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This paper,by means of a new method,the graph theory,reanalyses the stability of antisymmetric discrete Hopfield networks,avoiding the construction of energy function.The nessesary and sufficient conditions for a network to converge to a cycle of length 4 are presented,and the number of cycles of length 4 associated with a p-order antisymmetric discrete Hopfield network is discussed,with some suspicions presented.

本文应用一种新的方法——图论方法重新系统地研究了反对称离散Hopfield网络的稳定性理论,这种方法回避了构造能量函数的麻烦,本文给出了网络收敛于长度为4的环吸引子的充分及必要条件,讨论了p阶反对称离散Hopfield网络含有长度为4的环吸引子的数目,并提出了几个尚待解决的猜想。

Convert relationship of prototype robot joint angle and equivalent model joint angle is presented based on the method of kinematics inverse solution. The Jacobian algorithm of redundant robot for achieving effective joint excursion is studied, which is fit for digital calculating. The grads projection algorithm of redundant robot multi optimizing capability function's proportion factor is deduced. The issues of apery arm robot singularity and joint self-movement are researched. The simulation experiment result of apery arm joint self-movement and line movement is presented.

因为七自由度拟人手臂机器人的建模比较困难,采用了在等效模型下求解其运动学逆解的方法,给出了原机器人机构关节角与等效模型关节角之间的转换关系;提出了一种适于数值计算的有效的求解有关节偏置的冗余度机器人Jacobian的算法,并在此基础上推导了冗余度机器人多优化性能指标函数的均衡比例因子梯度投影算法;研究了拟人手臂机器人的奇异问题和关节自运动问题;给出了拟人手臂进行关节自运动和进行直线轨迹跟踪的仿真实验结果。

Results: All epidermoid cysts presented hyperintense signal.and the arachnoid cyst presented signal like CSF on diffusion-weighted imaging.

结果:所有表皮样囊肿在弥散加权成像上均表现为高信号,蛛网膜囊肿在弥散加权成像上成低信号。

First, under certain detectability that the system satisfies, the sufficient conditions are presented for the asymptotic convergence of the observer error by using the singular value theory. The method of solving gain matrix is presented based on the Riccati equation.

首先, 当系统满足某种可检测性时,利用奇异值理论得到了使得观测误差渐近收敛的增益矩阵需满足的充分性条件,并基于Riccati方程给出了计算增益矩阵的方法。

Simulation results are presented to illustrate that the method presented in the paper is feasible and asymptotic stability of the closed system is ensured.

仿真结果表明该方法是可行的,有效地防止了系统的颤振和不确定因素的影响。

The experiment results of real SAR scenes show that the presented scheme has the characteristics of strong robustness, extensive practicability, high automatic on low computation and easy realization. Therefore, the presented scheme has the extensive prospect for spatial earth observation.

实测数据的实验结果证明了新方案具有稳健性强、适用性广、自动化程度高、计算量小、工程实现易等特点,说明了该方案对于空间对地观测具有广泛的应用前景。

Fourthly,a Fast Back Projection algorithm is presented.It sloves the problem of large computational load of BP algorithm and the condition of dividing the subapterture is presented.

接着提出了一种快速后向投影算法,解决了BP算法计算量大的问题,给出了子孔径划分的条件。

First, the formal representation of the search environment is established, the multi-UAV is modeled as a controlled system and the predictive model of the system is presented. Considering the uncertainty of the sensor measurement and the environment, a Search Probability Map is defined and the updating method based on Bayes formula is presented. Based on SPM, information gain is defined to measure the search effects and used to be the optimization object in the predictive horizon. By using of GA, the solution of the optimization problem is got and it is taken as the input of the controlled system.

