Fixed-Time Consensus-Based Nash Equilibrium Seeking

Dear Editor,This letter examines the fixed-time stability of the Nash equilibrium(NE)in non-cooperative games.We propose a consensus-based NE seeking algorithm for situations where players do not have perfect information and communicate via a topology graph.The proposed algorithm can achieve NE in a fixed time that does not depend on initial conditions and can be adjusted in advance.

Effect of the Particle Packing Configuration on Fixed Bed Performance

Fixed-bed reactors are generally considered the optimal choice for numerous multi-phase catalytic reactions due to their excellent performance and stability.However,conventional fixed beds often encounter challenges related to inadequate mass transfer and a high pressure drop caused by the non-uniform void fraction distribution.To enhance the overall performance of fixed beds,the impact of different packing configurations on performance was investigated.Experimental and simulation methods were used to investigate the fluid flow and mass transfer performances of various packed beds under different flow rates.It was found that structured beds exhibited a significantly lower pressure drop per unit length than conventional packed beds.Furthermore,the packing configurations had a critical role in improving the overall performance of fixed beds.Specifically,structured packed beds,particularly the H-2 packing configuration,effectively reduced the pressure drop per unit length and improved the mass transfer efficiency.The H-2 packing configuration consisted of two parallel strips of particles in each layer,with strips arranged perpendicularly between adjacent layers,and the spacing between the strips varied from layer to layer.

三隧道Femoral-Intrafix固定双束重建对前交叉韧带损伤患者膝关节稳定性及功能的影响

目的探讨三隧道Femoral-Intrafix固定双束重建对前交叉韧带损伤患者膝关节稳定性及功能的影响。方法选取华北医疗健康集团峰峰总医院2019年11月至2020年11月收治的54例膝关节前交叉韧带损伤患者,采用随机抽签法将其分为观察组和对照组,各27例。对照组采用单隧道单束重建术,观察组采用三隧道Femoral-Intrafix固定双束重建,两组术后均随访24个月。比较两组手术及术后情况,比较两组术前及术后24个月的关节功能、膝关节稳定性差异,记录两组术后并发症发生情况。结果观察组住院、负重、下床活动时间均短于对照组(P<0.05)。术后24个月,两组国际膝关节评分委员会评分、Lysholm评分高于术前,且观察组高于对照组(P<0.05)。术后24个月,两组前抽屉试验、Lachman试验阳性率低于术前,且观察组轴移试验阳性率低于本组术前和对照组(P<0.05);对照组轴移试验阳性率与本组术前比较,差异无统计学意义(P>0.05)。两组并发症总发生率比较,差异无统计学意义(P>0.05)。结论三隧道Femoral-Intrafix固定双束重建能够更好地恢复患者膝关节功能和旋转稳定性,值得临床推广。

Vision-Based Fixed-Time Uncooperative Aerial Target Tracking for UAV

Dear Editor,In this letter,a vision-based fixed-time control is proposed for an unmanned aerial vehicle(UAV)with actuator saturation to track an uncooperative target.The fixed-time control is designed in backstepping framework.The relative states between UAV and the target are not directly measured,and are estimated by an onboard monocular camera.

Liquid-phase esterification of methacrylic acid with methanol catalyzed by cation-exchange resin in a fixed bed reactor:Experimental and kinetic studies

The kinetic behavior of esterification between methacrylic acid and methanol catalyzed by NKC-9 resin was studied in a fixed bed reactor.The reaction was conducted in the temperature range of 323.15 to 368.15 K with the molar ratio of reactants from 0.8 to 1.4 under certain pressure.The measurement data were regression with the pseudo-homogeneous(P-H),Eley-Rideal(E-R),and Langmuir-Hinshelwood(L-H)heterogeneous kinetic models.Independent adsorption experiments were implemented to gain the adsorption equilibrium constants of four components.Among the above three models,the L-H model exhibited the best fitting results.The stability of NKC-9 was evaluated by long-term running with the yield of methyl methacrylate no decrease during 3000 h operation.The structure and physicochemical properties of the new and used catalyst were performed by several characterizations including thermogravimetric analysis(TG),scanning electron microscope(SEM),X-ray diffraction(XRD)and Fourier transform infrared spectroscopy(FT-IR)and so on.

Relay-Switching-Based Fixed-Time Tracking Controller for Nonholonomic State-Constrained Systems:Design and Experiment

Dear Editor,This letter investigates the fixed-time trajectory tracking controller design for nonholonomic chained systems with static state constraints.Firstly,a fixed-time tracking control law is given to carry out relay switching,which divides the controller development process into two stages.

