The Stability for the Hyperneutral Type Nonlinear Time Varying Control Systems(1)

We discuss the equivalence problem of hyperneutral type nonlinear time varying control system and linear time varying control system in the theory of stabilization.Making use of the symmetric positive definite solution of Riccati matrix differential equation which corresponds to the linear time varying control system, we construct the Lyapunov function.Then we provide the sufficent conditions which make that the zero solution of the hyperneutral type nonlinear time varying control systems is uniformly asymptotically stable by means of the Lyapunov equivalence decomposition method, and find the formulaes which can be used to estimate the bounds of the time delays and the nonlinear terms.

The effect of polymer type on electric breakdown strength on a nanosecond time scale

Based on the concepts of fast polarization, effective electric field and electron impact ionization criterion, the effect of polymer type on electric breakdown strength （EBD） on a nanosecond time scale is investigated, and a formula that qualitatively characterizes the relation between the electric breakdown strength and the polymer type is derived. According to this formula, it is found that the electric breakdown strength decreases with an increase in the effective relative dielectric constants of the polymers. By calculating the effective relative dielectric constants for different types of polymers, the theoretical relation for the electric breakdown strengths of common polymers is predicted. To verify the prediction, the polymers of PE （polyethylene）, PTFE （polytetrafluoroethelene）, PMMA （organic glass） and Nylon are tested with a nanosecond-pulse generator. The experimental result shows EBD （PTFE） 〉 EBD （PMMA） 〉 EBD （Nylon） 〉 EBD （PE）. This result is consistent with the theoretical prediction.

Energy-Momentum Density of Non-Diagonal Bianchi Type Space-Time in General Relativity and Teleparallel Gravity

We calculated the energy-momentum density of non-diagonal Bianchi type space-time in two different theories of gravity, General relativity (GR) and the theory of Teleparallel gravity (TG). Firstly, by applying Einstein, Landau-Lifshitz, Bergmann-Thomson and Møller prescriptions, using double index complexes in GR. Secondly, in the frame work of TG, we used the energy momentum complexes of Einstein, Bergmann-Thomson and Landau-Lifshitz. We also study the spacial cases of non-diagonal Bianchi type space-time BII, BVIII and BIX. We obtained the same energy-momentum density components for Einstein and Bergmann-Thomson prescriptions for the above four mentioned space-times that we considered in our work. Also, we found that the energy density component in Møller prescription is zero for all Bianchi types space-times in GR. Furthermore, we show that if the metric components are functions of time t alone, then the total gravitational energy is identically zero.

Existence of Periodic Solutions for Neutral-Type Neural Networks with Delays on Time Scales

In this paper, we employ a fixed point theorem due to Krasnosel’skii to attain the existence of periodic solutions for neutral-type neural networks with delays on a periodic time scale. Some new sufficient conditions are established to show that there exists a unique periodic solution by the contraction mapping principle.

Time-delay effects on the dynamics of Linard type equation with fast and slow variables

Time-delay effects on the dynamics of Li^nard type equation with one fast variable and one slow variable are investigated in the present paper. By using the methods of stability switch and geometric singular perturbation, time-delay-induced complex oscillations and bursting are investigated, and in several case studies, the mechanism of the generation of the complex oscillations and bursting is illuminated. Numerical results demonstrate the validity of the theoretical results.

Multi-type ant system algorithm for the time dependent vehicle routing problem with time windows

The time dependent vehicle routing problem with time windows（TDVRPTW） is considered. A multi-type ant system（MTAS） algorithm hybridized with the ant colony system（ACS）and the max-min ant system（MMAS） algorithms is proposed. This combination absorbs the merits of the two algorithms in solutions construction and optimization separately. In order to improve the efficiency of the insertion procedure, a nearest neighbor selection（NNS） mechanism, an insertion local search procedure and a local optimization procedure are specified in detail. And in order to find a balance between good scouting performance and fast convergence rate, an adaptive pheromone updating strategy is proposed in the MTAS. Computational results confirm the MTAS algorithm＇s good performance with all these strategies on classic vehicle routing problem with time windows（VRPTW） benchmark instances and the TDVRPTW instances, and some better results especially for the number of vehicles and travel times of the best solutions are obtained in comparison with the previous research.

