Calculation of non－mono chromatic reflectance of Co／Sb multilayer

It is well known that the structure defects, such as the interfacial roughness, interdiffusion and chemical reaction at interface, can degrade the optical properties for soft X-ray multilayer[1—5]. For example, the interfacial rough-ness can lead to a loss of spectral reflectance, which has been investigated for many years, and number theories for the scattering of electromagnetic radiation by interfacial roughness have been formulated[6,7]. In addition, the fluc-tuation of the period can als…     

Solution and order number methods for multiple ob－jective decision making with incomplete knowledge

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Robust predictive control of uncertain intergrating linear systems with input constraints

This paper presents a two-stage robust model predictive control (RMPC) aigorithm named as IRMFC for uncertain linear integrating plants described by a state-space model with input constraints. The global convergence of the resulted closed loop system is guaranteed under mild assumption. The simulation example shows its validity and better performance than conventional Min-Max RMPC strategies.     

Development of Compact Standing－wave Guides with on－Axis Coupler of Electron Linac for Medical Radio

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Heterogeneous UV／Fenton catalytic degradation of wastewater containing phenol with Fe－Cu－Mn－Y catalyst

The heterogeneous UV/Fenton process with the appropriate amount of Fe-Mn-Cu-Y as catalyst was developed and various operation conditions for the degradation of phenol were evaluated. The results indicated that by using the heterogeneous UV/Fenton process, the CODer removal rate reached almost 100% for wastewater containing phenol. Compared with the homogeneous process, the developed catalyst could be used at wider pH range in the UV/Fenton process. Comparison of various heterogeneous process showed that heterogeneous UV/Fenton process was best. The heterogeneous UV/Fenton process with Fe-Mn-Cu-Y catalyst is highly efficient in degrading various organic pollutants.     

Spectrofluorimetric determination of zinc（Ⅱ）with N－salicylidene phenylalanine

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Delay-dependent robust H∞ control for a class of uncertain switched systems with time delay

For linear switched system with both parameter uncertainties and time delay, a delay-dependent sufficient condition for the existence of a new robust H infinity feedback controller was formulated in nonlinear matrix inequalities solvable by an LMI-based iterative algorithm. Compared with the conventional state-feedback controller, the proposed controller can achieve better robust control performance since the delayed state is utilized as additional feedback information and the parameters of the proposed controllers are changed synchronously with the dynamical characteristic of the system. This design method was also extended to the case where only delayed state is available for the controller. The example of balancing an inverted pendulum on a cart demonstrates the effectiveness and applicability of the proposed design methods.     

Enantioselective assay of S（＋）－ and R（－）－propafenone in human urine by using RP－HPLC with pre－column chiral derlvatization

The enantioselective assay for S(+)- and R(-)-propafenone (PPF) in human urine that developed in this work involves extraction of propafenone from human urine and using S(+)-propafenone as internal standard, chiral derivatization with 2,3,4,6-tetra-O-beta-D-glucopranosyl isothiocyanate, and quantitation by an RP-HPLC system with UV detection (lambda=220 nm). A baseline separation of propafenone enantiomers was achieved on a 5-microm reverse phase ODS column, with a mixture of acetic acid (25:12:0.02,v/v) as mobile phase. There was good linear relationship from 24.9 ng/ml to 1875.0 ng/ml for both of enantiomers. The regression equations of the standard curves based on C(S-PPF) (or C(R-PPF)) versus ratio of A(S-PPF)/A(S) (or A(R-PPF)/A(S)) were y=0.0032x-0.081, (r=0.999) for S-PPF and y=0.0033x+0.0039, (r=0.998) for R-PPF, respectively. The method's limit of detection was 12.5 ng/ml for both enantiomers, and the method's limit of quantitation was 28.2+/-0.52 ng/ml for S-PPF, 30.4+/-methanol:water:glacial 0.53 ng/ml for R-PPF (RSD<8%, n=5). The analytical method yielded average recovery of 98.9% and 100.4% for S-PPF and R-PPF, respectively. The relative standard deviation was no more than 6.11% and 6.22% for S-PPF and R-PPF, respectively. The method enabled study of metabolism of S(+)- and R(-)-propafenone in human urine. The results from 7 volunteers administered 150 mg racemic propafenone indicated that propafenone enantiomers undergo stereoselective metabolism and that in the human body, S(+)-propafenone is metabolized more extensively than R(-)-propafenone.     

