Reduced-order modelling of linear discrete-time systems via continued-fraction expansion of a z transfer function about z = 1 and z = a alternately

A new time-domain procedure is suggested for obtaining reduced-order models of linear time-invariant discrete-time systems. The procedure is based on presenting a new form of continued-fraction expansion (CFE) about z = 1 and z = a alternately, and deriving a realization form for the CFE. An algorithm is presented for obtaining the new CFE of the z transfer function of a linear discrete-time system from its state-space model directly, without having to determine the corresponding rational z transfer function. Also presented is a systematic approach to deriving two similarity transformation matrices: one is used to transform a state-space model from a general form to the CFE canonical form, and the other is used to transform a state-space model from the phase-variable canonical form to the CFE canonical form. Finally, an approximate aggregation matrix is constructed to relate the state vector of the original system to that of a reduced model obtained by the present method. The proposed procedure is illustrated with examples.     

THE COMPUTATION OF WAVELET-GALERKIN APPROXIMATION ON A BOUNDED INTERVAL

This paper describes exact evaluations of various finite integrals whose integrands involve products of Daubechies' compactly supported wavelets and their derivatives and/or integrals. These finite integrals play an essential role in the wavelet-Galerkin approximation of differential or integral equations on a bounded interval.     

Comparison of Dialysis and Metal Precipitation Effects on Apple Pectins

Metal precipitation as a purification method for pectins was investigated for effects on chemical composition (anhydrogalacturonic acid, methoxyl and degree of esterification and neutral sugars), and molecular properties (molecular weight and intrinsic viscosity) in comparison with dialysis. The Cu(II) ions were used to separate pectins from non-uronide components, and then the Cu(II) ions complexed with pectins were removed by 1% acid alcohol or EDTA treatment. The contaminants were removed more effectively by metal precipitation than dialysis. Acid alcohol did not affect degree of esterification of pectins, whereas it significantly cleaved the neutral sugar side chains. Pectins treated with acid alcohol had lower molecular weights, but larger intrinsic viscosities indicating their more linear nature compared to pectins treated with EDTA.     

李雅普諾夫(Ляпунов)第二方法的一个应用

李雅普诺夫第二方法除可用来判别动力学系统的稳定性问题[1,2],还可用来研究系统的品质,例如估计系统的衰减时间[3]。近年来,已有不少学者将其用于对系统进行设计。本文继卡尔曼（Kalman）等在设计快速系统应用李雅普诺夫第二方法方面,给出一些回答。     

微波辐射辅助柠檬酸络合法制备的Ho3+/Tm3+/Yb3+共掺杂CaWO4的白光性能（英文）

采用微波辐射辅助柠檬酸络合法制备Ho3+/Tm3+/Yb3+共掺杂CaWO4纳米晶升频转换荧光粉。将柠檬酸络合物前驱体在300~700°C热处理3 h。Ho3+/Tm3+/Yb3+共掺杂CaWO4C在400°C时开始结晶,在600°C时结晶完成。经600°C热处理的Ho3+/Tm3+/Yb3+共掺杂CaWO4主要呈球形,且形态均匀。在980 nm的激光激发下,Ho3+/Tm3+/Yb3+共掺杂CaWO4纳米晶出现肉眼可见的明亮的白色升频转换发射,这种现象来自Tm3+的475 nm蓝光发射以及Ho3+的543 nm绿光和651 nm红光发射。通过调整Tm3+和Ho3+的浓度可以控制Ho3+/Tm3+/Yb3+共掺杂CaWO4的CIE色度图从冷到暖白色之间变化。讨论了Tm3+和Ho3+浓度对升频转换光性能的影响以及与激光泵功率相关的影响机制。     

Collapse behavior evaluation of hybrid thin-walled member by stacking condition

The recent trend of vehicle design aims at crash safety and environmentally-friendly aspect. For the crash safety aspect, the energy absorbing members should absorb collision energy sufficiently but for the environmentally-friendly aspect, the vehicle structure must be light weight in order to improve the fuel efficiency and reduce the tail gas emission. Therefore, the light weight of vehicle must be achieved in a securing safety status of crash. An aluminum or carbon fiber reinforced plastics (CFRP) is rep...     

Collapse behavior evaluation of hybrid thin-walled member by stacking condition

The recent trend of vehicle design aims at crash safety and environmentally-friendly aspect. For the crash safety aspect, the energy absorbing members should absorb collision energy sufficiently but for the environmentally-friendly aspect, the vehicle structure must be light weight in order to improve the fuel efficiency and reduce the tail gas emission. Therefore, the light weight of vehicle must be achieved in a securing safety status of crash. An aluminum or carbon fiber reinforced plastics (CFRP) is representative one of the light-weight materials. Based on the respective collapse behavior of aluminum and CFRP member, the collapse behavior of hybrid thin-walled member was evaluated. The hybrid members were manufactured by wrapping CFRP prepreg sheets outside the aluminum hollow members in the autoclave. Because the CFRP is an anisotropic material whose mechanical properties, such as strength and elasticity, change with its stacking condition, the effects of the stacking condition on the collapse behavior evaluation of the hybrid thin-walled member were tested. The collapse mode and energy absorption capability of the hybrid thin-walled member were analyzed with the change of the fiber orientation angle and interface number.     

地应力场方向对巷道围岩稳定性的影响

地应力测试结果表明在构造应力场水平应力是垂直应力的1.8～2.7倍,而且两个水平应力之比是1.5～2.5。构造应力场是影响对巷道稳定的主要因素之一。本文运用COMSOL 3D有限元软件在初始应力场轴向变化的情况下模拟了巷道围岩的应力状态,分析得出巷道轴向与最大水平应力方向之间的夹角越大,巷道越不稳定。此时巷道围岩的剪破坏区深入到巷道顶底板。因此在构造应力场掘进巷道时要尽量使最大水平应力方向与巷道轴向一致。     

ReAsH: another viable option for in vivo protein labelling in Dictyostelium

Biarsenical-tetracysteine fluorescent protein tagging has been effectively used in a variety of cell types. It has the advantage of requiring a much smaller peptide alteration to existing proteins than fusion to green fluorescent protein (GFP) or monomeric red fluorescent protein (mRFP). However, there are no reports of the tetracysteine tagging system being used in Dictyostelium . In order to establish this tagging system in Dictyostelium , the filamin gene ( FLN ) was modified to express a C-terminal tetracysteine sequence and then transfected into cells. After addition of either FlAsH-EDT₂ or ReAsH-EDT₂, the fluorescence intensity of cells increased in a time-dependent manner and reached a plateau after 3 h of incubation. ReAsH had a much stronger and more specifically localized fluorescent signal compared with FlAsH. After removal of the ReAsH-EDT₂ reagent, the fluorescence signal remained detectable for at least 24 h. The localization of filamin labelled by ReAsH was similar to that of an FLN-mRFP fusion protein, but the fluorescence signal from the ReAsH-labelled protein was stronger. Our findings suggest that the ReAsH-tetracysteine tagging system can be a useful alternative for in vivo protein tagging in Dictyostelium .