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.

The Blow-Up Phenomena for the Camassa-Holm Equation with a Zero Order Dissipation

In this paper, we study the Cauchy problem of the Camassa-Holm equation with a zero order dissipation. We establish local well-posedness and investigate the blow-up phenomena for the equation.

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PSO-CNN模型和流固耦合的三角钢闸门优化算法

针对大型三角钢闸门流固耦合下优化设计工作量巨大、计算机难以短时间实现的问题,提出PSO-CNN模型即粒子群算法优化卷积神经网络模型,以改善仿真模型计算效率和普通神经网络模型计算精度的问题。对比PSO-CNN模型与CNN模型误差曲线与偏离度预测图,PSO-CNN模型的预测精度明显高于CNN卷积神经网络算法的预测精度。根据考虑流固耦合作用下闸门的一阶频率变化,采用全局随机灵敏度分析方法筛选出圆管型支臂的管外径、圆管型支臂管壁厚度和面板厚度作为模型主导参数。结合ANSYS平台opt分析模块零阶优化算法求得主导参数的优化结果,优化后闸门流固耦合后频率远离水流脉冲频率,使该弧形闸门具有良好动力性能。

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

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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.

“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.

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.

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。

ROBUST ZERO-WATERMARK ALGORITHMS BASED ON NUMERICAL RELATIONSHIP BETWEEN ADJACENT BLOCKS

In this paper, three robust zero-watermark algorithms named Direct Current coefficient RElationship (DC-RE), CUmulant combined Singular Value Decomposition (CU-SVD), and CUmulant combined Singular Value Decomposition RElationship (CU-SVD-RE) are proposed. The algorithm DC-RE gets the feature vector from the relationship of DC coefficients between adjacent blocks, CU-SVD gets the feature vector from the singular value of third-order cumulants, while CU-SVD-RE combines the essence of the first two algorithms. Specially, CU-SVD-RE gets the feature vector from the relationship between singular values of third-order cumulants. Being a cross-over studying field of watermarking and cryptography, the zero-watermark algorithms are robust without modifying the carrier. Numerical simulation obviously shows that, under geometric attacks, the performance of CU-SVD-RE and DC-RE algorithm are better and all three proposed algorithms are robust to various attacks, such as median filter, salt and pepper noise, and Gaussian low-pass filter attacks.

A New Eighth Order Implicit Block Algorithms for the Direct Solution of Second Order Ordinary Differential Equations

This paper focuses on derivation of a uniform order 8 implicit block method for the direct solution of general second order differential equations through continuous coefficients of Linear Multi-step Method (LMM). The continuous formulation and its first derivatives were evaluated at some selected grid and off grid points to obtain our proposed method. The superiority of the method over the existing methods is established numerically.

实际矿石过筛粒度的磨矿动力学特征

以实际磁铁矿石为研究对象,首先采用钢球、瓷球和二元介质3种介质环境进行批次磨矿实验;然后,使用标准套筛对各磨矿产品筛析,获得粒度特性曲线;最后,对过筛粒度进行统计学分析和线性回归计算,得到实际磁铁矿石在不同磨矿介质环境下的过筛粒度磨矿动力学特征。研究结果表明:宽粒级实际矿石过筛粒度变化速率受磨矿时间影响,不符合一阶动力学,但具备n阶动力学特征,线性回归计算的精度较高;磨矿介质环境虽然会对过筛粒度动力学参数产生影响,但不会改变过筛粒度的动力学变化行为,仍符合n阶动力学特征;细粒级磁铁矿石的过筛粒度与磨矿时间的线性相关性不显著(R^(2)<0.90),不具备零阶产出特征,而具备显著的幂函数特征(R^(2)>0.99);实际磁铁矿石过筛粒度动力学预测模型展开式为指数函数嵌套的二元复合函数,其中参数函数s(x)和m(x)没有特定函数特征,均为四阶多项式函数,符合n阶磨矿动力学变化规律,可以准确预测过筛粒度的变化趋势,弥补常规累积产率动力学对磨矿特征表征的不足。

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。

基于ENZ结构的紧凑型太赫兹波导双工器设计

本文介绍了一种基于ENZ(epsilon-near-zero)结构的紧凑型太赫兹波导双工器设计。ENZ结构通过在金属波导中引入亚波长狭缝实现,该结构在特定频率范围内介电常数接近于零,能够有效产生零阶谐振(ZOR)和法布里-珀罗谐振(FPR)。本文首先分析了ENZ结构的原理及其谐振特性,然后提出了两种基于ENZ结构的滤波器设计,并进一步设计了两种构型的双工器。仿真结果表明,基于ENZ结构的双工器在D波段范围内实现了高效的频率分离和信号合成,且具有良好的隔离度和回波损耗特性。与传统设计相比,该设计具有体积小、性能优越的优势,有望应用于未来的太赫兹通信系统中。