• 제목/요약/키워드: H$\infty$

검색결과 1,042건 처리시간 0.023초

Two 3D CdII and ZnII Complexes Based on Flexible Dicarboxylate Ligand and Nitrogen-containing Pillar: Synthesis, Structure, and Luminescent Properties

  • Liu, Liu;Fan, Yan-Hua;Wu, Lan-Zhi;Zhang, Huai-Min;Yang, Li-Rong
    • Bulletin of the Korean Chemical Society
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    • 제34권12호
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    • pp.3749-3754
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    • 2013
  • Two 3D isomorphous and isostructural complexes, namely, $[Zn(BDOA)(bpy)(H_2O)_2]_n$ (1) and $[Cd(BDOA)-(bpy)(H_2O)_2]_n$ (2); (BDOA = Benzene-1,4-dioxyacetic acid, bpy = 4,4'-bipyridine) were synthesized under hydrothermal conditions and characterized by means of elemental analyses, thermogravimetric (TG), infrared spectrometry, and single crystal X-ray diffraction. Complexes 1 and 2 crystallize in the triclinic system, space group P-1 and each metal ion in the complexes are six-coordinated with the same coordination environment. In the as-synthesized complexes, $BDOA^{2-}$ anions link central metal ions to form a 1D zigzag chain $[-BDOA^{2-}-Zn(Cd)-BDOA^{2-}-Zn(Cd)-]_{\infty}$, whereas bpy pillars connect metal ions to generate a 1D linear chain $[-bpy-Zn(Cd)-bpy-Zn(Cd)-]_{\infty}$. Both infinite chains are interweaved into 2D grid-like layers which are further constructed into a 3D open framework, where hydrogen bonds play as the bridges between the adjacent 2D layers. Luminescent properties of complex 1 showed selectivity for $Hg^{2+}$ ion.

선박 주행속도 변화를 고려한 Rudder-Roll Stabilization System 설계에 관한 연구 (A Study on Rudder-Roll Stabilization System Design for Ship with Varying Ship Speed)

  • 김영복;채규훈
    • 제어로봇시스템학회논문지
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    • 제8권5호
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    • pp.363-372
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    • 2002
  • In ship operation, the roll motions can seriously degrade the performance of mechanical and personnel effectiveness. So many studies for the roll stabilization system design have been performed and good results have been achieved. In many studies, the stabilizing fins are used. Recently rudders, which have been extensively modified, have been used exclusively to stabilize the roll. But, in the roll stabilization control system, the control performance is very sensitive to the ship speed. So, we can see that it is important to consider the ship speed in the rudder roll control system design. The gain-scheduling control technique is very useful in the control problem incorporating time varying parameters which can be measured in real time. Based on this fact, in this paper we examine the;$H_{\infty}$-Gain Scheduling control design technique. Therefore, we assume that a parameter, the ship speed which can be estimated in real time, is varying and apply the gain-scheduling control technique to design the course keeping and anti-rolling control system far a ship. In this control system, the controller dynamics is adjusted in real-time according to time-varying plant parameters. The simulation result shows that the proposed control strategy is shown to be useful for cases when the ship speed is varying and robust to disturbances like wind and wave.

Pharmacokinetic Characteristics of Levosulpiride in Relation to the Genetic Polymorphism of MDR1: From Knockout Mouse to Human

  • Cho, Hea-Young;Lee, Yong-Bok
    • Journal of Pharmaceutical Investigation
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    • 제37권5호
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    • pp.297-303
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    • 2007
  • The purposes of this study were to clarify the involvement of P-glycoprotein (P-gp) in the efflux of levosulpiride in knockout mice that lack the mdr1a1b gene and to evaluate the relationship between the genetic polymorphisms in MDR1 gene (exon 21) and levosulpiride disposition in healthy Korean subjects. After oral administration ($10\;{\mu}g/g$) of levosulpiride to mdr1a/1b(-/-) and wild-type mice, plasma and brain samples were obtained at 45 min. We also investigated the genotype for MDR1 (exon 21) gene in humans using a polymerase chain reaction-restriction fragment length polymorphism (PCR-RFLP) method. A single oral dose of 25 mg levosulpiride was administered to 58 healthy subjects, who were based on the MDR1 genotype for the G2677T SNP. Blood samples were taken up to 36 hr after dosing. The concentrations of levosulpiride in mouse plasma and brain were statistically significant difference between the two animal groups (P<0.05). In addition, the average brain-to-plasma concentration ratio (Kp) of levosulpiride was 3.4-fold (P<0.01) higher in the mdr1a/1b(-/-) mice compared with the wild-type mice. We also found that the values of $AUC_{0-{\infty}$, partial AUC ($AUC_{0-4h}$) and $C_{max}$ were significantly different between homozygous 2677TT subjects and the subjects with at least one wild-type allele (GG and GT subjects, P=0.012 for $AUC_{0-{\infty}$; P=0.008 for $AUC_{0-4h}$; P=0.038 for $C_{max}$). The results confirm that levosulpiride is a P-gp substrate in vivo, and clearly demonstrate the effect of SNP 2677G>T in exon 21 of the MDR1 gene on levosulpiride disposition.

