查询词典 matrix norm

Moreover, Problem I can be transformed equivalently into a problem that finding the minimum norm least-squares solution of a new inconsistent matrix equation.

而问题Ⅰ可等价转化为求一个新的不相容矩阵方程的最小范数最小二乘解的问题。

Linear memoryless state-feedback control law is derived for two classes of uncertain nonlinear interconnection systems with sector restriction or norm-bounded restriction based on Linear Matrix Inequality. This method doesn't require that two input terms are absolutely controllable for nonlinear delay systems.

基于线性矩阵不等式分别导出了具有扇形角约束和范数有界约束的两类非线性关联不确定系统的线性无记忆状态反馈控制律设计方法，该方法不要求系统的两输入项对系统完全可控。

A important result is the one-order expression of AR Yt = DYt-1 + E, from paralleling a high-order differential equation transformation into a one-order differential equation system, the one-order expression exposes that the AR is only a certain more-multivariable power series processAnd, if a process is described as an AR, the sufficient and necessary condition is the spectrum norm A of the coefficient matrix D less than one.

作者用高阶微分方程化一阶微分方程组的方法，获得多元弱平稳序列p阶自回归模型的一步滑动平均表达式，证明了AR的是一个更高维的幂级数的线性过程，从而，说明了AR关于序列依概率成立的充要条件是：该模型更高维的幂级数的线性过程的表达式中系数矩阵D的谱范数λ＜1。

In the optimal control of kinematics for redundant robots, two new concepts, the matrix weightability measure and the self-motion declinability measure are proposed. Further, a modified weighted gradient projection method which combines gradient projection method with weighted least-norm solution is presented, it can attain ideal optimal effects at low velocities.

本文对冗余自由度机器人的运动学、动力学和容错等方面的优化控制进行了深入的分析和探讨：在冗余度机器人运动学优化控制方面，提出矩阵可加权度和自运动可衰度的概念，将梯度投影法和加权最小范数解法有机的相结合，形成可优化能力强、关节速度较低的改进的加权梯度法。

When the diffusion matrix is symmetric and locally uniform positive definite, we prove that the solution tends to the thermal equilibrium state exponentially in L〓 norm and relative entropy.

当扩散矩阵对称且局部一致正定时，利用熵方法证明了其解在L〓或相对熵意义下指数衰减到热平衡状态，并且能明确的计算出收敛速率。

Using the singular value decomposition of matrix, the uncertain fuzzy systems can be united to the model with norm-bounded structure parameter uncertainties.

利用矩阵奇异值分解和线性变换，将不确定性模糊系统归一化为具有界范数约束的结构参数不确定性的模糊系统模型。

Fast algorithms for the minimal norm least square solutions of linear equations which coefficients are m×n Toeplitz matrix are given.

给出了求以m×n阶Toeplitz矩阵为系数阵的线性方程组极小范数最小二乘解的快速算法。

Combing these expressions with the orthogonal invariance of the Frobenius norm, we overcome the key difficult for the matrix unitary approximation successfully, and obtain the expression of the solution of Problem I.

本文分别利用多种矩阵分解相结合的直接方法和具有短递推格式的迭代方法得到了问题Ⅰ的解，其主要研究成果如下： 1。

The main elements affecting load coupling characteristics among channels were analysed based on joint space dynamics equations of Stewart platform, and four kinds of load coupling evaluation index were presented with the matrix and vector norm theory.

基于Stewart平台关节空间动力学方程，分析了影响通道间负载交联耦合的主要因素，采用矩阵和向量范数理论提出了4种负载交联耦合评价指标。

The design of output feedback H(subscript ∞) controllers is discussed for nonlinear discrete singular systems. First of all, by means of generalized Lyapunov function and linear matrix inequalities, zero solution E-asymptotically stable is studied for the system, a sufficient condition is given such that the system is zero solution E-asymptotically stable and a H(subscript ∞) norm constraint. And the output feedback H(subscript ∞) controller is designed to guarantee the performance of the resulting closed-loop system.

主要对非线性离散广义系统的输出反馈H控制器的设计问题进行讨论，首先利用广义Lyapunov函数和线性矩阵不等式，对系统的零解E-渐近稳定性问题进行分析，在此条件基础上给出系统零解E-渐近稳定且具有H范数约束的充分条件，然后设计系统的输出反馈H控制器，使得闭环系统具有同样的性能。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。