Effects of Seed Maturity of Turf-Type Tall Fescue on the Seed Vigor and the Optimal Harvesting Time

By assay of accelerated aging germination, germination index, vigor index, seedling length, seedling weight, electric conductivity, dehydrogenase activity, ATP content and acid phosphoesterase activity during seed development of turf-type tall fescue, the seed vigor of tall fescue were studied. Combining with seed moisture content and yield, the optimal harvesting time of tall fescue was determined. The results indicated that the seed vigor increased continuously along with seed maturity, and the higher seed vigor was achieved at 19th day after perk anthesis and maintained continuously until 31st day after peak anthesis. At 25th day after peak anthesis, the highest yield of 3 533 kg ha-1 and the good quality of seeds of tall fescue were harvested with 32.19% moisture content. From 22nd to 31st day after peak anthesis, the seed yield of 3 300 kg ha-1 and the good quality seeds of tall fescue were harvested with 40 - 12. 43% moisture content, and the span was the optimal harvesting time.

Integral Inequality of Hardy-Type on Time Scales

Inequalities are essential in the study of Mathematics and are useful tools in the theory of analysis. They have been playing a critical role in the study of the existence and uniqueness properties of solutions of initial and boundary value problems for differential equations as well as difference equations with their bounds. In this paper, we obtain new integral inequalities mainly by using some known inequalities. Various generalizations of Hardy's inequality are special cases of the results therein.

Bianchi Type-IX Anisotropic Dark Energy Cosmological Models with Time Dependent Deceleration Parameter

Bianchi type-IX cosmological models with variable equation of state (EoS) parameter have been investigated in general relativity when universe is filled with dark energy. The field equations have been solved by considering (i) q=B (variable);(ii) , where k and m are constants;(iii) , where k is constant and R is average scale factor;(iv) which gives . This renders early decelerating and late time accelerating cosmological models. The physical and geometrical properties of the models are also discussed.

Numerical Solutions for the Time-Dependent Emden-Fowler-Type Equations by B-Spline Method

A numerical method based on B-spline is developed to solve the time-dependent Emden-Fow- ler-type equations. We also present a reliable new algorithm based on B-spline to overcome the difficulty of the singular point at x = 0. The error analysis of the method is described. Numerical results are given to illustrate the efficiency of the proposed method.

人类命运共同体理念的建构历程及理论价值

人类命运共同体理念是中国站在世界全局视角提出的顶层设计,是应对百年未有之大变局中全球性问题的中国答卷。中国对共同体的认识和发展根植于伟大的社会主义实践,深刻反映了中国革命、改革和建设中的诸多重大理论问题和现实问题,是对中国历年发展成果的经验总结,呈现出从实践到理论、再从理论到实践的辩证发展过程。人类命运共同体理念开辟了马克思主义中国化时代化新境界,是马克思主义立场、观点和方法的当代运用,凸显了马克思主义“实践是理论的源泉”的理论特质,是马克思“人的自由全面发展”思想的逻辑延续。人类命运共同体理念具有世界性,在继承中国优秀传统文化基因的基础上,凝聚人类文明新共识、形塑人类文明新形态。

Global Existence and Large Time Asymptotic Behavior of Strong Solution to the Cauchy Problem of 2D Density-Dependent Boussinesq Equations of Korteweg Type

In this paper, we study the Cauchy problem of the density-dependent Boussinesq equations of Korteweg type on the whole space with a vacuum. It is proved that there exists a unique strong solution for the two-dimensional Cauchy problem established that the initial density and the initial temperature decay not extremely slow. Particularly, it is allowed to be arbitrarily large for the initial data and vacuum states for the initial density, even including the compact support. Moreover, when the density depends on the Korteweg term with the viscosity coefficient and capillary coefficient, we obtain a consistent priority estimate by the energy method, and extend the local strong solutions to the global strong solutions. Finally, when the pressure and external force are not affected, we deform the fluid models of Korteweg type, we can obtain the large time decay rates of the gradients of velocity, temperature and pressure.

