• 제목/요약/키워드: zero-order solution

검색결과 182건 처리시간 0.023초

최적 한켈 놈 근사화 문제의 통합형 해 (A unified solution to optimal Hankel-Norm approximation problem)

  • 윤상순;권오규
    • 제어로봇시스템학회논문지
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    • 제4권2호
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    • pp.170-177
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    • 1998
  • In this paper, a unified solution of Hankel norm approximation problem is proposed by $\delta$-operator. To derive the main result, all-pass property is derived from the inner and co-inner property in the $\delta$-domain. The solution of all-pass becomes an optimal Hankel norm approximation problem in .delta.-domain through LLFT(Low Linear Fractional Transformation) inserting feedback term $\phi(\gamma)$, which is a free design parameter, to hold the error bound desired against the variance between the original model and the solution of Hankel norm approximation problem. The proposed solution does not only cover continuous and discrete ones depending on sampling interval but also plays a key role in robust control and model reduction problem. The verification of the proposed solution is exemplified via simulation for the zero-order Hankel norm approximation problem and the model reduction problem applied to a 16th order MIMO system.

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금속 철을 이용한 TNT의 환원시의 동역학 산정 (Kinetics of 2,4,6-Trinitrotoluene reduction by zero valent iron)

  • 배범한
    • 한국지하수토양환경학회:학술대회논문집
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    • 한국지하수토양환경학회 1999년도 정기총회 및 춘계 공동 학술발표회
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    • pp.62-63
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    • 1999
  • Reduction 2,4,6-Trinitrotoluene by zero valent iron was studied in a batch reactor under anoxic conditions. Results showed that the removal of TNT was a pseudo-first order and the rate was dependent on the available metal surface area. Final product, presumably triaminotoluene, accumulated in the solution as well as on the metal surface. However, little amounts of aminodinitrotoluenes were detected. Therefore, it is postulated that the reduction of nitro group occurs simultaneously in all three position.

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Carbamide Peroxide 용액(溶液)의 안정성(安定性) (A Study on the Stability of Carbamide Peroxide Solution)

  • 이계주;유병설
    • 약학회지
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    • 제28권6호
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    • pp.299-303
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    • 1984
  • In order to eluciate the effect of humidity and organic solvent on the decomposition of carbamide peroxide, the kinetic study was carried out. The carbamide peroxide was prepared from urea and 30%-hydrogen peroxide. The accelerated stability analysis for carbamide peroxide crystal in various relative humidity, and for 10%-carbamide peroxide solution of organic solvents were investigated. Both humidity and temperature were important factors influencing the decomposition rate of carbamide peroxide crystal. The higher the humidity and temperature, the greater was the reaction rate. The breakdown rate of crystal was observed as an apparent zero-order, and was faster than the rate of decomposition in dilute propylene glycol, glycerine or sorbitol solutioos which were measured as an apparent first-order reaction. The more dilute to 10% the organic solvents of 10%-carbamide peroxide, the slower was breakdown rate. It is, therefore, useful in the aspects of stability and economics to substitute solvent of carbamide peroxide topical solution (USP XXI) with 10%-propylene glycol or glycerine instead of anhydrous glycerine.

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STABILITY BY KRASNOSELSKII'S FIXED POINT THEOREM FOR NONLINEAR FRACTIONAL DYNAMIC EQUATIONS ON A TIME SCALE

  • Belaid, Malik;Ardjouni, Abdelouaheb;Boulares, Hamid;Djoudi, Ahcene
    • 호남수학학술지
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    • 제41권1호
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    • pp.51-65
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    • 2019
  • In this paper, we give sufficient conditions to guarantee the asymptotic stability of the zero solution to a kind of nonlinear fractional dynamic equations of order ${\alpha}$ (1 < ${\alpha}$ < 2). By using the Krasnoselskii's fixed point theorem in a weighted Banach space, we establish new results on the asymptotic stability of the zero solution provided f (t, 0) = 0, which include and improve some related results in the literature.

메타크릴레이트 폴리머로 제조한 겔 제제로부터 케토프로펜의 제어 방출특성 (Controlled Release Properties of Ketoprofen from Methacrylate Polymer Gels)

  • 한건;박정숙;김낙서;정연복;차철희
    • Journal of Pharmaceutical Investigation
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    • 제21권1호
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    • pp.1-10
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    • 1991
  • Hydrogels containing ketoprofen were prepared by adding NaOH or $Ca(OH)_2$ solution to Eudragit L, S and Eudispert hv at various concentration. And xerogels were prepared by drying hydrogels. On the other hand, organogels containing ketoprofen were prepared by mixing Eudragit L or S and propylene glycol. Effects of polymer content and base on drug release were investigated using KP V dissolution method. The release rate of ketoprofen from Eudragit L & S hydrogel decreased with increasing in polymer content. And the drug release rate from cal. hydroxide based gels were more decreased than that from sod. hydroxide based gels. At pH 7.2 dissolution medium, e release of ketoprofen from Edispert hv hydrogel followed apparent zero order kinetics. The release of ketoprofen from xerogel involved in simultaneous absorption of water and desorption of ketoprofen via a pH-dependant swelling controlled mechanism. The release of ketoprofen from Eudragit S organogels followed apparent zero order kinetics, providing strong evidence for a surface erosion mechanism.