횡방향 거동 특성을 고려한 부하모사 시스템 해석 (Analysis of Load Simulating System Considering Lateral Behavior of a Vehicle)

  • 김효준
    • 한국산학기술학회논문지
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    • 제20권5호
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    • pp.621-626
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    • 2019
  • 자동차의 과도한 차체 운동과 조종 불안정성을 유발하는 대표적인 외란 입력으로는 운전자에 의해 가해지는 조향 핸들 조작이다. 급격하고 과도한 핸들 조작은 SUV 차량처럼 기하학적 및 동역학적 특성에 따라 차량 전복 현상도 발생시킬 수 있다. 본 연구에서는 이에 대응할 수 있는 제어 시스템의 구조화에 대하여 다음과 같이 기초 연구를 수행하였다. 운전자 조종으로 유발되는 횡방향 거동에 대한 수학적 모델링을 수행하고, 이를 토대로 차체 운동을 제어할 수 있는 제어기를 설계하였다. 파라미터 불확실성으로 인한 모델링 오차에 대해 강건한 제어 성능을 확보하기 위하여 $H_{\infty}$ 알고리즘을 적용하였다. 비 연성화된 1/4 차량을 기반으로, 차체에 작용하는 모우멘트에 상응하는 동적 부하를 모사할 수 있는 모델을 제시하였다. 동적 시뮬레이션을 수행하여 부하 모사 모델의 타당성을 파악하였다. 차체- 차축- 서스펜션- 타이어로 조합되는 1/4 실험 차량 장치와 부하 모사 모듈, 서스펜션 제어 모듈 및 Hils 기술을 적용하는 차체 거동 제어 시스템에 대한 프레임워크를 제안하였다.

UNITARY INTERPOLATION ON AX = Y IN ALG$\mathcal{L}$

  • Kang, Joo-Ho
    • 호남수학학술지
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    • 제31권3호
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    • pp.421-428
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    • 2009
  • Given operators X and Y acting on a Hilbert space $\mathcal{H}$, an interpolating operator is a bounded operator A such that AX = Y. In this paper, we showed the following : Let $\mathcal{L}$ be a subspace lattice acting on a Hilbert space $\mathcal{H}$ and let $X_i$ and $Y_i$ be operators in B($\mathcal{H}$) for i = 1, 2, ${\cdots}$. Let $P_i$ be the projection onto $\overline{rangeX_i}$ for all i = 1, 2, ${\cdots}$. If $P_kE$ = $EP_k$ for some k in $\mathbb{N}$ and all E in $\mathcal{L}$, then the following are equivalent: (1) $sup\;\{{\frac{{\parallel}E^{\perp}({\sum}^n_{i=1}Y_if_i){\parallel}}{{\parallel}E^{\perp}({\sum}^n_{i=1}Y_if_i){\parallel}}:f{\in}H,n{\in}{\mathbb{N}},E{\in}\mathcal{L}}\}$ < ${\infty}$ range $\overline{rangeY_k}\;=\;\overline{rangeX_k}\;=\;\mathcal{H}$, and < $X_kf,\;X_kg$ >=< $Y_kf,\;Y_kg$ > for some k in $\mathbb{N}$ and for all f and g in $\mathcal{H}$. (2) There exists an operator A in Alg$\mathcal{L}$ such that $AX_i$ = $Y_i$ for i = 1, 2, ${\cdots}$ and AA$^*$ = I = A$^*$A.

H2/H 설계사양을 만족하는 선박운동제어계 설계에 관한 연구 (Control System Design for Marine Vessel Satisfying Mixed H2/H Performance Condition)

  • 강창남;김영복
    • 제어로봇시스템학회논문지
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    • 제19권9호
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    • pp.846-852
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    • 2013
  • In this paper, the authors propose a new approach to control problem of the marine vessels which are moored or controlled by actuators. The vessel control problem in the specified area is called a DPS (Dynamic Positioning System). The main objective of this paper is to obtain more useful control design method for DPS. In this problem, a complicate fact is control allocation which is a numerical method for distributing the control signal to the controlled system. For this, many results have been given and verified by other researchers using two individual processes. It means that the controller design and control allocation design process are carried out individually. In this paper, the authors give more sophisticated design solution on this issue. In which the controller design and control allocation problem are unified by a robust controller design problem. In other word, the stability of the closed-loop system, control performance and allocation problem are unified by an LMI (Linear Matrix Inequality) constraint based on $H_2/H_{\infty}$ mixed design framework. The usefulness of proposed approach is verified by simulation with a supply vessel model and found works well.