燃气管道安全事故统计分析

为提高我国燃气管道的安全管理水平,预防燃气管道事故的发生,通过网络搜索、文献查阅等途径,对2010—2022年国内80起附有详细调查报告的燃气管道事故进行了统计分析。分别从事故的时间特性、类型和等级、事故致因3个方面,采用卡方检验分析了不同等级事故致因之间的关联性,并基于“5W”分析法提取风险因素,结合结构解释模型,构建了燃气管道安全事故致因演化路径,揭示了事故发生的规律,最后在分析结果的基础上提出了具有针对性的措施和建议。

基于干扰观测器的升力式飞行器改进离散滑模控制研究

升力式飞行器具有飞行空域宽、速度变化范围大、机动性强等特点,是近年来国内外的研究热点。本文针对升力式飞行器模型大不确定及外界干扰强带来的控制难题,提出了一种基于干扰观测器的改进离散滑模变结构控制方法。首先,建立了俯仰通道的离散控制模型。其次,设计了一种基于干扰估计的改进离散滑模变结构控制律,并证明了其稳定性。再次,分析了参数选择对控制系统的影响,验证了控制律的有效性。最后,与传统的离散滑模变结构控制方法进行了比较。仿真结果表明,与传统的离散滑模控制方法相比,本文提出的控制律控制精度更高、鲁棒性更强、滑模面收敛速度更快及抖振更小,可有效提高升力式飞行器的飞行品质,实现复杂任务的稳定控制。

跳汰中煤深度磨矿解离与组合药剂强化浮选试验研究

炼焦中煤的解离再选对于回收稀缺炼焦煤资源的意义重大。以鹤壁煤电股份有限公司某炼焦煤选煤厂的跳汰中煤为试验对象,通过深度磨矿解离与组合药剂复合强化浮选开展中煤再选试验研究。结果表明:跳汰中煤破碎至<0.5mm后,煤样中连生体较多且合适粒级占比较低;最佳磨矿时间为3 min,对应的浮选精煤产率在各磨矿时间中最高,相应磨矿产品中<0.074 mm粒级的产率为66.22%;捕收剂1600三元及起泡剂Q7用量分别为500g/t和150g/t时浮选指标最佳,通过一粗一精的工艺流程可获得产率为53.83%、灰分为10.25%的精煤,实现了跳汰中煤的高效解离再选。

持续血糖监测评估的目标范围内时间与老年2型糖尿病患者蛋白尿的相关性研究

目的探讨老年2型糖尿病(T2DM)患者目标范围内时间(TIR)与糖尿病蛋白尿的关系。方法回顾性分析2016年10月—2020年8月上海市第八人民医院住院的176例老年T2DM患者临床资料。按患者的尿微量蛋白/尿肌酐比值分为正常蛋白尿组(n=99)、微量蛋白尿组(n=51)和大量蛋白尿组(n=26),比较3组一般资料及持续血糖监测指标。Spearman相关系数分析及多元序回归分析TIR四分位数与糖尿病蛋白尿严重程度的相关性。结果3组间性别、T2DM病程、高血压构成比、吸烟史、胰岛素使用、血管紧张素转换酶抑制剂及血管紧张素II受体阻滞剂使用、他汀类药物使用、收缩压、总胆固醇、低密度脂蛋白胆固醇、估算肾小球滤过率、平均血糖波动幅度、TIR及糖尿病视网膜病变患病率差异有统计学意义(P<0.05)。TIR四分位数与蛋白尿严重程度呈负相关(r=-0.407,P<0.001)。TIR越高,老年T2DM患者发生蛋白尿风险降低。结论TIR可能与老年T2DM患者蛋白尿的发病风险及严重程度有关。

