Lyapunov-Razumikhin定理应用于多自主体系统的编队问题

在群集中编队是很普遍的.研究了没有"leader"的群集编队问题.考虑输入端带有扰动和时滞.所考察的多智主体系统具有固定和切换拓扑两种情况.应用Lyapunov-Razumikhin定理到输入有时滞影响的编队问题中.解决了输入端有时滞和扰动以及主体是单"integrators"情形的编队问题.     

Identification of human microRNA-disease association via hypergraph embedded bipartite local model

MicroRNA (miRNA) plays an important role in life processes. In recent years, predicting the association between miRNAs and diseases has become a research hotspot. However, biological experiments take a lot of time and cost to identify pathogenic miRNAs. Computational biology-based methods can effectively improve accuracy of recognition. In our study, miRNAs-disease associations are predicted by a hypergraph regularized bipartite local model (HGBLM), which is based on hypergraph embedded Laplacian support vector machine (LapSVM). On benchmark dataset, the results of our method are comparable and even better than existing models.     

Bimetallic catalysts for hydrogenation in liquid phase

Activity and selectivity of bimetallic catalysts for two model reactions, citral hydrogenation in isopropanol and nitrate reduction in water, are reviewed on the basis of results obtained over bimetallic systems prepared in our laboratory, notably by redox techniques. The parent metal is generally a noble metal (Rh, Pd, Pt), while the additive is most often a non-noble metal (Ge, Sn, Cu…) whose oxidation state plays an important role in hydrogenation. Dramatic improvements of the selectivity to unsaturated alcohols are observed in citral hydrogenation with adequate deposition of the additive and pretreatment of the final catalyst. In nitrate reduction, the second metal essentially affects the first step of the process (conversion of nitrate to nitrite) but the global selectivity (limitation of NH₃ formation) may be significantly improved by tuning the couple parent metal–additive. Other aspects such as the choice of the support and the optimization of reaction conditions (temperature, pressure, pH effects in water) are also discussed.     

Sharp conditions for the compactness of the Sobolev embedding on Musielak–Orlicz spaces

We prove the compactness of the Sobolev embedding for Musielak–Orlicz spaces by way of simple conditions on the Matuszewska index of the underlying space. We provide counterexamples to show the sharpness of our conditions.     

Qp空间中的de la Vallée Poussin平均

本文研究了单位球上的Q_p空间中的de la Vallée Poussin平均算子,并通过高阶光滑模来建立Jackson逼近定理.此外,我们还得到了Bernstein不等式,K-泛函和光滑模的等价刻画等结果.     

Time fractional and space nonlocal stochastic nonlinear Schrödinger equation driven by Gaussian white noise

We present the time-spatial regularity of the nonlocal stochastic convolution for Caputo-type time fractional nonlocal Ornstein–Ulenbeck equations by the generalized Mittag–Leffler functions and Mainardi function, and establish the existence and uniqueness of mild solutions for time fractional and space nonlocal stochastic nonlinear Schrödinger equation driven by Gaussian white noise. In addition, the global mild solution is also shown.     

新单圈图H(p,tK_(1,m))的拉普拉斯谱刻画

设图H(p,tK_(1,m))是一个顶点数为p+mt的连通单圈图,它是由圈C_p的依次相邻的t(1≤t≤p)个顶点的每一个顶点分别与星K_(1,m)的中心重合而得到的单圈图.现证明单圈图H(p,pK_(1,5)),H(p,(p-1)K_(1,4))是由它们的拉普拉斯谱确定的,并证明了当p为偶数时,单圈图H(p,2K_(1,4)),H(p,(p-2)K_(1,4)),H(p,(p-3)K_(1,4))也是由它们的拉普拉斯谱确定的.     

二维Helmholtz方程不适定问题的一种算子软化正则法

本文研究带有混合边界的二维Helmholtz方程不适定问题.为了获得稳定的数值解,利用基于de la ValléePoussin算子的软化正则方法,得到了正则近似解,给出正则近似解与精确解之间在先验参数选取规则之下的误差估计,并通过数值实验检验了数据有噪声扰动时方法的有效性和稳定性.     

Formes de Jacobi et formules de distribution

The main theorem proved in this paper consists of a multiplicative distribution formula for the Jacobi forms in two variables associated to Klein forms. This gives stronger versions of distribution formulae appearing in the literature. Indeed, as a first consequence of the main theorem, we deduce an optional proof of the distribution formula true for any elliptic function first found by Kubert and as a second consequence, we prove an ameliorated distribution formula for a certain zeta function previously treated by Coates, Kubert and Robert. Moreover, our main theorem provides the exact root of unity appearing in the distribution formula of Jarvis and Wildeshaus, a fact which could be useful in the K-theory of elliptic curves or more precisely, in the investigation of the elliptic analogue of Zagier's conjecture linking regulators and polylogarithms.     

一种快速检测圆的抗干扰变形模板方法

提出了一种新的参量式变形模板方法，用于检测带有缺陷和噪声的圆。根据圆的几何形状特性和梯度信息定义了模板的能量函数。然后通过动态调整模板的参量使能量函数和图像进行交互以把能量函数最大化。根据能量函数的定义，在其取得最大值时的参量即为所检测圆的位置参量。为了提高匹配运算速度，先求出被检测圆的圆心和半径的估计值，然后给出缩小了的搜索区域。在此搜索区域内采用贪婪优化的算法得到最终检测结果。实验结果表明算法可以在圆有较大缺陷和噪声的情况下，定位精度在1个像素以内，速度在0．5s左右；有很好的抗干扰和抗噪声能力，并有较快的运算速度。