首先,建立搜索环境的规则描述,然后将多个UAV建模为一个控制系统,建立系统的预测模型,考虑到UAV传感器测量的不确定性和环境自身的不确定性,建立搜索概率图描述搜索环境的不确定性,给出了基于Bayes准则的搜索概率图更新方法,继而基于搜索概率图定义信息增益来衡量搜索效果,并将预测周期内的优化目标定为最大化信息增益,采用遗传算法进行求解,得到最优解作为被控系统的输入。

The general form of solution for the non symmetric matrix A is given, the expression of optimal approximation solution is presented, and an algorithm for solving the problem is described. The total least squares problem with symmetric and bisymmetry constraints is discussed respectively. A sufficient condition for existence of solution is derived by use of the theory of matrix Ricaati equation. The general form of solution is given if the problem has a solution, and the expression of optimal approximation solution is presented. Some numerical examples are given.

对矩阵A是非对称情形,给出了解的一般表达式,证明了最佳逼近问题解的存在唯一性,并给出了其解的表达式,描述了求解问题的算法;讨论了带对称和双对称约束的总体最小二乘问题,利用Ricaati矩阵方程的理论得到了解存在的一个充分条件,分别对对称矩阵和双对称矩阵两种情形,给出了解的一般表达式,证明了最佳逼近问题解的存在唯一性,给出了其解的表达式,提出了求解这些问题的算法,并给出了数值例子。

This paper presents an IFMC CAD model that consits of a geometry model and a material model, in which the geometry space acts as a base space and the material space acts as a bundle space. In this CAD model, the geometry model is based on the non-manifold model. In addition, a half-face data sturucture, which is derived from the half-edge data structure with the non-manifold feature of IFMC taken into account, is adopted to represent the geometry and topology information of the component. For the material model of IFMC, this paper focuses on the FGM component representation firstly and present a simplex-subdivision based CAD data exchange format, in which the material information is represented as a (n-1) simplex and material distributing feature is represented by the interpolation on the simplex-subdivision. Based on those, a part-building orientation optimization algorithm and an adaptive slicing algorithm for FGM component are presented in the paper. For the IFMC material model, the IFMC material information representation is divided into a meso-scale and a macro-scale representation. In the meso-scale, a concept named parameterized periodic functional meso-structure is presented as a unique form to represent the FGM (the homogeneous materials are regarded as a special FGM), the composite and the functional meso-structure material. The model of PMS is a three-tuple that contains the space state informatation, the material parameter and the material meso-scale distribution feature. The macro-scale material information representation is similar to the FGM components by interpolation of the control parameter of the periodical functional meso-structure based on the simplex-subdivision. Through an example of manufacturing-oriented IFMC CAD data processing, it is proved that the IFMC CAD model and the material information representation and process method proposed in this paper can provide a reliable data support for IFMC digital concurrent design and manufacturing.

本文将理想材料零件CAD模型建立在以几何空间为底空间、以材料空间为丛空间的结构上,使用非流形几何模型作为理想材料零件几何拓扑模型的基础,并在半边数据结构基础上,针对理想材料零件的非流形特征局限内部边界上的特点,给出了一个半面数据结构来表述零件的几何拓扑信息;对于理想材料零件的材料模型,本文先从功能梯度材料零件的信息表述与CAD数据交换和处理入手,将材料信息表述为(n-1)维单纯形,然后通过对三维几何区域的单纯剖分,以插值的方式表述零件材料分布特征;在此基础上,根据功能梯度材料零件分层制造中对CAD数据处理的要求,给出了综合考虑零件几何特征与材料特征的生长方向优化算法和自适应切片算法;而对于文中所定义的理想材料零件,本文将其材料信息表述分解到细观和宏观两个尺度进行,首先给出了细观尺度上参数化的周期性功能细结构概念,以此来统一表述功能梯度材料(单质材料作为特殊的功能梯度材料看待)、复合材料和功能细结构材料;把周期性功能细结构模型化为一个包含空间状态信息、材料构成参数和材料细观分布特征参数的三元组,以表达零件的细观材料特征;对于零件宏观的材料变化特征,则同样在几何区域单纯剖分的基础上,通过对细观尺度上周期性功能细结构控制参数的插值来完成;通过理想材料零件CAD数据处理的算例,验证了本文中理想材料零件CAD模型及材料信息表述与处理方法完全可以为理想材料零件的数字化制造提供可靠的数据支持。

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