ON THE GROWTH OF ZERO ORDER LAPLACE-STIELTJES TRANSFORM CONVERGENT IN THE RIGHT HALF-PLANE

In this article, authors study the growth of Laplace-Stieltjes transform with zero order convergent in the right half-plane, define the exponential order and the exponential low order, and find the relations between them. Some results similar to Dirichlet series are obtained.

CHEBYSHEV APPROXIMATION OF THE SECOND KIND OF MODIFIED BESSEL FUNCTION OF ORDER ZERO

The second kind of modified Bessel function of order zero is the solutions of many problems in engineering. Modified Bessel equation is transformed by exponential transformation and expanded by J.P.Boyd's rational Chebyshev basis.

Improved Grid Relaxation with Zero-Order Integrators

In this research, we have improved a relaxation method for triangular meshes intended for finite element fluid simulations which contain discrete element particles. The triangle edges are treated as springs which relax their lengths towards a “better” force equilibrium where the triangles are closer to equilateral shape. The actual kernel is an improved zero order integrator which is able to follow reconfigurations of the particles faster than earlier methods. The improved relaxation allows larger timesteps in the flow simulation and leads to more stable, faster mesh reconfigurations for fast moving particles in the flow. Additionally, this demonstrates how integrators of the same order zero can nevertheless have different convergence speeds towards

State feedback stabilization for high-order stochastic nonlinear systems with zero dynamics

In this paper, for a class of high-order stochastic nonlinear systems with zero dynamics which are neither necessarily feedback linearizable nor affine in the control input, the problem of state feedback stabilization is investigated for the first time. Under some weaker assumptions, a smooth state feedback controller is designed, which ensures that the closed-loop system has an almost surely unique solution on [0,∞）, the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability, and all the states can be regulated to the origin almost surely. A simulation example demonstrates the control scheme.

基于非线性修饰和零阶保持器的船舶航向保持控制

[目的]为了解决船舶在海上航行时控制器舵角输出大、打舵频率高、控制速度较慢以及控制精度较低的问题,利用三阶闭环增益成形算法设计鲁棒控制器。[方法]首先,利用三阶闭环增益成形算法设计出线性鲁棒控制器,然后,在控制策略中加入双曲正切非线性修饰以及零阶保持器,在不同海况下对该控制器的性能进行仿真实验。[结果]仿真结果表明,相比于基于非线性修饰的传统PID控制器,在一般海况下,所提控制器在延迟时间、控制精度以及能量输出上分别改进了36%,14%和32%;在恶劣海况下,分别改进了27%,7%和16%。此外,不同海况下该控制器的仿真结果都具有稳定的舵角输出,并可以较快地稳定在临界值附近,证明了其具有较好的鲁棒性。[结论]改进的控制器符合工程实践,对于智能船舶的控制具有较好的应用参考价值。

基于相位差的轴向磁通无铁心电机早期轻微匝间短路故障诊断

针对轴向磁通定子无铁心电机早期匝间短路故障问题,提出一种基于零序分量和定子电流分量相位差的轴向磁通定子无铁心电机的早期匝间短路故障诊断和定位方法。首先,根据定子绕组电感极小的特点建立了匝间短路故障数学模型;其次,对故障前后的短路电流、相电流、零序分量等进行了傅里叶分析,通过零序电压基波幅值变化对匝间短路故障进行识别;最后,通过对比零序电压基波与定子三相电流初相位差来进行故障相定位。结果表明,匝间短路故障相的相电流基波初始相位与零序电压基波初相位差的绝对值近似180°,而健康相的相位差与180°相差较大。基于相位差可以实现轴向磁通无铁心电机早期匝间短路故障的诊断与定位,为永磁电机的匝间短路故障诊断提供了参考。

