• Journal of applied mathematics & informatics
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• 제29권3_4호
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• pp.901-908
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• 2011

In this paper, we establish a sharp condition of global existence for the solution of the Gross-Pitaevskii equation with an angular momentum rotational term. This condition is related to the ground state solution of some steady-state nonlinear Schrodinger equation.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 22-24 Oct. 1991
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• pp.55-59
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• 1991

This paper presents a method for designing a full state feedback linear static control law. This will stabilize a given linear uncertain system and also guarantee the performance of the system. The uncertain systems are described by state equation which contains uncertain parameters in system and input distribution matrices. The method is based on the guaranteed cost control of Chang and Peng(1972). The controller gain can be obtained by the solution of a algebraic Riccati equation in which the input weighting matrices depend on the uncertainty bounds. The algebraic Riecati equation in this paper is same as that of weighted LQ regulator problem.

• 충청수학회지
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• 제33권4호
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• pp.445-468
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• 2020

A long-time behavior of global solutions for a dispersive-dissipative equation with time-dependent damping terms is investigated under null Dirichlet boundary condition. By virtue of an appropriate new Lyapunov function and the Lojasiewicz-Simon inequality, we show that any global bounded solution converges to a steady state and get the rate of convergence as well, when damping coefficients are integrally positive and positive-negative, respectively. Moreover, under the assumptions on on-off or sign-changing damping, we derive an asymptotic stability of solutions.

• 대한전기학회논문지
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• 제39권8호
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• pp.792-804
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• 1990

This paper describes an efficient optimization algorithm by calculating sensitivity function for power system stabilization. In power system, the dynamic performance of exciter, governor etc. following a disturbance can be presented by a nonlinear differential equation. Since a nonlinear equation can be linearized for small disturbances, the state equation is expressed by a system matrix with system parameters. The objective function for power system operation will be related to the system parameter and the initial state at the optimal control condition for control or stabilization. The object function sensitivity to the system parameter can be considered to be effective in selecting the optimal parameter of the system.

• Earthquakes and Structures
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• 제8권1호
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• pp.101-132
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• 2015

This research formulates a closed-form equation to predict a glass panel cracking failure drift for several curtain wall and storefront systems. An evaluation of the ASCE 7-10 equation for Dclear, which is the drift corresponding to glass-to-frame contact, shows that the kinematic modeling assumed for formulation of the equation is sound. The equation proposed in this paper builds on the ASCE equation and offers a revision of that equation to predict drift corresponding to cracking failure by considering glazing characteristics such as glass type, glass panel configuration, and system type. The formulation of the proposed equation and corresponding analyses with the ASCE equation is based on compiled experimental data of twenty-two different glass systems configurations tested over the past decade. A final comparative analysis between the ASCE equation and the proposed equation shows that the latter can predict the drift corresponding to glass cracking failure more accurately.

• 대한수학회지
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• 제34권4호
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• pp.1019-1028
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• 1997

The integral solution for a deterministic evolution equation was introduced by Benilan. Similarly, in this paper, we define the integral solution for a stochastic evolution equation with a state-dependent diffusion term and prove that there exists a unique integral solution of the stochastic evolution euation under some conditions for the coefficients. Moreover we prove that this solution is a unique strong solution.

• Korean Chemical Engineering Research
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• 제43권5호
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• pp.637-640
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• 2005

극성과 비극성의 물질인 methyl tert-butyl ether(MTBE)와 2,2,4-trimethylpentane 혼합물과 methyl ethyl ketone(MEK)와 2,2,4-trimethylpentane 2성분의 액체혼합물 그리고 극성의 물질인 MTBE과 MEK 2성분 액체혼합물의 밀도를 densitometer를 사용하여 278.15 K, 288.15 K, 298.15 K에서 각각 측정하였다. 측정한 밀도로부터 얻은 2성분계 과잉몰부피의 측정값과 Huron-Vidal의 혼합법칙을 사용한 Peng-Robinson-Stryjek-Vera(PRSV)의 3차 상태방정식으로부터 계산한 계산값이 잘 일치하였으며 극성물질을 포함한 혼합물의 몰부피 계산에 3차의 PRSV 상태방정식이 이용될 수 있음을 확인하였다.

• 한국정밀공학회지
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• 제26권10호
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• pp.81-88
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• 2009

Bellows is used to control temperature of a Joule-Thomson micro cryocooler. It is made of Nickelcobalt alloy that retains mechanical properties from cryogenic temperature to temperature of 570K. The geometry of bellows is an axisymmetric shell and Nitrogen with high pressure was charged at temperature of 293K. During cool-down process, the pressure and volume of Nitrogen are changed and must be satisfied with state equation. At cryogenic temperature, Nitrogen can exist as a part liquid and part vapor. Pressure-density-temperature behavior under this vaporliquid phase equilibrium is closely given by the Modified-Benedict-Webb-Rubin(MBWR) state equation. To evaluate deformation of bellows for temperature change, the numerical calculation of the volume within bellows and finite element analysis of bellows under internal pressure were iteratively performed until MBWR state equation is satisfied. The numerical results show that deformation of the bellows can be analyzed by the present method in a wide range of temperature including cryogenic temperature.

• 전기학회논문지
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• 제66권4호
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• pp.643-650
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• 2017

This pap4er analyzes resonance characteristics of a slave motor that is not controlled by load and parameter differences between Dual motors during parallel operation in middle-low speed. Dual SPMSMs(Surface mounted Permanent Magnet Synchronous Motor) connected in parallel to a single inverter controlled by the master and slave control in this paper. Based on the stability analysis of the SPMSM for a variation of torque angle, the 6th nonlinear state equation of the torque angle variation in the SIMM(Single Inverter Multi Motor) structure is derived according to a mathematical model for the dual motors. In general, an analysis of the 6th order nonlinear state equation is complex. Therefore, a resonance frequency generated from the slave motor is found from the characteristic equation of the 2nd order system obtained by linearization and model reduction near steady state operation point. Through simulations and experiments, it is confirmed that the stability analysis of the SPMSMs and state equation models are useful for the variation of the torque angle analyzed in this paper.

• 한국항공우주학회지
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• 제38권8호
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• pp.823-833
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• 2010

액체 로켓 및 항공용 엔진 연료로서 사용되는 케로신의 열역학적 상태량을 연구하기 위해 surrogate 모델이 조사되었다. 초임계 조건에서 실제 기체 상태 방정식(SRK 상태 방정식, PR 상태 방정식)과 NIST SUPERTRAPP(ECS 원리)을 이용하였을 경우의 밀도 분포가 기존의 실험 결과와 비교되었다. 또한 surrogate 모델의 종류에 따른 열역학적 상태량의 오차 범위에 대한 고찰이 수행되었다. 탄화 수소 계열 연료에 대해서는 PR 상태 방정식과 ECS 원리가 높은 정확도를 나타내지만 압력, 온도와 같은 작동 환경에 따라 적절한 surrogate 모델을 선별하여 선택해야 함을 확인하였다.