• 제어로봇시스템학회논문지
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• 제13권2호
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• pp.147-153
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• 2007

The stability robustness problem of linear discrete-time systems with delayed time-varying perturbations is considered. Compared with continuous time system, little effort has been made for the discrete time system in this area. In the previous results, the bounds were derived for the case of non-delayed perturbations. There are few results for delayed perturbation. Although the results are for the delayed perturbation, they considered only the time-invariant perturbations. In this paper, the sufficient conditions for stability can be expressed as linear matrix inequalities(LMIs). The corresponding stability bounds are determined by LMI(Linear Matrix Inequality)-based algorithms. Numerical examples are given to compare with the previous results and show the effectiveness of the proposed results.

• 제어로봇시스템학회논문지
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• 제13권6호
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• pp.581-588
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• 2007

In this paper, we propose a delayed feedback guaranteed cost controller design method for linear time-delay systems with norm-bounded parameter uncertainties and nonlinear perturbations. A quadratic cost function is considered as the performance measure for the given system. Based on the Lyapunov method, an LMI optimization problem is formulated to design a controller such that the closed-loop cost function value is not more than a specified upper bound for all admissible system uncertainties and nonlinear perturbations. Numerical example show the effectiveness of the proposed method.

• Korean Journal of Mathematics
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• 제10권1호
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• pp.53-58
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• 2002

In this paper we consider the Cauchy problem $$dx(t)/dt=x(t)^n,\;x(0)=x_0$$. The domain of existence is lower semicontinuous for perturbations of the data. We present a simple formula for the time of existence which is exact when there exists no perturbations.

• 천문학회지
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• 제29권spc1호
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• pp.11-14
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• 1996

Super-inflation driven by dilaton/moduli kinetic energy is naturally realized in compactified string theory. Discussed are selected topics of recent development in string inflationary cosmology: kinematics of super-inflation, graceful exit triggered by quantum back-reaction, and classical and quantum power spectra of density and metric perturbations.

• 융합신호처리학회논문지
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• 제6권2호
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• pp.59-66
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• 2005

광섬유 전류 센서 특히, 단방향 편광형 광섬유 전류센서(PFOCS)에서 측정전류 정밀도는 센싱 광섬유상의 외부 환경적 변화요인 즉, 음향 진동의 변화와 전류 도체 주위에 감긴 센싱 광섬유 밴딩과 같은 내부적 변화요인에 의해 악영향을 받는다. 이와 같은 변화 요인들은 센서 헤드를 구성하는 센싱 광섬유의 복굴절 특성에 영향을 주어 결국 오전류 측정의 원인이 되고, 따라서, 단방향 PFOCS에 대한 보상 기술인 가역적 PFOCS를 이용하여, 이와 같은 복굴절 변화요인들을 억제할 수 있다. 따라서, 본 논문에서는 가역적 PFOCS의 성능해석을 위해 센싱 광섬유 상에 존재하는 외부 환경적 요인과 내부 요인으로 인한 편광도 오차와 오전류를 수치해석 하였다. 또한, 가역적 PFOCS 구조에서 일반 반사경과 faraday 회전경(FRM)의 사용으로 인한 효과 및 서로 다른 광원의 파장에 대한 효과를 비교하였다. 그 결과, 편광도 오차는 $633{\cal}nm$에서, 일반 반사경 및 FRM을 사용했을 때, 각각 $2.3\%$와 $0.0196\%$로 계산되었고, $1300{\cal}nm$에서 편광도 오차는 각각 $9.87\%,\;0.0196\%$로 계산되었다. 또한, 단방향 PFOCS와 비교한 오전류 수치해석 결과, 일반 반사경 및 FRM을 사용한 경우에 각각 $9.82{\times}10^{-9}A,\;1.4{\times}10^{-17}A$로 단방향 PFOCS의 경우보다 외부 환경변화 및 내부 변화요인에 강인한 센서 구조임이 확인되었다.

