A matrix triangularization algorithm for the polynomial point interpolation method

A novel matrix triangularization algorithm (MTA) is proposed to overcome the singularity problem in the point interpolation method (PIM) using the polynomial basis, and to ensure stable and reliable construction of PIM shape functions. The present algorithm is validated using several examples, and implemented in the local point interpolation method (LPIM) that is a truly meshfree method based on a local weak form. Numerical examples demonstrate that LPIM using the present MTA are very easy to implement, and very robust for solving problems of computational mechanics. It is shown that PIM with the present MTA is very effective in constructing shape functions. Most importantly, PIM shape functions possess Kronecker delta function properties. Parameters that influence the performance of them are studied in detail. The convergence and efficiency of them are thoroughly investigated.     

仿生复眼结构的制作与测试研究

为了更好地利用生物复眼的光学性能,介绍了一种新型仿生复眼结构。通过使用传统光刻胶热熔法和NOA73紫外曝光固化技术,得到了NOA73和PDMS材料的微透镜阵列,比较了它们的聚焦效果和光强分布,得到NOA73材料具有更好的光学性能;然后利用PDMS的柔韧性进行了两次倒模,再通过紫外曝光把NOA73固化,得到了背靠背形式的仿生复眼结构;最后对结构进行了成像测试、光强分布测试,并对结果进行了仿真和理论分析,可知该结构具有良好的形貌,光损耗小,光学性能优异并且具有很好的重复性,制作简单,成本低,能够模仿生物复眼的部分光学特性。     

Stabilization of interconnected nonlinear stochastic Markovian jump systems via dissipativity approach

This paper considers the stabilization problems for interconnected nonlinear stochastic Markovian jump systems from the viewpoint of dissipativity theory. Based on the strongly stochastic passivity theory, the feedback equivalence and global stabilization problems are studied for interconnected nonlinear stochastic Markovian jump systems. The strongly stochastic γ-dissipativity sustains a direct H_∞ control for this class of systems instead of solving coupled Hamilton–Jacobi inequalities.     

Foreign direct investment,industrial location and capital taxation

This paper demonstrates from a theoretical point of view that governments can affect the location decision of firms using tax rate on capital income as a policy instrument. We find that, in general, countries with a lower tax burden are net receivers of foreign direct investment. Furthermore, fiscal pressure interacts with the quality of infrastructures to exert a combined influence on the equilibrium location of the firms. Financial support from FEDER and project BEC2003-02271 is gratefully acknowledged.     

Does ICT diffusion matter for corruption? An Economic Development Perspective

This study assess the impact of ICT diffusion on corruption by using instrumental variables method on a panel data set of 175 countries over the period 1996–2014. We check for the stability of the ICT-corruption nexus for different levels of economic development. Our results show that ICT diffusion clearly acts as an effective tool to control corruption. The study also reports that as the countries develop economically they improve their corruption level. Moreover, as per the per capita GDP, estimation outcomes suggest that both trade openness and better institutions are associated with lower corruption levels. However, results show robust support to suggest that as the general price level increases, bribery increases. This effect is more pronounced for the developing countries than for developed ones, which may witness higher inflation rates and therefore a higher cost of living. Drawn on our results, our study addresses important insights and policy implications mainly for developing countries.     

A generalization of the Tikhonov theorem for singularly perturbed differential inclusions

We study the continuity properties of the bundle of solutions to a differential inclusion subject to a singular perturbation, i.e., with respect to a scalar parameter ɛ multiplying a part of the derivatives. We give conditions under which every solution of the singularly perturbed inclusion is close, in a certain sense and for a sufficiently small ɛ, to a solution of the degenerate inclusion obtained for ɛ=0. These conditions include both stability and structural requirements (the later having no counterpart in the case of a differential equation). The main result obtained generalizes the well-known Tikhonov theorem for singularly perturbed differential equations.     

On standard control problems for systems with infinitely many unstable poles

In this paper, H^∞ control for a class of linear time invariant systems with infinitely many unstable poles is studied. An example of such a plant is a high gain system with delayed feedback. We formulate the problem via a generalized plant which consists of a rational transfer matrix and the inverse of a scalar (possibly irrational) inner function. It is shown that the problem can be decomposed into a finite-dimensional H^∞ control problem and an additional rank condition.     

Construction of marginally and conditionally restricted designs using multiplicative algorithms

The problem of constructing optimal designs when some of the factors are not under the control of the experimenters is considered. Their values can be known or unknown before the experiment is carried out. Several criteria are taken into consideration to find optimal conditional designs given some prior information on the factors. In order to determine these optimal conditional designs a class of multiplicative algorithms is provided. Optimal designs are computed for illustrative, but simplistic, examples. Two real life problems in production models and a physical test for predicting morbidity in lung cancer surgery motivate the procedures provided.     

TRANSFORMATION OF Nd_(14)Fe_(73)Co_6B_7 ALLOY UNDER HYDROGEN TREATMENT

The phase constitution and variation of Nd_(14)Fe_(73)Co_6B_7 alloy after hydriding and subsequentdehydriding treatment at 770℃ have been investigated respectively by means of X-raydiffraction,SEM,TEM and magnetic measurement techniques.The original coarse,as castgrain structure,is dissolved into α-Fe,Nd hydride and Fe_2B mixture with average dimensionof 0.1 μm,during hydriding process,and subsequently the triphase mixture recombined intofinely unique Nd_2Fe_(14)B phase with dimension of 0.3 μm by desorbing the hydrogen.It wasfound that the Nd-rich phase distributed at the boundary of as-cast grain structure diffusedinto matrix Nd_2Fe_(14)B grain during hydriding.It remains during dehydriding and distributehomogeneously around some colonies composed of fine grains of Nd_2Fe_(14)B.