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《数学的实践与认识》1973,(3)
中国科学院数学研究所举办卡尔曼滤波讲习班近年来国外已把卡尔曼滤波方法应用于导航、制导、测轨等方面.目前这一方法已引起我国许多部门的重视.为了使卡尔曼滤波的理论能够较快地为大家了解和掌握,中国科学院数学研究所概率统计室于4月中旬举办了卡尔曼滤波讲习班. 相似文献
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根据形状误差的定义,本文提出了用最大模范数最小化原理评价圆度和圆柱度误差的新方法。和最小二乘法以及卡尔曼滤波法比较,本方法是以主动控制形状误差最优来进行参数估计的,因此的对任何类型误差的干扰都具有显著的抑制和衰减能力,并使各种评价结果最精确而稳定地收敛于真值. 相似文献
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王祖荣 《数学物理学报(A辑)》1981,(Z1)
对非线性系统的状态估计通常采用推广卡尔曼滤波,但由于此方法计算量大、往往在实际工程中不能实时处理,为此,对推广卡尔曼滤波提出了不少简化方法。如解耦滤波及改进α—β—γ滤波等(参见[2])。 本文提出的方法将系统进一步简化为满足稳态滤波条件的定常系统,计算量大大减少;经实际模拟计算,滤波精度可达相当高的水平。 该方法可用于地面电影经纬仪或雷达对飞行目标的自动限综。 相似文献
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范跃祖,宁文如,刘剑.光纤陀螺随机误差的滤波方案的探讨.数理统计与管理,1997,16(4),29~32.光纤陀螺是新一代的光学陀螺仪,它的性能决定着惯性参照系统的精度。光纤陀螺的误差分为两大类。一类是有规律的,另一类是随机的。本文提出了两种新的用于光纤陀螺随机误差补偿的Kalman滤波方案,考虑了两种随机模型:(Ⅰ)角速度变化为等随机的;(Ⅱ)角速度变化为等随机加速的。仿真结果表明,第二种方案对噪声起到了很好的抑制作用和滤波效果 相似文献
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“极端性”原理是解决数学问题的一个重要方法,从极端情形(最大值、最小值、极端有利、极端不利、边界情形、极端位置等)入手分析,往往能发现解决问题的突破口.此法不仅在解竞赛问题中用途广泛.事实上,在平时的解题过程中,为了寻求更清晰的解题思路,更简洁的运算方法,我们也会不经意地去“走极端”,本文例举说明. 相似文献
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浏览一下近两年中考有关三角形的作图题,很难看出与相应的教材的模式有了多少差异.但今年常州市中考的一道作图题(35题)却匠心独具,设计得生动、活泼.首先考生得把百多字的材料读懂,其次要想象出三个图形(三角形)在直线上的位置与姿态.最后才说动手作图.该题可以说是“仁者见仁,智者见智”.学习能力强的可在读完材料后想象出三个图形在直线上的位置与姿态,并可以巧妙地、最小次数地动用圆规和三角板一次性地完成作图.而学习能力差一点的,便只能“一步一个脚印”地完成(1)的作图后再考虑完成(2)的作图.该题可以说绝… 相似文献
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在平面解析几何中,判断直线与圆的位置关系主要有两种方法:方法卫是从代数角度,即从直线方程与圆方程联立所得的方程组的解的个数来判断;方法2是从几何角度,即从圆心到直线的距离与半径的大小关系来判断.在解题中,常用方法2.对直线与椭圆位置关系的判断,目前只有一种方法,就是从直线方程与椭圆方程联立得到的方程组的解的个数来判断,它是从直线与圆的位置关系的判断方法1,通过类比而得到的.那么,我们自然要问:对直线与椭圆的位置关系的判断,能否有类似于上述判断方法2的结论呢?几经探求,笔者得出了如下结论:定理若椭圆E… 相似文献
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本文论述了油藏自动历史拟合的有关概念,首次提出多参量自动历史拟合的序贯试验法,并将该方法在SUN工作站上开发出计算机程序,文末附有该软件运行实例. 相似文献
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文献[1l提出了分子分母皆为线性函数的多元有理逼近(Rational Approximation with Linear Numerator and Denominator,RALND),满意地求了非线性方程组的解和数学规划最优解,为了克服RALND的不足,使之更好地发挥作用,本文试图改进该逼近:(1)提出了更合理地筛选有理逼近解的方法;(2)证明了该逼近的单调性;(3)对于原函数在当前点与前次迭代点连线方向上方向导数符号相反的情况,分别提出了迭代求有理逼近和构造在当前点与估算点连线方向上相应的方向导数符号相同的近似有理逼近的方法;(4)提出了一个非单调的有理逼近函数;(5)通过数值计算验证了本文提出的有理逼近是有效和可行的. 相似文献
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Boscolo S. Turitsyn S. K. Ania Castañón J. D. Blow K. J. 《Theoretical and Mathematical Physics》2003,137(3):1652-1662
We analyze pulse propagation in an optical fiber with a periodic dispersion map and distributed amplification. Using an asymptotic theory and a momentum method, we identify a family of dispersion management schemes that are advantageous for massive multichannel soliton transmission. For the case of two-step dispersion maps with distributed Raman amplification to compensate for the fiber loss, we find special schemes that have optimal (chirp-free) launch point locations that are independent of the fiber dispersion. Despite the variation of dispersion with wavelength due to the fiber dispersion slope, the transmission in several different channels can be optimized simultaneously using the same optimal launch point. The theoretical predictions are verified by direct numerical simulations. The obtained results are applied to a practical multichannel transmission system. 相似文献