鸽腺病毒通用型实时荧光PCR检测方法的建立与应用

鸽腺病毒(pigeon adenovirus,PiAdV)是影响鸽产业健康发展的重要病原之一。为实现PiAdV的高通量快速检测,根据GeneBank登录的PiAdV-A种和PiAdV-B种病毒pⅧ基因序列的共同保守区域设计特异性检测引物和探针,经反应条件优化,建立了一种PiAdV通用型实时荧光PCR检测方法,并对该方法进行了特异性、敏感性、重复性试验。结果显示:该方法的最佳探针浓度为0.2μmol/L,与鸽群其他常见病毒无交叉反应,对PiAdV的最低检测限为56.9 copies/μL,比常规PCR敏感性高100倍,组内和组间重复变异系数均小于1.8%。利用该方法和常规PCR方法对20份疑似PiAdV感染样品进行检测,发现PiAdV通用型实时荧光PCR检测方法的病毒阳性检出率高于常规PCR方法。结果表明,本研究建立的PiAdV通用型实时荧光PCR检测方法特异性强、敏感性高、可靠性好,可用于PiAdV感染的临床检测及流行病学调查。

基于高度层与飞机类型的航路利用率研究

航路利用率表征了空域中航路的利用情况.为了更加准确地计算航路的利用率,针对在航路上不同的高度层对不同类型的飞机具有不同的适用性问题,根据不同高度层和飞机类型的组合情况,从时间、空间、容量三个角度建立了一种基于高度层与飞机类型的航路利用率计算模型.在考虑航路利用率的多维影响因素方面有了突破,通过算例分析计算得到某四条航路的利用率.

计时起立-行走测试对老年2型糖尿病周围神经病变病人跌倒预测与风险评估价值研究

目的:分析计时起立-行走测试(TUGT)对老年2型糖尿病周围神经病变病人跌倒风险的评估价值。方法:回顾性分析2020年1月—2022年12月在我院内分泌科纳入治疗的2型糖尿病周围神经病变病人120例为研究对象,收集病人一般资料、TUGT测试结果,采用SPSS 22.0、R Studio 1.4.1103进行联合数据分析,研究相关性和预测价值。结果:本研究纳入的120例病人均顺利完成TUGT测试,完成率为100%,数据收集率为100%。所有病人TUGT时间为(16.03±3.29)s。Spearman相关性分析结果显示,TUGT时间与跌倒史、性别之间呈正相关(P<0.05);TUGT时间与2型糖尿病病程、合并周围神经病变病程、年龄之间无明显相关关系。TUGT时间用于预测老年2型糖尿病周围神经病变病人跌倒风险的最佳临界值为14.19 s,受试者工作特征曲线(ROC)曲线下面积(AUC)值为0.773,敏感度为86.29%,特异度为67.16%。结论:跌倒史、性别是影响老年2型糖尿病周围神经病变病人TUGT时间的危险因素,同时,TUGT时间对老年2型糖尿病周围神经病变病人跌倒具有良好的预测价值。

单相激励电容式时栅角位移传感器研究

针对现有多相激励时栅角位移传感器在小体积时无法设置更多极对数进一步提升稳定性,导致精度和动态性能指标无法得到提升等问题,提出一种单相激励电容式时栅角位移测量方法。该方法采用单相激励耦合成四路空间正交的驻波信号,通过电路实现行波构造,从而实现角位移测量。文中介绍了多相激励时栅传感器存在的问题、单相激励时栅的测量原理,完成了传感器样机的研制,并通过实验验证该原理的有效性。实验结果表明,相同尺寸和相同电极数量情况下,单相激励传感器的精度和动态性能指标优于多相激励传感器,单相激励传感器精度为±20″,稳定性为10″,400 rpm转速下速度波动为±1.25%,跟随误差为±2.5″,满足直驱电机的使用要求。