| 1. | Modern control theory ( adaptive control , anticipatory control , state space variable analyze ) was used according to some special objects
针对较特殊对象采用现代的控制理论(预测控制、自适应控制、状态空间变量分析)进行讨论、优化。 |
| 2. | The concepts of the blind position and the blind angle and the algorithm dealing with them are approached . the method in present research is effectively used to solve problem of path planning . 2
在提出四种不同的运动学空间描述方法的基础上，给出不同空间变量之间相互转换的求解方法，并提出路径规划中需要考虑的盲位盲角问题及其求解方法。 |
| 3. | Assume that material constants exponential functions or power functions of spatial variable , the related bending fracture models are set , i . e . a series of boundary value problems of partial differential equations are established
再将材料常数依次设为空间变量的指数函数和幂函数，建立了相应的弯曲断裂模型，即一系列相关的偏微分方程的边值问题。 |
| 4. | At present , most studies are linked to the semi - discrete scheme and the one - dimensional spatial variable . but there are very few studies about the full - discrete scheme and the higher dimensional spatial variable . furthermore , the former ca n ' t be extended directly to the latter
目前，大多数科研成果只限于对原方程是半离散和空间变量是一维的情况，对全离散格式和高维情况研究甚少，而后者并不是前者的平行推广。 |
| 5. | First , we apply the method of galerkin and the fixed theorem of the larey - schauder to prove the existence of the approximate solution . next , we give the priori estimates of the higher order derivatives ( with respect to spa - tial variable and time variable ) of the approximate solution
首先应用galerkin方法和larey一schaude :不动点定理证明近似解的存在性，然后进行近似解的高阶导数的先验估计(关于空间变量和时间变量) 。 |
| 6. | An outstanding meaningful fourth order ordinary differential equation is considered , whose solutions constitute some particular solutions of a great number of partial differential equations which depend on a time and space variables . such as stationary solutions , travelling waves and certain more solutions with complex relation between time and space variables
这类方程的解构成许多恰含有一个时间与空间变量的偏微分方程的某种特殊解；如与时间无关的定常解及时空间成线性关系的行波解，乃至具有更为复杂的时空间关系的解。 |
| 7. | From basic equations of elastic mechanics , related knowledge of fracture mechanics and frequent used methods of differential and integral calculus , bending fracture models of anisotropic functionally graded materials is established by assuming that material constants ( stiffness matrix component ) are expressed in arbitrary functions
根据弹性力学的基本方程以及断裂力学的有关理论及微积分方法，将材料常数（刚度系数）设为空间变量的任意函数，建立了各向异性功能梯度材料板弯曲断裂模型，即三类偏微分方程边值问题。 |
| 8. | In section 4 , by making use of the fourier transformation for spatial variables and starting from the nonparaxial propagating equation of ultrashort pulsed beam in temporal frequency domain , the nonparaxial solution basing on the paraxial propagating solution was derived , which come to exact solution by iterative of the paraxial integral solution
在第四节里，通过采用空间变量的傅立叶变换和利用时间频率域下的非傍轴传输方程，我们得出了超短脉冲光束传输的非傍轴的修正方法。 |
