtained by using the Hausdorff measure of noncompactness and Monch fixed point theorem under the assumption of noncompactness of the evolution system.

Output feedback left eigenstructure assignment considering controllability and disturbance suppressibility measures (가제어성 및 외란 가억제성 척도를 고려하는 출력되먹임 고유구조 지정)

  • Choi, Jae-Weon;Lee, Jang-Gyu;Kim, You-Dan;Gang, Tae-Sam
    • Journal of Institute of Control, Robotics and Systems
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    • v.1 no.2
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    • pp.71-77
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    • 1995
  • The control effectiveness and disturbance suppressibility are mainly governed by a left eigenstructure of a system. In this paper, a control algorithm which uses an output feedback eigenstructure assignment scheme is proposed in order that a desired closed-loop system has the specified degree of controllability and/or degree of disturbance suppressibility. To do this, a modal and a gross disturbance suppressibility measures are proposed. A modified version of Hamdan and Nayfeh's modal controllability measure is also presented. The validity and usefulness of the proposed measures and the controller design algorithm are illustrated by designing a controller for a third-order system as an example.

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The Perceived Controllability of Stress Situations and Children's Coping with Hassles (스트레스 상황에 대한 지각된 통제감과 아동의 스트레스 대처행동)

  • Min, Ha Young;Yoo, An Jin
    • Korean Journal of Child Studies
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    • v.20 no.1
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    • pp.61-77
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    • 1999
  • This study investigated characteristics of children's coping behaviors in the context of perceived controllability of stress in hassles with parent(s), friend-alienation, friend-conflict, and in learning situations. The subjects were 489 sixth grade children selected from seven elementary schools in Seoul. Statistical analysis was by ANOVA, Scheffe' test, and MANOVA. Major findings were that (1) Active, passive, aggressive, and avoidant coping differed by perceived controllability of stress in all 4 stress situations. The children who perceived a higher level of controllability were more active, and less passive, aggressive, and avoidant in coping with each hassle. (2) Perceived controllability was higher in learning related than in friend-conflict situations. Active, passive, and social support seeking coping behavior was higher in learning related stress situations than in friend-conflict situations. Avoidant coping behavior was lower in learning related than in friend-conflict situations.

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