An extended functional transformation method and its application in some evolution equations

In this paper, an extended functional transformation is given to solve some nonlinear evolution equations. This function, in fact, is a solution of the famous KdV equation, so this transformation gives a transformation between KdV equation and other soliton equations. Then many new exact solutions can be given by virtue of the solutions of KdV equation.

Functionality evaluation of system of systems architecture based on extended influence diagrams

System of systems architecture（SoSA） has received increasing emphasis by scholars since Zachman ignited its flame in 1987. Given its complexity and abstractness, it is critical to validate and evaluate SoSA to ensure requirements have been met.Multiple qualities are discussed in the literature of SoSA evaluation, while research on functionality is scarce. In order to assess SoSA functionality, an extended influence diagram（EID） is developed in this paper. Meanwhile, a simulation method is proposed to elicit the conditional probabilities in EID through designing and executing SoSA. An illustrative anti-missile architecture case is introduced for EID development, architecture design, and simulation.

(G'/G)-Expansion Method Equivalent to Extended Tanh Function Method

在一篇最近的文章[物理信 A 372 (2008 ) 417 ] ，王等。建议了一个方法，它被叫(G'/G ) 扩大方法，寻找非线性的进化方程的旅行波浪答案。包含 KdV 方程， mKdV 方程，变体 Boussinesq 方程，和 Hirota 一种奶油色的陶器方程的参数的旅行波浪解决方案被使用这个方法获得。他们想(G'/G ) 扩大方法是一个新方法和许多非线性的进化方程的更多的旅行波浪答案能被获得。在这篇论文，我们将证明(G'/G ) 扩大方法等价于扩大 tanh 功能方法。

Extended Complex tanh-Function Method and Exact Solutions to （2＋1）-Dimensional Hirota Equation

在这篇论文，一个新扩大复杂 tanh 功能方法为构造旅行波浪，非旅行的波浪，和系数函数被介绍“非线性的方程的象 soliton 一样解决方案。这个方法比复杂 tanh 功能方法更强大[混乱， Solitons 和分数维图形 20 (2004 ) 1037 ] 。丰富的新答案(2+1 ) 维的 Hirota 方程被使用这个方法和符号的计算系统枫树获得。

Some Integral Inequalities of Simpson Type for Strongly Extended s-Convex Functions

The main purpose of this survey paper is to point out some very recent developments on Simpson’s inequality for strongly extended s-convex function. Firstly, the concept of strongly extended s-convex function is introduced. Next a new identity is also established. Finally, by this identity and H?lder’s inequality, some new Simpson type for the product of strongly extended s-convex function are obtained.

Applications of Extended Hyperbolic Function Method for Quintic Discrete Nonlinear SchrSdinger Equation

由使用扩大夸张函数方法，我们学习了 quinticdiscrete 非线性的 Schroedinger 方程并且获得了新准确局部性的解决方案包括分离明亮的 soliton 解决方案，黑暗 soliton 答案，bright 和黑暗 soliton 答案，轮流出现的阶段bright soliton 答案，轮流出现的阶段黑暗 soliton 答案，并且轮流出现阶段bright 和黑暗 soliton 答案，如果一种特殊关系对方程的系数约束力。

Exact Traveling Wave Solutions for the System of Shallow Water Wave Equations and Modified Liouville Equation Using Extended Jacobian Elliptic Function Expansion Method

In this work, an extended Jacobian elliptic function expansion method is proposed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to the system of shallow water wave equations and modified Liouville equation which play an important role in mathematical physics.

Adaptive micro-extended-analog-computer array with a linear Lukasiewicz function

A micro-extended-analog-computer （uEAC） is developed on the basis of Rubel＇ s extended analog computer（EAC） model. Through the uEAC mathematical model, the resistance properties of the conductive sheet, several feedback uEAC models, and a more flexible uEAC cell structure with a multi-level hierarchy are discussed. Futhermore, for the dynamic uEAC array with a linear Lukasiewicz function, a nonlinear differential equation description is presented, and then a sufficient global asymptotic stability condition is derived by utilizing a Lyapunov function and a Lipchitz function. Finally, comparative simulations for a cam servo mechanism system are conducted to verify the capability of the uEAC array as an adaptive controller.