• 대한의생명과학회지
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• 제17권2호
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• pp.167-171
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• 2011

[ ${\alpha}$ ]synuclein (${\alpha}$-syn) is implicated in the pathogenesis of Parkinson's disease (PD) and other related diseases. We have previously reported that ${\alpha}$-syn binds to the cell membranes in a transient and reversible manner. However, little is known about the physiologic function and/or consequence of this association. Here, we examined whether chemically induced perturbations to the cellular membranes enhance the binding of ${\alpha}$-syn, based on hypothesis that ${\alpha}$-syn may play a role in maintenance of membrane integrity or repair. We induced membrane perturbations or alterations in ${\alpha}$-syn-overexpressing human neuroblastoma cells (SH-SY5Y) by treating the cells with hydrogen peroxide ($H_2O_2$) or oleic acid. In addition, membranes fractionated from these cells were perturbed by treating them with proteinase K or chloroform. Dynamic interaction of ${\alpha}$-syn to the membranes was analyzed by the chemical cross-linking assay that we developed in the previous study. We found that membrane interaction of ${\alpha}$-syn was increased upon treatment with membrane-perturbing reagents in a dose and time dependent manner. These results suggest that perturbations in the cellular membranes cause increased binding of ${\alpha}$-syn, and this may have significant implication in the physiological function of ${\alpha}$-syn in cells.

• Journal of Astronomy and Space Sciences
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• 제41권2호
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• pp.87-106
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• 2024

The objective of this research is to address the issue of frozen orbits in charged satellites by incorporating geopotential zonal harmonics up to J6 and the initial tesseral harmonics. The employed model starts from the first normalized Hamiltonian to calculate specific sets of long-term frozen orbits for charged satellites. To explore the frozen orbits acquired, a MATHEMATICA CODE is developed. The investigation encompasses extensive variations in orbit altitudes by employing the orbital inclination and argument of periapsis as freezing parameters. The determined ranges ensuring frozen orbits are derived from the generated figures. Three-dimensional presentations illustrating the freezing inclination in relation to eccentricity, argument of periapsis, and semi-major axis parameters are presented. Additional three-dimensional representations of the phase space for the eccentricity vector and its projection onto the nonsingular plane are examined. In all investigated scenarios, the impacts of electromagnetic (EM) field perturbations on the freezing parameters of a charged satellite are demonstrated.

• 한국정밀공학회지
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• 제23권1호
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• pp.121-128
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• 2006

This paper deals with the application of enhanced perturbation estimation (SMCEPE) to sliding mode control of a dynamic system in the presence of perturbations including external disturbances, unpredictable parameter variations, and unstructured dynamics. Compared to conventional sliding mode control (SMC) and sliding mode control with perturbation estimation (SMCPE), the proposed one can offer robust control performances under serious control conditions, such as fast dynamic perturbations and slow loop-closure speeds, without a priori knowledge on upper bounds of perturbations. The perturbation estimator in SHCEPE also has more adaptability owing to the fractional-order hold technique. The effectiveness and superiority of the proposed control strategy are demonstrated by a series of simulations on the position tracking control of a two-link robot manipulator.

• Kyungpook Mathematical Journal
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• 제48권3호
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• pp.503-514
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• 2008

We investigate a three-species food chain system with Lotka-Volterra functional response and impulsive perturbations. In [23], Zhang and Chen have studied the system. They have given conditions for extinction of lowest-level prey and top predator and considered the local stability of lower-level prey and top predator eradication periodic solution. However, they did not give a condition for permanence, which is one of important facts in population dynamics. In this paper, we establish the condition for permanence of the three-species food chain system with impulsive perturbations. In addition, we give some numerical examples.

• 한국우주과학회:학술대회논문집(한국우주과학회보)
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• 한국우주과학회 1992년도 한국우주과학회보 제2권1호
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• pp.20-20
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• 1993

An accurate prediction of the satellite ground track is essential to optimise the maneuver design. It requres a prediction model that considers all perturflations that cause significant variations in the satellite ground track. We developed a prediction model that includes the effects of the fifth-order zonal harmonics, atmospheric drag, and luni-solar gravitational perturbations. Luni-solar gravity perturbations have been obtained in an ether way which is different from the method we used in previous paper(Yi and Choi, 1992). In this case, we consrtuct our own disturbing fuction including inclination term by the Algebraic Manipulation. Luni-solar perturbations reduce the maneuver magnitude required to offset eastward ground track drift due to drag, the amount dependent on current luni-solar phasing geometry.