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The aim of this paper is to study the dynamics of an SIS epidemic model with diffusion. We first study the well-posedness of the model. And then, by using linearization method and constructing suitable Lyapunov function, we establish the local and global stability of the disease-free equilibrium and the endemic equilibrium, respectively. Furthermore, in view of Schauder fixed point theorem, we show that the model admits traveling wave solutions connecting the disease-free equilibrium and the endemic equilibrium when R_0 1 and c c~*. And also, by virtue of the two-sided Laplace transform, we prove that the model has no traveling wave solution connecting the two equilibria when R_0 1 and c ∈ [0, c~*). 相似文献
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Wenzhang Huang 《Journal of Differential Equations》2008,244(5):1230-1254
A class of reaction-diffusion equations with time delay and nonlocal response is considered. Assuming that the corresponding reaction equations have heteroclinic orbits connecting an equilibrium point and a periodic solution, we show the existence of traveling wave solutions of large wave speed joining an equilibrium point and a periodic solution for reaction-diffusion equations. Our approach is based on a transformation of the differential equations to integral equations in a Banach space and the rigorous analysis of the property for a corresponding linear operator. Our approach eventually reduces a singular perturbation problem to a regular perturbation problem. The existence of traveling wave solution therefore is obtained by the application of Liapunov-Schmidt method and the Implicit Function Theorem. 相似文献
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Kurt Mahler 《Journal of Number Theory》1983,17(3):403-416
Proof of a general inequality connecting point sets with lattices in a space of Laurent series. 相似文献
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David Feldman 《Geometriae Dedicata》1992,43(2):181-206
A mesh is a family of paths in the plane connecting every pair of points. A crossing point of a mesh is a point which is an interior point to more than one path. A simple crossing point is an interior point of exactly two paths. We give an example of a mesh with only simple crossing points. We characterize subsets of the plane that can be the set of crossing points of a mesh. Our emphasis is on constructive methods. 相似文献
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From a biological point of view, we consider a prey-predator-type free diffusion fishery model with stage-structure and harvesting. First, we study the stability of the nonnegative constant equilibria. In particular, the effect of harvesting on the stability of equilibria is discussed and supported with numerical simulation. Then, employing the upper and lower solution method, we show that when the wave speed is large enough there exists a traveling wavefront connecting the zero solution to the positive equilibrium of the system. Numerical simulation is also carried out to illustrate the main result. 相似文献