查询词典 linear optimization

Presents the design of longitudinal control for ASTOVL lift-fan aircraft, a multi-variable, strong-coupling, complicated nonlinear system to make the system nonlinear offset and decouple, and the method used for linear system in designing the system to gain expectant flying qualities and the combination of aerodynamic control surfaces with thrust vectors to delay the control surfaces getting into saturation, and the minimum N-norm generalized inverse theorem of weighted generalized inverse adopted to apportion the moments commands, which make the control surfaces gain appropriate deflection and the simulation results to verify the dynamic inverse control laws designed really make the system nonlinear offset and decouple; when one command is given, only this output will response, and others do not response; when all commands are given together, the responses will be just the linear superpose of the response of each command, therefore the operation of the pilot will be simplified greatly.

摘 要： ASTOVL升力风扇飞机是多变量、强耦合、复杂的非线性系统，采用非线性动态逆理论设计控制律以实现系统的非线性对消及解耦，然后，采用线性系统的设计方法对系统进行设计，以使系统获得期望的飞行品质。同时，考虑到ASTOVL升力风扇飞机是由气动舵面和推力矢量融合作用的，为了延缓各舵面进入饱和的时间，采用加权广义逆中的极小N-范数广义逆定理分配力矩指令，从而使各舵面达到适当的偏转角。并将所设计的控制律进行了仿真，结果验证了所设计的动态逆控制律使系统实现了非线性对消和解耦，单个指令作用时，只有该项响应，其余不受影响；所有指令作用时，其结果就等于单个指令作用时的线性叠加，这样使驾驶员的操纵大大简化而易于控制，从而大大降低了飞行事故率。

In the ***, all types and fundamental principles of Radon transform are summarized systematacially. This *** starts from the general linear Radon transform, and then researches how to use the damped least square method to find the solution of the forward transform. However, the least squares smoothing effect will lead to a certain degree of trails in the data of Radon domain, which led to the application\'s limitations. After that the implementation in Radon domain and relative merits of linear Radon transform, parabolic Radon transform and polynomial Radon transform which have time invariance are introduced, the conjugate gradient method that can solve numerical solution is also given. And then the high resolution Randon transform is discussed, it introduces the regularization theory and Bayes principle into inversion, which successfully remove the negative affect caused by discrete Radon transform. Finally, we introduce the optimal weighting similar coefficient Radon transform, which adapt to the time variant quality of hyperbolic Radon transform.

本文系统总结了Radon变换的各种类型及其基本原理，从τ- p变换(即一般线性Radon变换)出发，研究利用阻尼最小二乘平方法求解其正变换，但是最小平方法的平滑作用会导致Radon域数据存在一定程度的拖尾效应，给这种方法的应用带来了很大的局限性；然后先容了具有时不变性的线性、抛物和多项式Radon变换在频率域的实现及其优缺点，给出了求解其数值解的共轭梯度算法；接着讨论了高分辨率Radon变换，它把正则化思想和贝叶斯原理引进到了反演中，很好的克服了离散Radon变换产生的截断效应对结果的不利影响；最后先容了适应双曲Radon变换时变性质的高分辨率最优相似系数加权Radon变换。

The diffusion structure has important impact on the rate of the diffusion and safety intensity for block cipher.Using the linear transform which has branch numbers as large as possible as the diffusion structure is a main method to devise block cipher.The linear transform is usually achieved by constructing the invertible matrix.

扩散结构的好坏直接影响了分组密码的扩散速度和安全强度，以分支数尽可能大的线性变换为分组密码算法的扩散结构是设计分组密码的一种重要方法，线性变换的构造可通过可逆矩阵的构造完成。

With increasing loading, the reduction degrees of average correlative coefficients of linear fitting functions of isochronous stress axial strain curve and isochronous stress-radial strain curve are 0.97% and 0.67% respectively, which indicates the linear correlation decreases commonly.

随加载应力水平的提高，应力－轴向应变等时曲线和应力－径向应变等时曲线线性拟合函数的平均相关系数下降幅度分别为0.97%和0.67%，线性相关性普遍降低。

The average correlative coefficients of linear regression function for isochronous stress- axial strain curve are 3.92% higher than that of average correlative coefficients of linear regression function for isochronous stress- radial strain curve, so nonlinear creep property of the fine sandstone specimen in axial direction is correspondingly weaker than that in radial direction.

应力－轴向应变等时曲线线性回归函数的平均相关系数高出应力－径向应变等时曲线线性回归函数的平均相关系数3.92%，因此其轴向非线性蠕变特性相对于径向非线性蠕变特性更弱。

Of arbitrary isogon of arbitrary linear symmetry transformation , breaking the former only for a fixed linear symmetry transformation , eliminating the symmetry of the fixed line every time when the importation of trouble

详细说明：这是关于任意正多边形关于任意直线的对称变换，打破了以前的只能对于一个固定的直线的对称变换，省去了关于固定直线对称时每次都要输入的麻烦

Secondly, for the spascial AF C* algebra-UHF algebra, I study the linear characterization of 2-local isometry on it: make use of the frame attribute, find the trace state of UHF algebra according to the one of matrix algebra and verify the 2-local isometry is linear.

充分利用UHF代数的结构特点，利用矩阵代数的迹态找到UHF代数的迹态，从而证明了2-局部等距的线性性质。

Each step of the iteration is to solve a linear semi-infinite programming that is transformed into a linear programming by frequency discretization.

每步迭代都是求解一个线性半无穷规划，通过离散化处理线性半无穷规划可以转化为线性规划来求解。

To sum up, a non-interior-point smoothing algorithm for solving the complementarity problem is proposed in this dissertation, which outperforms many existing non-interior-point smoothing algorithms in the sense that only one system of linear equations is solved and one linear search needs to be made for the solution at an iteration step.

特别是，本文提出的非内点光滑型牛顿算法在求解上述问题的过程中，在每一个迭代点处只需要解一个线性方程组和做一次线性搜索，比已有文献中的算法具有更大的优越性。

The linear range of α-lactalbumin and β-lactoglobulin were respectively 0.25~1.75 μg and 0.16~1.44 μg. There were good linear correlations about the two components.

外标法定量，α-乳白蛋白和β-乳球蛋白两种组分线性范围分别为0.25~1.75μg和0.16~1.44μg，线性关系良好，相关系数分别为0.9940和0.9912。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。