“Buckets effect”in the kinetics of electrocatalytic reactions

In this study,we systematically investigated the effect of proton concentration on the kinetics of the oxygen reduction reaction(ORR)on Pt(111)in acidic solutions.Experimental results demonstrate a rectangular hyperbolic relationship,i.e.,the ORR current excluding the effect of other variables increases with proton concentration and then tends to a constant value.We consider that this is caused by the limitation of ORR kinetics by the trace oxygen concentration in the solution,which determines the upper limit of ORR kinetics.A model of effective concentration is further proposed for rectangular hyperbolic relationships:when the reactant concentration is high enough to reach a critical saturation concentration,the effective reactant concentration will become a constant value.This could be due to the limited concentration of a certain reactant for reactions involving more than one reactant or the limited number of active sites available on the catalyst.Our study provides new insights into the kinetics of electrocatalytic reactions,and it is important for the proper evaluation of catalyst activity and the study of structureperformance relationships.

基于零阶谐振器的低剖面宽带锥状波束微带天线研究

提出一种利用零阶谐振器实现锥状波束天线带宽展宽的新技术。天线将4个零阶谐振器加载到圆形贴片内,从而引进新的谐振,大大增加天线的带宽。该技术将天线的带宽从4.86%扩展到12.8%。天线增益达到5 dBi,最大辐射方向为36°。该天线具有结构简单、加工容易、剖面低和成本低的优点,在整个频段内具有良好的锥状波束特性,而且波束稳定性良好。

无干涉测量与相位迭代算法的单像素相位成像

单像素成像为突破经典成像中像素数量的限制提供了方法,但要实现良好稳定性和准确性的相位成像仍然是一个挑战。基于现有的单像素成像框架,提出了一种无需干涉测量与相位迭代算法的单像素相位成像方法。通过傅里叶频谱零级强度测量发现,该方法实现了相位成像。实验结果表明,相位成像的重复精度为0.12%,误差为4.1%,证明了该方法具有良好的稳定性和准确性,对单像素成像的进一步发展和经典相位成像的突破创新均具有一定的借鉴意义。

高次凸非球面补偿检验方法研究

高次凸非球面镜是光学系统中至关重要的元件,通常作为次镜来补偿光学系统的轴外像差,但其检验方法一直是一大难点。基于背向零位检测方法,提出利用三透镜与单折射面组合的形式来补偿高次非球面的法线像差。首先选取高次非球面的二次比较面来简化计算,基于三级像差理论求解系统的初始结构,对高次非球面的法线像差进行补偿,使用ZEMAX软件仿真与优化后,设计结果完全满足要求。随后结合一块有效通光口径为170 mm、顶点曲率半径为266.8 mm的高次凸非球面反射镜,测得镜面的面形精度均方根为0.019λ(λ=632.8 nm),满足实际检测要求,验证了所提设计方法的可行性。此方法为大口径高次凸非球面的检验提供了一个新的思路。

一类具p(·,·)结构和L^(1)源的非线性抛物方程解的存在性

该文主要证明了一类具变指数的抛物方程解的存在性结果.虽然源项的可积性不高,但是,零阶项产生的正则化效应帮助得到了L^(∞)估计.通过选取合适的检验函数,得到了逼近解序列{u^(ε)}ε必要的先验估计.运用Young测度方法,确定了非线性项的弱收敛元.

基于现实网络数据的通信感知一体化网络覆盖预测与优化

传统基于人工经验、试错迭代的低效方法已无法适应未来多功能网络的参数优化。为了提升通信感知一体化(ISAC)网络的优化效率以及服务质量,亟需建立系统级的全局网络性能建模与优化新范式。为此,提出了一种面向6G的ISAC网络覆盖预测与优化框架。该框架利用离线的现实网络数据与多波束信道建模的方法,实现任意天线参数下的ISAC网络性能预测,并且利用零阶块坐标下降等数学优化工具求解黑盒优化问题,实现网络参数的精准寻优。基于所提框架,我们对现实世界中的空地协同ISAC网络进行了系统级性能仿真,并对低空用户进行感知性能优化,对地面用户进行通信性能优化。基于真实现网数据的实验结果表明,所提方法在性能上显著超越了传统的建模与优化方法。