Analysis to Some Solutions Obtained by Modified Extended tanh-Function Method

First, two tanh-coth type solutions of a class of nonlinear wave equation are derived by using a simplifiedmodified extended tanh-function method.Then, further analysis to some tanh-coth type solutions of nonlinear evolutionequations are given.The results show that when balance number m is one or two, the tanh-coth type solutions obtainedby the modified extended tanh-function method can be obtained by using the hyperbolic-function method.

Symbolic Computation of Extended Jacobian Elliptic Function Algorithm for Nonlinear Differential-Different Equations

The Jacobian elliptic function expansion method for nonlinear differential-different equations and its algorithm are presented by using some relations among ten Jacobian elliptic functions and successfully construct more new exact doubly-periodic solutions of the integrable discrete nonlinear Schrodinger equation. When the modulous m → 1or 0, doubly-periodic solutions degenerate to solitonic solutions including bright soliton, dark soliton, new solitons as well as trigonometric function solutions.

Extended Jacobian Elliptic Function Expansion Method and Its Applications in Biology

In this work, an extended Jacobian elliptic function expansion method is proposed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to Dynamical system in a new Double-Chain Model of DNA and a diffusive predator-prey system which play an important role in biology.

基于对数型障碍Lyapunov函数的俯仰驾驶仪设计

相控阵雷达制导拦截弹在拦截高速大机动目标时,弹体气动参数剧烈非线性变化影响控制系统对大攻角的响应效果,应设计考虑攻角指令跟踪误差约束的鲁棒自动驾驶仪控制律。基于双幂次趋近律和对数型障碍李雅普诺夫函数设计了鲁棒非线性自动驾驶仪控制律,可将攻角指令的跟踪误差快速收敛于约束范围内。通过降阶扩张状态观测器对系统中存在的气动参数不确定性和系统外部扰动进行在线估计和补偿。稳定性分析和数值仿真表明,攻角可在1 s内达到稳态且攻角响应的稳态误差<10-4°,所提出的自动驾驶仪控制律具有较强的鲁棒性,能够准确稳定地跟踪攻角指令,控制导弹产生所需过载进而精准拦截目标。

基于平滑GMS模型和改进扩张状态观测器的复合摩擦补偿

摩擦力是影响直线伺服系统低速运行与点对点定位精度的主要非线性扰动。广义麦克斯韦(generalized Maxwellslip,GMS)摩擦模型虽然可以准确描述摩擦特性用于前馈补偿,但其存在切换点过渡时振荡的问题,同时易受测量噪声和摩擦参数变化等影响。为此,该文提出基于平滑GMS模型和改进扩张状态观测器(extended state observer,ESO)的复合摩擦补偿策略。首先,引入过渡用双曲正切函数以解决GMS模型中在切换点的反复穿越问题,并给出该模型的离线辨识方法。其次,设计基于模型信息的四阶ESO补偿剩余摩擦力与未知扰动,并引入切比雪夫滤波器整定观测器增益,以降低扰动观测与噪声敏感之间的冲突。为验证所提摩擦补偿策略的有效性,在小型高精度永磁同步直线电机定位平台上进行定位实验。实验结果验证了所提摩擦补偿策略的可行性和有效性。

高直链淀粉玉米amylose-extender基因功能标记的开发及应用

直链淀粉的含量是玉米淀粉品质的重要指标,受隐性核基因amylose-extender(ae)控制。生产中直链淀粉含量的测定费时、费力,因此高直链淀粉玉米的改良需要寻找快速、简便、准确的基因检测方法。本实验对高直链淀粉玉米材料和普通玉米材料ae基因的cDNA进行了测序,结果显示高直链淀粉材料cDNA序列第9外显子(84bp)全部缺失。利用该缺失设计的玉米ae基因的功能标记(ae-InDel),能够检测出纯合基因型个体(AeAe和aeae)和杂合基因型个体(Aeae),该共显性标记能有效用于高直链淀粉玉米的分子标记辅助育种。

