查询词典 kernel of linear mapping

Keywords: Linear time-delay systems; Uncertainty; Decoupling control; Energetic decoupling; Linear matrix inequality

中文关键词：线性时滞系统；不确定性；解耦控制；能量解耦；线性矩阵不等式

In chapter 2 we propose a linear equality constraint optimization question , the new algorithm is combined with the new conjugate gradient method(HS-DY conjugate gradient method)and Rosen"s gradient projection method , and has proven it"s convergence under the Wolfe line search.In chapter 3 we have combined a descent algorithm of constraint question with Rosen"s gradient projection, and proposed a linear equality constraint optimization question"s new algorithm, and proposed a combining algorithm about this algorithm, then we have proven their convergence under the Wolfe line search, and has performed the numerical experimentation.

在第三章中我们将无约束问题的一类下降算法与Rosen投影梯度法相结合，将其推广到线性等式约束最优化问题，提出了线性等式约束最优化问题的一类投影下降算法，并提出了基于这类算法的混合算法，在Wolfe线搜索下证明了这两类算法的收敛性，并通过数值试验验证了算法的有效性。

Then we derive first-order necessary optimality conditions for optimization problems with affine variational inequality, which joint upper-level feasible region Z includes a linear inequality constraint and a linear equality constraint.

其次，我们研究Luo的带仿射变分不等式约束优化问题，其中上水平约束Z不仅含有线性不等式约束，而且含有等式约束情形时的一阶最优性条件，同时还给出了Z的切线锥的表达式。

In this paper we study the translation equivalence class es of linear recurring m -arrys, and give respectively the enumeration of m -arrays with fixed period vectors and with a fixed linear complexity.

本文研究线性递归m—阵列的平移等价类，分别出了具有相同周期和相同线性复杂度的m—阵列的平移等价类的计

Based on the characteristics of wireless sensor networks, a routing problem is converted firstly into linear programming problem, and the equivalence between the routing problem and linear programming problem is proved.

基于无线传感器网络特性，首先将路由问题转化为线性规划问题，并证明了路由问题与线性规划问题的等价性。

Secondly,the deterministic equivalence problem of theprobabilistic inequality is discussed,and the expression formula of thedeterministic equivalences for several commonly used probabilitydistributions,such as normal,exponent,uniform,β and Γ distributions etc.,are given for the linear function with respect to random variables,which solvesthe problem of the deterministic equivalence for the linear-function-class.

其次，本章讨论了概率不等式的确定性等价问题，就随机变量的线性函数类，给出了与几种常用的概率分布，如正态分布、指数分布、均匀分布、β分布、Γ分布等等，相关的确定性等价问题。

At high-frequency voltage, a transformer winding is equivalent to a linear, bilateral passive network which consists of linear resistance, capacitance and inductance. The equivalent model of a transformer winding in different frequency bands can be known by studying the bilateral network.

变压器绕组在较高频率的电压作用下，每个绕组本身均可视为一个由线性电阻、电容、电感等分布参数构成的无源线性双口网络，通过对该双口网络的研究可以得到变压器绕组在各个频段的等效模型。

We get the necessary and sufficient conditions about admissibility for linear estimators of estimable function among the inhomogeneous linear class.

利用矩阵的向量化方法，研究了带线性约束的增长曲线模型中可估函数的线性估计在非齐次线性估计类中可容许的充要条件。

As to the linear minimax estimators of estimable function in the linear model, Xu Xingzhong and Yu Shenghua have done some improved research.

对于线性模型可估函数的线性Minimax估计问题，徐兴忠、喻胜华等已作出了比较完善的研究。

I Under the general linear model with normal error vector and under convex or matrix losses, the necessary and sufficient condition for there to be UMRU estimators of any linear estimable function SXβ of regression coefficients are obtained.

i在误差向量遵从正态分布，在凸损失或矩阵损失下，得到了回归系数的可估线性函数SXβ的UMRU估计存在的充分必要条件。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。