一类复微分差分多项式的零点分布

运用亚纯函数的Nevanlinna理论,讨论了一类复微分差分多项式的零点分布问题,刻画了这类复微分差分多项式有无穷多个零点,所获结果是已有结果的广泛形式。

400 Hz中频电源波形多重比例谐振控制策略

针对比例积分(PI)控制器难以实现输出电压无静差控制及低次谐波抑制困难等问题,提出一种单电压环多重比例谐振(PR)控制策略。分析了PR控制器的特性,给出了PR参数的设计方法,通过MATLAB进行了仿真验证,并在2 kVA样机上进行了实验验证。结果表明,所提策略可实现特定谐波的完全消除,输出电压波形总谐波失真小于1%,具有良好的稳态和动态性能。

The Growth of the Zero Dirichlet Series in Right Half Plane

The Dirichlet series of zero order in the half plane is studied and two theorems on their growth are obtained in this paper.

ZEROS OF ENTIRE SOLUTIONS TO COMPLEX LINEAR DIFFERENCE EQUATIONS

In this article, we study the complex oscillation problems of entire solutions to homogeneous and nonhomogeneous linear difference equations, and obtain some relations of the exponent of convergence of zeros and the order of growth of entire solutions to complex linear difference equations.

ON OSCILLATION THEOREMS FOR HIGHER ORDER DIFFERENTIAL EQUATIONS

ＯＮＯＳＣＩＬＬＡＴＩＯＮＴＨＥＯＲＥＭＳＦＯＲＨＩＧＨＥＲＯＲＤＥＲＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳ￥ＣｈｅｎＺｏｎｇｘｕａｎ（ＤｅｐｔｏｆＭａｔｈ，ＪｉａｎｇｘｉＮｏｒｍａｌＵｎｉｖ）ＮａｎｃｈａｎｇＡｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａｐ...

On Growth and Covering Theorem for Spiallike Mapping of Type β with Order α

In this paper, we consider growth and covering theorem for f（x）, where f（x） is spiallike mapping of type β with order α defined on unit ball B of complex Banach space, and x=0 is zero of order k＋1 for f（x）-x. We also dicate that the estimation is precise when β=0 and still give growth upper bound and distortion upper bound for subordinate mapping. This result include some results known.

ON HYPER-ORDER OF MEROMORPHIC SOLUTIONS OF FIRST-ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS

The authors give a precise estimate of the hyper-order of meromorphic solutions of general first-order algebraic differential equations.

具有F-P标准具照明系统的白光干涉仪测量量块的测量不确定度分析

文献[1]F-P标准具用于量块量值的传递与溯源一文(中国测试技术2012年增刊第2期54-58页)介绍具有F-P标准具的白光干涉仪检定量块的光学原理及其结构,以及检定F-P标准具的等倾干涉的原理。而进一步对具有F-P标准具的白光干涉仪检定量块的测量不确定度的分析,则由本文完成。该文首先对F-P标准具的检定及其测量不确定度就行了分析。量块尺寸在白光干涉仪上与标准具作比较测量。为减少标准具的数量,量块尺寸可以与两块或三块标准具组成的尺寸进行比较,也可以是由一块尺寸较小的标准具经过光学倍增法实现与被检量块尺寸相同进行比较。例如80mm的量块用40mm的标准具进行比较,这时在量块上的光路在标准具中多一次反射达到;90mm量块则用30mm标准具进行比较。他们也可以由两块标准具组成的尺寸进行比较。分析时以倍增法测量误差最大,以其进行计算。充分证明具有F-P标准具的白光干涉仪完全满足检定1等量块的要求。通过文献[1]及本文的介绍,映证该技术可以实现普及1等量块的检定及量块的自动化检定,特别适用于量块生产厂00级、K级、0级量块的自动化检定。