(2+1)维extended Kadomtsev-Petviashvili方程的混合型精确解

Kadomtsev-Petviashvili方程的类型非常多,描述很多数学物理现象,研究Kadomtsev-Petviashvili方程的精确解是非常有必要的。本文主要讨论(2+1)维extended Kadomtsev-Petviashvili方程。基于Hirota双线性形式和符号计算软件Mathematica,考虑指数函数,三角函数和双曲函数的混合,我们获得了(2+1)维extended Kadomtsev-Petviashvili方程一些新的混合型精确解,并利用一些三维图形展示了这些解的物理结构和特点。

含有调速器多死区环节的风水火系统频率稳定分析

“双高”背景下新型电力系统面临着非线性机理复杂的稳定问题,传统机组调速器与风电控制器中死区非线性组合间的相互作用,在一定程度上影响了系统的频率稳定性。为此,在奈氏定理的基础上探究不同死区非线性组合下系统频率振荡的影响规律,主要针对死区类型、死区大小和死区顺序3个方面进行研究,涉及单死区系统和多死区系统。理论分析了其非线性系统的稳定性,并根据稳定极限环条件求解系统的临界振幅和振荡频率。通过改变死区类型及顺序,影响机组对系统频率的支撑能力,指出了系统频率稳定与临界振幅的关系,并在Matlab/Simulink中对上述理论分析进行了仿真验证。结果表明机组死区大小和类型均会改变系统的临界振幅和振荡频率,为机组配置死区提供了一定的参考依据。

Annotation and Retrieval System of CAD Models Based on Functional Semantics

CAD model retrieval based on functional semantics is more significant than content-based 3D model retrieval during the mechanical conceptual design phase. However, relevant research is still not fully discussed. Therefore, a functional semantic-based CAD model annotation and retrieval method is proposed to support mechanical conceptual design and design reuse, inspire designer creativity through existing CAD models, shorten design cycle, and reduce costs. Firstly, the CAD model functional semantic ontology is constructed to formally represent the functional semantics of CAD models and describe the mechanical conceptual design space comprehensively and consistently. Secondly, an approach to represent CAD models as attributed adjacency graphs（AAG） is proposed. In this method, the geometry and topology data are extracted from STEP models. On the basis of AAG, the functional semantics of CAD models are annotated semi-automatically by matching CAD models that contain the partial features of which functional semantics have been annotated manually, thereby constructing CAD Model Repository that supports model retrieval based on functional semantics. Thirdly, a CAD model retrieval algorithm that supports multi-function extended retrieval is proposed to explore more potential creative design knowledge in the semantic level. Finally, a prototype system, called Functional Semantic-based CAD Model Annotation and Retrieval System（FSMARS）, is implemented. A case demonstrates that FSMARS can successfully botain multiple potential CAD models that conform to the desired function. The proposed research addresses actual needs and presents a new way to acquire CAD models in the mechanical conceptual design phase.

高等美术院校在社会美育建设中的功能研究

该文围绕当前国内美育发展过程中的具体情况,结合我国本土社会美育的特征,探讨以中国美术学院为代表的高等美术院校在社会美育建设中发挥的基础功能和拓展功能。高等美术院校本身能够提供丰富的美术作品、美育人才、学术研究、活动展出等,这也是高等美术院校所具有的基础功能。在深入推进中国式现代化背景下,高等美术院校在社会美育建设中的功能逐渐由单一向复合转变,从被动转向主动,从阶段性迈向终身性、全民性,高等美术院校在社会美育建设中功能得到延伸。该研究进一步厘清高等美术院校在社会美育建设中发挥的职能,以更好地发挥其在社会美育建设中的功能价值。