具有次可加位势的二阶系统的周期解

通过使用最小作用原理,对于具有次可加位势的非自治二阶系统,获得了一个周期解的存在性定理.     

一类阻尼振动问题的变分原理及周期解的存在性定理

对如下的阻尼振动问题:{ü(t) g(t) (u) (t) = ▽F(t,u(t) ),a.e.t∈[0,T],u(0) -u(T) = (u) (0) - (u) (T) =0.此处,T＞0,g∈L1(0,T,;R),G(t)=∫1 0 g(s)ds,G(T)=0,F:[0,T]×RN→R,给出其变分原理,并得到2个周期解的存在性定理.     

一类非自治二阶差分方程的周期解

研究一类二阶差分方程-Δ2x(t-1)=Fx(t,x),t∈Z,其中,f∈C(Z×Rm,R),xF(t,x)=■∈C(Z×Rm,Rm)为F关于x的梯度,且存在一个正整数M使得F(t M,x)=F(t,x).应用临界点理论,结合环绕的方法,给出了这个方程的非常数周期解存在性的一个充分条件,改进了已有文献中的结果.     

含有次凸位势的二阶Hamilton系统周期解

研究非自治的二阶Hamilton系统:±u= F(t,u(t)),a.e.t∈[0,T],u(0)-u(T)=u(0)-u(T)=0的周期解.当位势函数是一个(λ,μ)次凸函数与一个次二次函数的和时,利用极小作用原理和鞍点定理得到了非平凡周期解存在的几个充分条件.更全面地讨论了含有(λ,μ)次凸位势的Hamilton系统的周期解,推广和补充了某些已知的结果.     

非自治共振二阶离散Hamilton系统的周期解

研究了非自治二阶离散Hamilton系统周期解的存在性问题。在非线性项是次线性增长时,将这类Hamil-ton系统的周期解转化为定义在一个适当空间上泛函的临界点,然后利用临界点理论建立了此类系统周期解的存在性结果。     

非自治二阶系统周期解的存在性

这篇文章的目的是研究非自治二阶系统¨u(t)=F(t,u(t)),a.e.t∈[0,T]u(0)-u(T)=u(0)-u(T)=0周期解的存在性,通过最小作用原理获得一些存在性定理。     

一类推广的二阶Hamilton系统的周期解

分别利用极小作用原理及鞍点定理在势泛函为一次线性泛函和次二次泛函之和的条件下讨论了一类非自治二阶Hamilton系统周期解的存在性.     

一类二阶非Hamiltonian系统的变分原理及周期解的存在性定理

研究了阻尼振动问题{ü（t）＋g（t）u（t）=△F（t,u（t））,a.e.t∈[0,T]; u（0）-u（T）=u（0）-u（T）=0其中,T＞0,g（t）∈L^∞（0,T,R）,G（t）=∫^tog（s）ds,G（T）=0,F;[0,T]×R^N→R,给出了其变分原理和2个周期解的存在性定理,即使在g（t）=0特殊情况下,所得结果也是新的。     

非自治二阶系统周期解的存在性

将鞍点归约方法应用于非自治二阶系统,得到了非自治二阶系统在次线性增长条件下的周期解的存在性定理.     

一类非自治二阶系统的周期解

文章的主要目的是研究一类二阶哈密顿系统的周期解的存在性。通过使用最小作用原理获得了一个新的存在性定理。