Efficacy and safety of latanoprost/timolol fixed combination dosed twice daily compared to once daily in patients with primary open angle glaucoma

AIM:To evaluate whether latanoprost/timolol fixed combination(LTFC)dosed twice daily may provide further intraocular pressure(IOP)reduction and evaluate the safety profile at this dose.METHODS:This is an open-labeled,randomized,prospective crossover study on fourty primary open angle glaucoma patients.Two weeks of washout period were followed by randomization to either once daily(OD,group A)or twice daily dosing(BD,group B)of LTFC for 4wk.After another 2-week washout period,the patients’treatment dose was crossed-over for another 4wk.IOP reduction alongside ocular and systemic side effects were evaluated.RESULTS:Mean baseline IOP was 18.57±2.93 and 17.8±3.01 mm Hg before OD and BD dose respectively,(P=0.27).Mean IOP after BD dose was statistically lower(12.49±1.59 mm Hg)compared to OD(13.48±1.81 mm Hg,P=0.017).Although IOP reduction after BD dose was more(5.32±3.24 mm Hg,29.89%)than after OD dosing(5.04 mm Hg,27.14%),it did not reach statistical significance(P=0.68).Patients switched from OD to BD(group A)showed mean IOP reduction by 0.69 mm Hg[95%confidence interval(CI):-0.09 to 1.48 mm Hg,P=0.078];but patients switched from BD to OD(group B)had significantly higher mean IOP by 1.25 mm Hg(95%CI:-2.04 to-0.46 mm Hg,P=0.006).BD dose had more ocular side effects albeit mild.CONCLUSION:Mean IOP after LTFC dosed twice daily is statistically lower,with additional mild side effects.

Adsorption dynamics of ethane from air in structured fixed beds with different microfibrous composites

Adsorption dynamics of ethane in two granular fixed beds and structured fixed beds with microfibrous composites was studied.5A zeolite membrane 5A/PSSF(paper-like sintered stainless steel fiber)and microfibrous entrapped activated carbon(MEAC)composites were prepared by wet layup papermaking/sintering technique and in-situ hydrothermal method.Microfibrous composites were characterized by X-ray diffraction,scanning electron microscopy and N2 adsorption/desorption.Structured fixed beds were designed by filling granular adsorbents(5A zeolite or activated carbon)and microfibrous composites at the inlet and outlet of the beds,respectively.Effects of flow rate,bed height and structure on the breakthrough curves were investigated.The length of unused bed(LUB)was determined,and Yoon–Nelson model was used to fit the breakthrough curves.The experimental results showed ethane was effectively adsorbed on the granular adsorbents and microfibrous composites.Both composites could decrease the LUB values and enhance bed utilization.All breakthrough curves fitted well to Yoon–Nelson model,with correlation coefficient exceeding 0.89.The adsorption rate of ethane could be improved in the structured fixed beds,which showed an enhanced mass transfer efficiency for ethane adsorption.LUB values of structured fixed beds with 5A/PSSF composites were larger,the bed utilization values were lower,and the adsorption rate constants were higher than those with MEAC composites under the same conditions.

A fixed point theorem for Proinov mappings with a contractive iterate

In this paper,we consider the fixed point theorem for Proinov mappings with a contractive iterate at a point.In other words,we combine and unify the basic approaches of Proinov and Sehgal in the framework of the complete metric spaces.We consider examples to illustrate the validity of the obtained result.

Solving Fractional Differential Equations via Fixed Points of Chatterjea Maps

In this paper,we present the existence and uniqueness of fixed points and common fixed points for Reich and Chatterjea pairs of self-maps in complete metric spaces.Furthermore,we study fixed point theorems for Reich and Chatterjea nonexpansive mappings in a Banach space using the Krasnoselskii-Ishikawa iteration method associated withSλand consider some applications of our results to prove the existence of solutions for nonlinear integral and nonlinear fractional differential equations.We also establish certain interesting examples to illustrate the usability of our results.

On Some Novel Fixed Point Results for Generalized F-Contractions in b-Metric-Like Spaces with Application

The focusofourwork is on themost recent results infixedpoint theoryrelated tocontractivemappings.Wedescribe variants of(s,q,φ,F)-contractions that expand,supplement and unify an important work widely discussed in the literature,based on existing classes of interpolative and F-contractions.In particular,a large class of contractions in terms of s,q,φand F for both linear and nonlinear contractions are defined in the framework of b-metric-like spaces.The main result in our paper is that(s,q,φ,F)-g-weak contractions have a fixed point in b-metric-like spaces if function F or the specified contraction is continuous.As an application of our results,we have shown the existence and uniqueness of solutions of some classes of nonlinear integral equations.