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Analytical solution for bending analysis of soft-core composite sandwich plates using improved high-order theory

  • Kheirikhah, M.M.;Khalili, S.M.R.;Fard, K. Malekzadeh
    • Structural Engineering and Mechanics
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    • 제44권1호
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    • pp.15-34
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    • 2012
  • In the present paper, an improved high-order theory is used for bending analysis of soft-core sandwich plates. Third-order plate assumptions are used for face sheets and quadratic and cubic functions are assumed for transverse and in-plane displacements of the orthotropic soft core. Continuity conditions for transverse shear stresses at the interfaces as well as the conditions of zero transverse shear stresses on the upper and lower surfaces of the plate are satisfied. Also, transverse flexibility and transverse normal strain and stress of the orthotropic core are considered. The equations of motion and boundary conditions are derived by principle of minimum potential energy. Analytical solution for bending analysis of simply supported sandwich plates under various transverse loads are presented using Navier's solution. Comparison of the present results with those of the three-dimensional theory of elasticity and some plate theories in the literature confirms the accuracy of the proposed theory.

주파수영역 오차함수의 모델링과 분석을 통한 제로위상 FIR 필터 설계 (Design of Zero-phase FIR Filters Through the Modeling and Analysis of A Frequency-domain Error Function)

  • 전준현
    • 한국통신학회논문지
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    • 제36권7C호
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    • pp.451-458
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    • 2011
  • MAXFLAT(maximally flat) FIR필터 설계는 폐쇄형 솔루션을 제공하는 장점이 있으나 설계의 정확성을 위하여 평탄차수를 정확하고 효율적으로 결정하는 문제가 아직 남아 있다. 본 논문에서는 폐쇄형 솔루션에서 주파수영역 오차함수를 모델링하고 분석하므로 써 직접적이고 정확하게 평탄차수를 결정하는 방법을 제안하였다. 마지막으로 주피수영역 오차함수를 바탕으로 제안한 차단주파수와의 최소거리 방식이 기존의 Herrmann 방식에 비해 매우 정확하고 효율적이라는 것을 입증하였다.

Optimization of construction support scheme for foundation pits at zero distance to both sides of existing stations based on the pit corner effect

  • Tonghua Ling;Xing Wu;Fu Huang;Jian Xiao;Yiwei Sun;Wei Feng
    • Geomechanics and Engineering
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    • 제38권4호
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    • pp.381-395
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    • 2024
  • With the wide application of urban subway tunnels, the foundation pits of new stations and existing subway tunnels are becoming increasingly close, and even zero-distance close-fitting construction has taken place. To optimize the construction support scheme, the existing tunnel's vertical displacement is theoretically analyzed using the two-stage analysis method to understand the action mechanism of the construction of zero-distance deep large foundation pits on both sides of the existing stations; a three-dimensional numerical calculation is also performed for further analysis. First, the additional stress field on the existing tunnel caused by the unloading of zero-distance foundation pits on both sides of the tunnel is derived based on the Mindlin stress solution of a semi-infinite elastic body under internal load. Then, considering the existing subway tunnel's joints, shear stiffness, and shear soil deformation effect, the tunnel is regarded as a Timoshenko beam placed on the Kerr foundation; a sixth-order differential control equation of the tunnel under the action of additional stress is subsequently established for solving the vertical displacement of the tunnel. These theoretical calculation results are then compared with the numerical simulation results and monitoring data. Finally, an optimized foundation pit support scheme is obtained considering the pit corner effect and external corner failure mode. The research shows a high consistency between the monitoring data,analytical and numerical solution, and the closer the tunnel is to the foundation pit, the more uplift deformation will occur. The internal corner of the foundation pit can restrain the deformation of the tunnel and the retaining structure, while the external corner can cause local stress concentration on the diaphragm wall. The proposed optimization scheme can effectively reduce construction costs while meeting the safety requirements of foundation pit support structures.

무전극 램프 점등용 2.5MHz급 ZVS 인버터 개발에 관한 연구 (2.5MHz Zero-Voltage-Switching Resonant Inverter for Electrodeless Fluorescent Lamp)

  • 박동현;김희준;조기연;계문호
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 1997년도 전력전자학술대회 논문집
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    • pp.261-265
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    • 1997
  • Driving the electrodeless fluorescent lamp, the high ac voltage with high frequency is required. The linear power amplifier has been widely used as a driving circuit of electrodeless fluorescent lamp. However, the low efficiency of the power amplifier causes th driving circuit to be replaced by a PWM switching inverter. In order to use a PWM switching inverter as the driving circuit of an electrodeless fluorescent lamp, the high switching frequency is required. But due to the switching loss at switches of the inverter, the limitation of high switching frequency appears in the inverter. One solution to this limitation is to reduce the switching loss by using the zero voltage switching technique. In this paper, zero voltage switching resonant inverter for driving an electrodeless fluorescent lamp is discussed. The results of analysis about the inverter are presented and the equations for design are established. And the validity of the analyzed results are verified through the experiment.

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