POSITIVE INTERPOLATION PROBLEMS IN ALG𝓛

  • KANG, JOO HO;KIM, KI SOOK
    • 호남수학학술지
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    • 제26권4호
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    • pp.379-389
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    • 2004
  • Given operators X and Y acting on a Hilbert space ${\mathcal{H}}$, an interpolating operator is a bounded operator A such that AX = Y. An interpolating operator for n-operators satisfies the equation $AX_i=Y_i$, for $i=1,2,{\cdots},n$. In this article, we obtained the following : Let ${\mathcal{H}}$ be a Hilbert space and let ${\mathcal{L}}$ be a commutative subspace lattice on ${\mathcal{H}}$. Let X and Y be operators acting on ${\mathcal{H}}$. Then the following statements are equivalent. (1) There exists an operator A in $Alg{\mathcal{L}}$ such that AX = Y, A is positive and every E in ${\mathcal{L}}$ reduces A. (2) sup ${\frac{{\parallel}{\sum}^n_{i=1}\;E_iY\;f_i{\parallel}}{{\parallel}{\sum}^n_{i=1}\;E_iX\;f_i{\parallel}}}:n{\in}{\mathbb{N}},\;E_i{\in}{\mathcal{L}}$ and $f_i{\in}{\mathcal{H}}<{\infty}$ and <${\sum}^n_{i=1}\;E_iY\;f_i$, ${\sum}^n_{i=1}\;E_iX\;f_i>\;{\geq}0$, $n{\in}{\mathbb{N}}$, $E_i{\in}{\mathcal{L}}$ and $f_i{\in}H$.

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SOLVING OPERATOR EQUATIONS Ax = Y AND Ax = y IN ALGL

  • LEE, SANG KI;KANG, JOO HO
    • Journal of applied mathematics & informatics
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    • 제33권3_4호
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    • pp.417-424
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    • 2015
  • In this paper the following is proved: Let L be a subspace lattice on a Hilbert space H and X and Y be operators acting on a Hilbert space H. If XE = EX for each E ${\in}$ L, then there exists an operator A in AlgL such that AX = Y if and only if sup $\left{\frac{\parallel{XEf}\parallel}{\parallel{YEf}\parallel}\;:\;f{\in}H,\;E{\in}L\right}$ = K < $\infty$ and YE=EYE. Let x and y be non-zero vectors in H. Let Px be the orthogonal pro-jection on sp(x). If EPx = PxE for each E $\in$ L, then the following are equivalent. (1) There exists an operator A in AlgL such that Ax = y. (2) < f, Ey > y =< f, Ey > Ey for each E ${\in}$ L and f ${\in}$ H.

On (H, μn) Summability of Fourier Series

  • CHANDRA, SATISH
    • Kyungpook Mathematical Journal
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    • 제43권4호
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    • pp.513-518
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    • 2003
  • In this paper, we have proved a theorem on Hausdorff summability of Fourier series which generalizes various known results. We prove that if $${\int}_{o}^{t}\;{\mid}{\phi}(u){\mid}\;du=o(t)\;as\;t{\rightarrow}0\; and\;\lim_{n{\rightarrow}{\infty}}{\int}^{\eta}_{{\pi}/n}{\frac{{\mid}{\phi}(t)-{\phi}(t+{\pi}/n){\mid}}{t}}dt=o(n)$$ where 0 < ${\eta}$ < 1, then the Fourier series is (H, ${\mu}_n$) summable to s at t = x where the sequence ${\mu}_n$ is given by ${\mu}_n={\int}^1_0x^n{\chi}(x)\;dx\;n=0,1,2\;and\;K_n(t)=\limits\sum_{{\nu}=0}^n(\array {n\\{\nu}})({\Delta}^{{n}-{\nu}}{\mu}_{\nu}){\frac{sin{\nu}t}{t}}$.

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COHOMOLOGY GROUPS OF CIRCULAR UNITS

  • Kim, Jae-Moon;Oh, Seung-Ik
    • 대한수학회지
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    • 제38권3호
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    • pp.623-631
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    • 2001
  • Let $\kappa$ be a real abelian field of conductor f and $\kappa$(sub)$\infty$ = ∪(sub)n$\geq$0$\kappa$(sub)n be its Z(sub)p-extension for an odd prime p such that płf$\phi$(f). he aim of this paper is ot compute the cohomology groups of circular units. For m>n$\geq$0, let G(sub)m,n be the Galois group Gal($\kappa$(sub)m/$\kappa$(sub)n) and C(sub)m be the group of circular units of $\kappa$(sub)m. Let l be the number of prime ideals of $\kappa$ above p. Then, for mm>n$\geq$0, we have (1) C(sub)m(sup)G(sub)m,n = C(sub)n, (2) H(sup)i(G(sub)m,n, C(sub)m) = (Z/p(sup)m-n Z)(sup)l-1 if i is even, (3) H(sup)i(G(sub)m,n, C(sub)m) = (Z/P(sup)m-n Z)(sup l) if i is odd (※Equations, See Full-text).

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