• Title/Summary/Keyword: Controllability

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Controllability for the Impulsive Semilinear Fuzzy Integrodifferential Equations with Nonlocal Conditions (비국소조건을 가지는 충격 준선형퍼지적분미분방정식에 대한 제어 가능성)

  • Kwun, Young-Chel;Ahn, Young-Chel;Park, Dong-Gun;Kim, Seon-Yu
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2006.11a
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    • pp.275-278
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    • 2006
  • In this paper. we study the controllability for the impulsive semilinear fuzzy integrodifferential equations with nonlocal condition in $E_{N}$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_{N}$.

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COMPLETE CONTROLLABILITY OF SEMILINEAR STOCHASTIC INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY AND POISSON JUMPS

  • D.N., CHALISHAJAR;A., ANGURAJ;K., RAVIKUMAR;K., MALAR
    • Journal of Applied and Pure Mathematics
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    • v.4 no.5_6
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    • pp.299-315
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    • 2022
  • This manuscript deals with the exact (complete) controllability of semilinear stochastic differential equations with infinite delay and Poisson jumps utilizing some basic and readily verified conditions. The results are obtained by using fixed-point approach and by using advance phase space definition for infinite delay part. We have used the axiomatic definition of the phase space in terms of stochastic process to consider the time delay of the system. An infinite delay along with the Poisson jump is the new investigation for the given stochastic system. An example is given to illustrate the effectiveness of the results.

A NOTE ON THE NONLOCAL CONTROLLABILITY OF HILFER FRACTIONAL DIFFERENTIAL EQUATIONS VIA MEASURE OF NONCOMPACTNESS

  • C.S.V. BOSE;V. SESUM-CAVIC;R. UDHAYAKUMAR;B.A. NISHA;S. AL-OMARI;M.H. KISHOR
    • Journal of applied mathematics & informatics
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    • v.42 no.2
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    • pp.399-415
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    • 2024
  • We looked at nonlocal controllability for Hilfer fractional differential equations with almost sectorial operator in this manuscript. We show certain necessary criteria for nonlocal controllability using the measure of noncompactness and the Mönch fixed point theorem. Finally, we provided theoretical and practical applications are given to demonstrate how the abstract results might be applied.

The Effect of Quartz Liner in Rapid Thermal Nitridation Process for Chamber Contamination Control

  • Yun, Jin-Hyeok;Park, Se-Geun;Lee, Yeong-Ho
    • Proceedings of the Korean Vacuum Society Conference
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    • 2015.08a
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    • pp.195-195
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    • 2015
  • 반도체 제조 시 ohmic contact을 형성하고, barrier metal layer형성을 위해 NH3 기체를 사용하는 rapid thermal nitridation (RTN)은 반도체 공정에 있어 매우 중요한 핵심 기술이다. 그러나 공정 진행 시 발생하는 공정 부산물에 의한 chamber오염으로 인해 매우 정확히 입사 되어야 할 thermal energy의 controllability가 저하되고 있어, 미세 공정능력 구현의 한계에 부닥치고 있다. 본 연구에서는 quartz plate liner를 적용하여 RTN 공정에서 발생하는 공정 부산물인 ammonium chloride (NH4Cl)의 chamber 표면 증착을 최소화하였고, 공정 진행 온도의 controllability를 확보하였다.

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Controllability Evaluation and Tuning of Gas Stripper System (탈기기계통의 제어성 평가와 튜닝)

  • Lee, Kwang-Dae;Yang, Seung-Ok;Oh, Eung-Se
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.638-640
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    • 2004
  • The gas stripper system of a nuclear power plant provides gas-free water to a reactor and a turbine system. The gas tripper unit has two control systems to regulate pressure and level independently. Because the level and the pressure interact as a control disturbance each other, continuous operation of the system is difficult. In this paper, We describe the controllability evaluation of the gas stripper system and the results of the optimally tuned control gains.

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CONTROLLABILITY FOR SEMILINEAR FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS

  • Jeong, Jin-Mun;Kim, Han-Geul
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.3
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    • pp.463-475
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    • 2009
  • This paper deals with the regularity properties for a class of semilinear integrodifferential functional differential equations. It is shown the relation between the reachable set of the semilinear system and that of its corresponding linear system. We also show that the Lipschitz continuity and the uniform boundedness of the nonlinear term can be considerably weakened. Finally, a simple example to which our main result can be applied is given.

MULTIPLE VALUED ITERATIVE DYNAMICS MODELS OF NONLINEAR DISCRETE-TIME CONTROL DYNAMICAL SYSTEMS WITH DISTURBANCE

  • Kahng, Byungik
    • Journal of the Korean Mathematical Society
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    • v.50 no.1
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    • pp.17-39
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    • 2013
  • The study of nonlinear discrete-time control dynamical systems with disturbance is an important topic in control theory. In this paper, we concentrate our efforts to multiple valued iterative dynamical systems, which model the nonlinear discrete-time control dynamical systems with disturbance. After establishing the validity of such modeling, we study the invariant set theory of the multiple valued iterative dynamical systems, including the controllability/reachablity problems of the maximal invariant sets.

CONTROLLABILITY OF NONLINEAR DELAY PARABOLIC EQUATIONS UNDER BOUNDARY CONTROL

  • Park, Jong-Yeoul;Kwun, Young-Chel;Jeong, Jin-Mun
    • Journal of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.333-346
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    • 1996
  • Let $A(\zeta, \partial)$ be a second order uniformly elliptic operator $$ A(\zeta, \partial )u = -\sum_{j, k = 1}^{n} \frac{\partial\zeta_i}{\partial}(a_{jk}(\zeta)\frac{\partial\zeta_k}{\partial u}) + \sum_{j = 1}^{n}b_j(\zeta)\frac{\partial\zeta_j}{\partial u} + c(\zeta)u $$ with real, smooth coefficients $a_{j, k}, b_j$, c defined on $\zeta \in \Omega, \Omega$ a bounded domain in $R^n$ with a sufficiently smooth boundary $\Gamma$.

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Placement of actuator for efficient modal control (효율적 모우드 제어를 위한 구동기 위치 결정법)

  • 노현석;박영진
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.47-51
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    • 1993
  • A method of finding the optimal actuator location for efficient control of the modes of interest is presented. The proposed approach relies on certain quantitive measure of degree of controllability based on the controllability grammian. This measure proves to be useful for regulating problem of the undamped system and can be extended to cover the tracking problem of the viscous damped system. The example of the uniform cantilever beam is given to verify the effectiveness of the method.

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Supervisor for Real-Time Nondeterministic Discrete Event Systems Under Bounded Time Constraints

  • Park, Seong-Jin;Cho, Kwang-Hyun;Lim, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.104.4-104
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    • 2001
  • This paper addresses a supervisory control problem to meet bounded time constraints in real-time nondeterministic discrete event systems (DESs) represented as timed transition models. For a timed language specification representing a bounded time constraint, this paper introduces the notions of trace-controllability and time-controllability. Based on the notions, this paper presents the necessary and sufficient conditions for the existence of a supervisor for a real-time nondeterministic DES to achieve the specification.

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