矩阵范数

An equivalent condition for the singular discrete linear systems to be regular, causal, stable as well as the transfer function satisfying a prescribed H-infinity norm bound is obtained by means of linear matrix inequation method.

利用线性矩阵不等式方法，导出广义离散线性系统正则、因果、稳定且传递函数满足给定的范数界的等价条件。

The LTR of centralized multivariable control systems is then generalized to decentralized control large-scale interconnected systems by H∞ optimal theory. The difficulty to compute the infimum of H∞-norms of recovery matrices in the set of all possible gains of decentralized observers is avoided.

基于H∞理论，将多变量系统的回路传递再生方法推广于分散控制关联大系统，并避免了在所有可能的分散观测器增益构成的集合上，直接计算再生矩阵的H∞范数下确界的困难。

In this paper, the influence of error propagation on soft demodulation in coded MIMO system is analyzed in detail. Besides, based on the thought of soft symbol interference cancellation, Iterative Channel Soft Information for coded MIMO system is further deduced and proved to have the same form as the inverse of row norm of Moore-Penrose inverse of channel matrix.

摘要该文针对编码MIMO系统，分析了MIMO检测过程中串行干扰删除引入的误差传播对软解调的影响，同时，借鉴软符号干扰消除的思想，推导出该系统中迭代信道软信息(Iterative Channel Soft Information， ICSI)的计算方法，并证明了该信道软信息等价于信道矩阵广义逆的行范数的倒数。

Then with the use of general inverse and matrix projection theorem,a new parameter with good identification effect is deduced,which is called projection modulus of residual vector ,and with which the damaged element is easily identi.

为了找到一个对小损伤较敏感的参数，在结构自由振动微分方程基础上，结合损伤结构的测试数据(用有限元模型的计算结果来模拟)，得到残余向量，利用广义逆和矩阵投影定理，导出了一个具有很好识别效果的参数：残余向量投影范数。

Based on the explicit formulation of matrices on the given linear manifold, the general expression of the solutions to this least squares problem is obtained by using the method of the singular value decomposition and the unitarily invariant of the Frobenius norm.

在推导出所给线性流形中任意矩阵的显式表达的基础上，利用奇异值分解和Frobenius范数的酉不变性得到了该最小二乘问题通解的一般表达式。

The condition of stabilization is given for the systems by using Lyapunov equation method and matrix norm properties, and a decentralized robust stabilization controller is designed.

运用Lyapuonv方程的方法结合矩阵的范数性质得到了系统可镇定的条件，并给出了一种分散鲁棒镇定控制器的设计。

The concept ofpseudo-spectra is used to investigate the estimation to the matrix norm of the residualpolynomials.

该章还运用伪谱概念讨论了矩阵残差多项式范数的估值。

In the case of discrete systems, some simple stability criteria are given in terms of matrix norm and the spectral radius of matrix, which are delay-independent and are therefore valid for any large delay.

对带滞后的线性定常离散广义系统，则通过矩阵的范数与谱半径建立了一些形式简单的稳定性判据，用它们判别系统的稳定性时，不会因滞后的增大而明显地增加计算量。

Analyzing the inner configuration of the covariance matrix, a new multiple targets DOA tracking algorithm is presented based on a matrix norm minimization technique.

摘要该文分析了协方差矩阵的内部结构，得到了一种具有较低运算量的基于范数最小准则的多目标DOA跟踪算法。

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。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。