• 제목/요약/키워드: Asymptotically Stable

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여러 시간스케일로 분리 가능한 대규모 스토캐스틱 시스템의 준 최적 조정기의 설계 (Design of sub-optimal regulators for the large-scale stochastic system with time-scale separation properties)

  • 이종효;전기준
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1986년도 한국자동제어학술회의논문집; 한국과학기술대학, 충남; 17-18 Oct. 1986
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    • pp.550-553
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    • 1986
  • This paper presents a procedure for the time-scale separation and a design method for the sub-optimal composite regulator and Kalman filter of the large-scale discrete stochastic system with two time-scale properties. Provided that the fast sub-system is asymptotically stable, the reduced-order regulator and Kalman filter for the slow sub-system with dominant modes is designed as a sub-optimal regulator for the system.

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ASYMPTOTIC PROPERTY FOR NONLINEAR PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS

  • Im, Dong Man;Goo, Yoon Hoe
    • 충청수학회지
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    • 제29권1호
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    • pp.1-11
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    • 2016
  • This paper shows that the solutions to nonlinear perturbed functional differential system $$y^{\prime}=f(t,y)+{\int}^t_{t_0}g(s,y(s),Ty(s))ds+h(t,y(t))$$ have the asymptotic property by imposing conditions on the perturbed part ${\int}^t_{t_0}g(s,y(s),Ty(s))ds,h(t,y(t))$ and on the fundamental matrix of the unperturbed system y' = f(t, y).

변형된 선합성수 디지털 필터의 안정도 해석 (Stability Analysis of Modified Coupled-Form Digital Filter Using a Constructive Algorithm)

  • 남부희;김남호
    • 대한전기학회논문지
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    • 제34권11호
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    • pp.430-435
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    • 1985
  • Using the constructive algorithm proposed by Brayton and Tong, we analyze the stability of a modified coupled-form digital filter with quantization and overflow nonlinearities, and find the regions in the parameter plane where the filter is globally asymptotically stable. In these regions, the absence of zero-input limit cycles is ensured. This constructive algorithm gives less conservative stability results than the application of Jury-Lee stability criterion does.

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LQ Regulator of Systems with Multiple Time-Delays by Memoryless Feedback

  • Kubo, Tomohiro
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1998년도 제13차 학술회의논문집
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    • pp.373-378
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    • 1998
  • A method to construct a memoryless feedback law for systems with multiple time-delays in the states is proposed. As a plant model, a differential-difference equation with multiple delayed terms is introduced, A stabilizability condition by memoryless feedback is presented. A feedback gain is calculated with a solution of a finite dimensional Riccati equation. It is shown that the resulting closed loop system is asymptotically stable, and moreover, it is a linear quadratic regulator for some cost functional. An alternative stabilizability condition which is easier to check is given.

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Lyapunov 함수에 의한 대규모 열차 시스템의 안정화 (Stabilization of Multilocomotive Powered Train System Using Lyapunov Functions)

  • 남부희
    • 산업기술연구
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    • 제11권
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    • pp.33-41
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    • 1991
  • Using the Brayton and Tong's computer-generated Lyapunov functions, we stabilize the multilocomotive train system so that the system is globally asymptotically stable. We decompose an interconnected system into the second order subsystems. Lyapunov functions of the free subystems are constructed using the Brayton and Tong's algorithm. An aggregated test matrix is determined in terms of the qualitative properties of the free subsystems and the interconnecting structures. Stated feedback is used for stabilizing the entire system.

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성형 시변 시스템의 점근적 안정성 (Asymptotic Stability of Linear Time-Varying Systems)

  • 김종훈
    • 대한전기학회논문지
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    • 제40권12호
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    • pp.1269-1272
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    • 1991
  • New Sufficient conditions for linear time varying systems to be asymptotically stable are presented by using the Lyapunov function approach. One is the generalized version of the previous result, and the other is obtained using the Lyapunov function theorem and matrix properties. Also we compare the presented results with the previous results with the previous results and provide examples to show the usefulness of our results.

실 매개변수 불확실성을 가진 선형시스템의 외란 감소 (Disturbance Attenuation for Linear Systems with Real Parametric Uncertainties)

  • 류석환
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1994년도 추계학술대회 논문집 학회본부
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    • pp.362-365
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    • 1994
  • This paper deals with the disturbance attenuation problem for linear systems with real parametric uncertainties. When there are time invariant parameter uncertainties whose sizes are bounded, a less conservative output feedback controller is constructed such that the closed loop system is asymptotically stable and achieves the prescribed disturbance attenuation level for all allowable parameter uncertainties. In order to demonstrate efficacy of the design method a numerical example is presented.

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ASYMPTOTICAL BEHAVIORS OF A DIFFUSIVE PREDATOR-PREY SYSTEM WITH RATIO-DEPENDENT FUNCTIONAL RESPONSE AND MATURATION DELAY

  • Wonlyul Ko
    • 충청수학회지
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    • 제36권1호
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    • pp.39-53
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    • 2023
  • In this paper, we consider a delayed ratio-dependent predator-prey reaction-diffusion system with homogenous Neumann boundary conditions. We study the existence of nonnegative solutions and the stability of the nonnegative equilibria to the system. In particular, we provide a sufficient condition for the positive equilibrium to be globally asymptotically stable.

Symmerge 알고리즘의 복잡도 (Complexity of the Symmerge Algorithm)

  • 김복선
    • 한국지능시스템학회논문지
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    • 제18권2호
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    • pp.272-277
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    • 2008
  • [ $m{\leq}n$ ]을 만족하는 m과 n을 두 입력수열이라고 했을 때 Symmerge는 비교횟수와 관련해 복잡도 $O(m{\log}{\frac{n}{m}})$를 필요로 하는 stable minimum storage 머징 알고리즘이다. 그러므로 비교횟수와 관련된 머징의 점근적 하계 ${\Omega}(m{\log}{\frac{n}{m}})$에 의해 Symmerge 알고리즘은 최적 알고리즘에 해당함을 알 수 있다. Symmerge는 두 입력수열의 분할 (partition)과 로테이션 (rotation)을 통해 얻어지는 수열들에 알고리즘의 재귀적 콜 (recursive call)이 적용되는 divide 와 conquer 기술을 이용한다. 이로 인해 수열들이 반복해서 분할과 로테이션 되는데 특히 재귀의 깊이가 m-1 가 되는 경우에 있어서 두 입력수열의 길이의 관계를 알아보고자 한다.

쌍선형 시스템의 추종 성능 강화를 위한 예측 제어 알고리즘 (Enhancing Tracking Performance of a Bilinear System using MPC)

  • 김석균;김정수;이영일
    • 제어로봇시스템학회논문지
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    • 제21권3호
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    • pp.237-242
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    • 2015
  • This paper presents a method to enhance tracking performance of an input-constrained bilinear system using MPC (Model Predictive Control) when a feasible tracking control is known. Since the error dynamics induced by the known tracking control is asymptotically stable, there exists a Lyapunov function for the stable error dynamics. By defining a cost function including the Lyapunov function and describing tracking performance, an MPC law is derived. In simulation, the performance of the proposed MPC law is demonstrated by applying it to a converter model.