An Iterative Method for Split Variational Inclusion Problem and Split Fixed Point Problem for Averaged Mappings

In this paper, we use resolvent operator technology to construct a viscosity approximate algorithm to approximate a common solution of split variational inclusion problem and split fixed point problem for an averaged mapping in real Hilbert spaces. Further, we prove that the sequences generated by the proposed iterative method converge strongly to a common solution of split variational inclusion problem and split fixed point problem for averaged mappings which is also the unique solution of the variational inequality problem. The results presented here improve and extend the corresponding results in this area.

A Proof of Brouwer’s Fixed Point Theorem Using Sperner’s Lemma

This article offers a simple but rigorous proof of Brouwer’s fixed point theorem using Sperner’s Lemma.The general method I have used so far in the proof is mainly to convert the n-dimensional shapes to the corresponding case under the Sperner’s Labeling and apply the Sperner’s Lemma to solve the question.

CARISTI TYPE HYBRID FIXED POINT THEOREMS IN MENGERPROBABILISTIC METRIC SPACE

This paper brings forward the concept of Caristi type hybrid fixed point in M-PM-space, by giving two hybrid fixed point theorems and two common hybrid fixed point theorems of sequences of set-valued mappings, the theorems improve and generalize the Caristi's fixed point and correspond to recent important results.

浅剖中定位FIX号方法研究

FIX号是深水浅剖资料与钻井、多波束以及其他地质资料对比的标志号。野外采集的SEGY格式的浅剖数据没有记录导航FIX号信息,未记录FIX号信息的SEGY数据无法为实际目标区域其他数据相对应,不便于为后续资料解释提供可对比的地理位置,从而降低识别天然气水合物层、天然气渗漏或扩散引起的沉积物声学异常特征的精度。这里提出了利用时间信息在浅剖中定位FIX号的方法,根据导航数据中FIX号、时间信息和浅剖数据中炮号、时间信息,通过二者时间信息进行匹配来标定FIX号。在linux系统下,利用awk编程语言编写模块程序与Focus 5.4地震资料处理系统模块结合使用,用于提取每条剖面的每道道头时间和相对应的导航数据时间;再用awk编程语言编写特殊处理模块程序,将地震道头时间与导航FIX号时间进行匹配处理,将匹配好的FIX信息依次植入浅剖道头数据中。该方法为资料的综合解释提供了准确的FIX号信息和可对比的地理位置。

颈椎前路减压Inter Fix椎体间融合

目的 观察颈椎前路减压InterFix椎体间融合的稳定性及融合效果。方法 采用前路减压InterFix椎体间融合术治疗颈椎病及颈椎间盘突出症 2 7例 ,术后定期摄颈椎X线片检查 ,观察手术椎节的稳定性和融合情况。结果 随访 7～ 19个月 ,术后次日即下床活动 ,手术节段稳定 ,术后 3～ 4个月融合。结论 InterFix颈椎椎体间固定融合技术使施术椎节立即稳定 ,避免了自体植骨引起的并发症 ,可作为颈椎前路减压后椎体间融合的一种方法。

被动全向浮标LOFIX定位精度仿真分析

在LOFIX定位原理的基础上，建立了被动全向浮标LOFIX定位数学模型，通过计算机仿真分析了浮标接收信号声强比、声纳作用距离以及浮标布放阵形对被动全向浮标LOFIX定位精度的影响，并结合实际应用对仿真结果进行分析验证，结论为：反潜机在布放被动全向浮标时的最优布放间距应该是在1～1．5倍浮标作用距离之间；如果决定采用被动全向浮标LOFIX定位，则应尽量避免将浮标布放成直线阵。这些结论将为反潜机执行搜潜作战任务时，合理选择浮标的布放间隔和布放阵形提供理论依据。

FIX组态软件在微机监控系统中的二次开发与应用

介绍了FIX组态软件 ,详细给出了其在兖州矿区焦化厂生产微机监控系统中的设计、应用与二次开发情况 ,并指出了存在问题和使用注意事项。

基于Fix和PLC的SCADA系统在火电厂水处理控制系统中的应用

文章以石门电厂补给水程控系统改造为例 ,介绍了一种基于Fix软件和PLC的SCADA控制系统 ,阐述了该系统的构成、硬件配置 ,并详细介绍了Fix软件开发和PLC软件编制的过程。其运行结果表明该控制系统可靠性较高 ,运行稳定 。