• 제목/요약/키워드: Linear Stability

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Stabilization of Piecewise-Linear Systems with Unknown Switching Information

  • Lee, G.D.;Kim, S.W.
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.533-533
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    • 2000
  • Stabilization of piecewise-linear systems with unknown switching information is presented. The current subsystem is identified from the output, and the identified subsystem is used for the observer-based control. The stability of the overall system is proven and the performance is evaluated via a simulation.

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APPROXIMATE LINEAR MAPPING OF DERIVATION-TYPE ON BANACH ∗-ALGEBRA

  • Chang, Ick-Soon
    • Journal of the Chungcheong Mathematical Society
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    • v.32 no.2
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    • pp.195-205
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    • 2019
  • We consider additive mappings similar to derivations on Banach ${\ast}$-algebras and we will first study the conditions for such additive mappings on Banach ${\ast}$-algebras. Then we prove some theorems concerning approximate linear mappings of derivation-type on Banach ${\ast}$-algebras. As an application, approximate linear mappings of derivation-type on $C^{\ast}$-algebra are characterized.

Dynamic Stability Analysis of Patients with Degenerative Osteoarthritise during Walking (보행 시 퇴행성 관절염 환자의 동적 안정성 분석)

  • Ryu, Ji-Seon
    • Korean Journal of Applied Biomechanics
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    • v.18 no.1
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    • pp.21-30
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    • 2008
  • The purpose of this study was to investigate the variability to compare local dynamic stability via a linear and nonlinear analysis during walking. Twenty four elderly males, 12 healthy elderly and 12 patients with osteoarthritise walked on a treadmill for 100 consecutive strides. Lyapunov exponent and correlation dimension and coefficient variation were calculated for the kinematic parameters to determine the dynamic stability during walking. The linear measures indicated that the healthy elderly demonstrated significantly higher variability in the ankle joint displacement. The nonlinear analysis revealed that COD for the knee joint angle were higher in patient with osteoarthritise. There were no coincidence in results between linear and nonlinear techniques over two groups. In light of nonlinear analysis, it was concluded that patients with osteoathritise showed higher local instability during walking.

Non-linear Shimmy Analysis of a Nose Landing Gear with Friction (마찰을 고려한 노즈 랜딩기어의 비선형 쉬미 해석)

  • Yi, Mi-Seon;Bae, Jae-Sung;Hwang, Jae-Hyuk
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.39 no.7
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    • pp.605-611
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    • 2011
  • Shimmy is a self-excited vibration in lateral and torsional directions of a landing gear during either the take-off or landing. It is caused by a couple of conditions such as a low torsional stiffness of the strut, a free-play in the landing gear, a wheel imbalance, or worn parts, and it may make the aircraft unstable. This study was performed for an analysis of the shimmy stability on a small aircraft. A nose landing gear was modeled as a linear system and characterized by state-equations which were used to analyze the stability both in the frequency and time-domain for predicting whether the shimmy occurs and investigating a good design range of the important parameters. The root-locus method and the 4th Runge-Kutta method were used for each analysis. Because the present system has a simple mechanism using a friction to reinforce the stability, the friction, a non-linear factor, was linearized by a describing function and considered in the analysis and observed the result of the instability reduction.

Sinusoidal A Study on the gain Stability of the Feedback Linear Pulse Amplifiers for Fast Pulse Input (금속펄스 선형증폭기의 빠른 입력펄스에 대한 이득안정도에 관한 연구)

  • 이병선
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.11 no.3
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    • pp.1-14
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    • 1974
  • The gain stability of the nuclear pulse linear amplifiers with feedback for such a fast pulse input as the step voltage or the nuclear radiation detector pulse is analysed in detail. The expression is derived which describes the waveform at the anode circuit of the photomultiplier tube which is a part of the nuclear radiation detector. It is analysed and compared when the feedback amplifier has one and two time-constants. When these fast input pulse voltages are applied to the feedback amplifier, the effects of feedback in linearity and stability of the output voltage appear only after two or three rise-times of the amplifier, And it is proved that in order to reduce this limitation, the rise time of the feedback amplifier shou1d be less than the input pulse width. It is also shown that the above theory can be applied directly to the voltage-shunt feedback amplifier stages designed as the basic amplifier of the linear amplifier, and that the gain stability is more improved for the smaller input impedance of this amplifier stage.

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Linear Stability Analysis of a Baffled Rocket Combustor (배플이 장착된 로켓 연소기의 선형 안정성 해석)

  • Lee, Soo Yong
    • Journal of the Korean Society of Propulsion Engineers
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    • v.22 no.3
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    • pp.46-52
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    • 2018
  • A simple Crocco's $n-{\tau}$ time delay model and linear analysis of fluid flow coupled with acoustics are combined to investigate the high frequency combustion instability in the combustion chamber of LOX/hydrocarbon engines. The partial differential equation of the velocity potential is separated into ordinary differential equations, and eigenvalues that correspond to tangential resonance modes in the cylindrical chamber are determined. A general solution is obtained by solving the differential equation in the axial direction, and boundary conditions at the injector face and nozzle entrance are applied in order to calculate the chamber admittance. Frequency analysis of the transfer function is used to evaluate the stability of system. Stability margin is determined from the system gain and phase angle for the desired frequency range of 1T mode. The chamber model with variable baffle length and configurations are also considered in order to enhance the 1T mode stability of the combustion chamber.

Non-linear Shimmy Analysis of a Nose Landing Gear with Free-play (유격을 고려한 노즈 랜딩기어의 비선형 쉬미 해석)

  • Yi, Mi-Seon;Hwang, Jae-Up;Bae, Jae-Sung;Hwang, Jae-Hyuk
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.38 no.10
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    • pp.973-978
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    • 2010
  • In this paper, we studied the shimmy phenomena of an aircraft nose landing gear considering free-play. Shimmy is a self-excited vibration in lateral and torsional directions of a landing gear during either the take-off or landing. This phenomena is caused by a couple of conditions such as low torsional stiffness of the strut, friction and free-play in the gear, wheel imbalance, or worn parts, and it may make an aircraft unstable. Free-play non-linearity is linearized by the described function for a stability analysis in a frequency domain, and time marching is performed using the fourth-order Runge-Kutta method. We performed the numerical simulation of the nose landing gear shimmy and investigated its linear and nonlinear characteristics. From the numerical results, we found limit-cycle-oscillations at the speed under linear shimmy speed for the case considering free-play and it can be concluded that the shimmy stability can be decreased by free-play.