Delay-dependent H∞ filtering for discrete-time singular Markovian jump systems with time-varying delay and partially unknown transition probabilities

This paper is concerned with the H_∞ filtering design for a class of discrete-time singular Markovian jump systems with time-varying delay and partially unknown transition probabilities. The class of systems under consideration is more general and covers the singular Markovian delay systems with completely known and completely unknown transition probabilities as two special cases. A mode-dependent filter is constructed and by defining an appropriate stochastic Lyapunov functional combined with using the discrete Jensen inequality, a delay-dependent bounded real lemma (BRL) for the considered systems is established in terms of linear matrix inequalities (LMIs). Based on this, a sufficient condition on the existence of the desired filter which guarantees the admissibility and the H_∞ performance of the corresponding filtering error system is presented by employing the LMIs technique. Some numerical examples are provided to illustrate the effectiveness of the developed theoretical results.     

Consistent boundary conditions for flows within the atmospheric boundary layer

In computational wind engineering the neutrally stable atmospheric boundary layer (ABL) is often simulated using the standard k-ε model. The application of boundary conditions that are inconsistent with the profiles used at the inflow boundary causes streamwise gradients in the solution and prevents the simulation of a horizontally homogeneous boundary layer. In the present work these problems are overcome by applying a simple extension of the shear stress boundary condition at the top of the domain and by using one-dimensional models to generate inflow profiles in equilibrium with the ground boundary condition. This procedure allows the impact of the inconsistent boundary conditions to be quantitatively assessed. It is shown that inconsistent boundary conditions at the top of the domain result in erroneous streamwise gradients throughout the domain. These errors are reduced by enlarging the domain in the vertical direction but are not removed. The errors are also found in simulations with idealised and real topography included in the domain. A brief discussion of the impact of the errors on simulations of wind energy projects is given.     

C=0抽样方案在石英谐振器产品检验中的应用

基于质量管理体系的核心价值是以顾客为关注焦点,让顾客满意.只有为顾客提供满意的产品或服务,才能取得顾客长久的信任,保持对产品的忠诚.而实施“零缺陷”的管理和产品检验,就能将产品的质量风险降到最低,获得顾客满意,从而实现公司的经营目标.经对产品质量的分析,通过C=0的抽样方案、MIL-STD-1916抽样方案与GB/T2828.1-2003的抽样方案的实际使用和比较;突出C=0抽样方案在产品检验方面的优点;得出C=0抽样方案是目前在石英谐振器产品检验中值得推广采用的质量控制方案.     

基于A2O工艺的废水处理数学模型构建及应用

当前,逆A²O工艺（缺氧—厌氧—好氧）和常规 A²O（厌氧—缺氧—好氧）工艺作为一种常见的污水处理技术已经在亚洲得到广泛的应用,并主要集中于除去废水中的氮磷。总结了A²O工艺在除去含氮磷废水中存在的问题以及在运行过程中主要参数的优化措施,并通过数学建模对去除含氮磷废水动力学进行分析。该工作可为选择和优化适合实际废水特性的处理工艺奠定基础。     

基于FLAC3D的煤矿巷道锚杆支护技术研究

对煤层及顶底板围岩基本情况进行简要介绍的基础上,利用现场试验方法测量得到了锚杆的拉拔力。基于FLAC^3D软件程序分析了锚杆排距对巷道围岩稳定性的影响规律,发现当锚杆排距和间距为1.10 m和0.95 m、锚杆长度为2.40 m时,巷道围岩具有良好的稳定性并且施工成本最低。根据模拟分析最优结果,对锚杆支护技术方案参数进行了详细设计,两帮部位分别设置3根锚杆,顶板部位设置6根锚杆和2根锚索,同时利用金属网进行防护。将设计的锚杆支护技术方案应用到实践中,对各项围岩稳定性指标进行连续监测发现,支护效果良好,能够确保煤矿生产的安全性。     

Bounds on the OBDD-size of integer multiplication via universal hashing

Bryant [On the complexity of VLSI implementations and graph representations of boolean functions with applications to integer multiplication, IEEE Trans. Comput. 40 (1991) 205-213] has shown that any OBDD for the function MUL_n-1,n, i.e. the middle bit of the n-bit multiplication, requires at least 2^n/8 nodes. In this paper a stronger lower bound of essentially 2^n/2/61 is proven by a new technique, using a universal family of hash functions. As a consequence, one cannot hope anymore to verify e.g. 128-bit multiplication circuits using OBDD-techniques because the representation of the middle bit of such a multiplier requires more than 3·10¹⁷OBDD-nodes. Further, a first non-trivial upper bound of 7/3·2^4n/3 for the OBDD-size of MUL_n-1,n is provided.     

IR Spectra of La1.85Sr0.15Cu1?xMxO4?δ(M = Zn, Ni, Mg)

Polycrystalline samples La_1.85Sr_0.15Cu_1–xZn_xO_4– (0 x 0.3), La_1.85Sr_0.15Cu_1–xNi_xO_4– (0 x 0.3), and La_1.85Sr_0.15Cu_1–xMg_xO_4– (0 x 0.3) were synthesized by the solid-state reaction method. The crystal structure and phonon vibration were investigated by means of X-ray diffraction (XRD) and infrared spectrum. Zn, Ni, and Mg doping results in the lattice parameter c decreasing and a (b) increasing. The change of the phonon modes around 504 cm^–1 and 681 cm^–1 can be satisfactorily interpreted in terms of the change of the crystal structure and the itinerant nature of charge carrier in CuO₂ sheet. The relation between the structure and phonon vibration is discussed.     

Global and local mixing determinations for steel converter analysis

The steel converter is one of the major multiphase industrial reactors in which mixing plays an important role. The molten steel in the converter is mixed with the slag by introducing a gas that is blown over the liquid phases (called top blowing), under the liquid phases (bottom blowing) or using top and bottom blowing at the same time (combined blowing). Many chemical reactions that are controlled by the mixing and temperature magnitudes take place inside the converter. All the processes take about 14 min, the first 3 min being for the addition of materials. A 1/10 length scale down of a cold model of a 250-ton capacity industrial converter was employed to carry out the present study. A conductivimetric method was used to carry out the study of the mixing in the reactor. In this study, the mixing in the bath was determined for the three blowing types by conductimetry and the behaviour of the system was modelized.     

Al-substituted tobermorite: shows cation exchange

It has been found that the tobermorite family--fundamental to cement chemistry can exhibit base exchange behavior. Several Al-substituted tobermorites were synthesized and these 11Å type tobermorites were discovered to have cation exchange as well as selective cation adsorption properties. For example, Al-substituted tobermorite (synthesized from a mixture of clinoptilolite and mortar) has a cation exchange capacity of 56 meq/100g and a selective Cs adsorption K_d of 3400 (ml/g). The cation exchange and selective properties of Al-substituted tobermorite are analogous to those of zeolites because of its rigid structure but unlike those of smectites or vermiculites where the basal spacing varies with the nature of the interlayer cation.     

Enriching M. sternomandibularis with -tocopherol by dietary means does not protect against the lipid oxidation caused by high-pressure processing

We hypothesized that elevating the concentration of α-tocopherol in beef muscle tissue by dietary means would increase lipid stability following high-pressure processing. Beef M. sternomandibularis was obtained from cattle that had medium (4.92 μg/g) and high (7.30 μg/g) concentrations of α-tocopherol. Post-rigor, paired muscles samples were subjected to pressures of 0.1 (atmospheric), 200 or 800 MPa for 20 min at approximately 60 °C. Following high-pressure processing, measurements were made immediately (d 0) or on samples stored in the dark for 6 d at 4 °C (d 6). Intramuscular lipid was similar for each group (4.02% vs. 4.26%, respectively; P = 0.78), but lipid from the medium α-tocopherol muscle was more saturated and less monounsaturated than muscle from the high α-tocopherol group. High-pressure processing at 800 MPa and 60 °C did not reduce the amount of α-tocopherol but significantly reduced the concentration of linoleic acid (18:2n−6) in muscle from both production groups of cattle. Thiobarbituric acid reactive substances increased linearly with treatment pressure only in d 6 samples (day × pressure interaction P = 0.0001) and were higher overall (P = 0.02) in the high α-tocopherol muscle than in the medium α-tocopherol muscle. At d 6, lipid peroxides were decreased (P = 0.007) by high-pressure treatment and were higher (P < 0.0001) in the high α-tocopherol group than in the medium α-tocopherol group. Therefore, muscle from the high α-tocopherol cattle in this study had a greater accumulation of lipid peroxides by d 6, making the muscle from those cattle more susceptible to oxidation.