查询词典 norm of a matrix

By means of generalized Lyapunov function and linear matrix inequality,the asymptotical stability with zero solution is studied for the system,and a sufficient condition is given such that the system is asymptotically stable with zero solution and also a H∞ norm constraint .

针对非线性离散广义系统研究了状态反馈H∞控制器的设计问题，利用广义Lyapunov函数和线性矩阵不等式，首先对系统的零解渐近稳定问题进行了研究，并在此基础上给出了系统的零解渐近稳定且具有H∞范数约束的充分条件，之后设计了状态反馈H∞控制器，使闭环系统具有同样的性能，最后给出了数值算例说明本文结论的有效性和可行性

By means of augmented Lyapunov functional and free-weighting matrix approach,a delay-dependent sufficient condition is presented,which can make the resulting closed-loop systems asymptotically stable and satisfy a prescribed H∞ norm-bounded constraint.

利用增广Lyapunov泛函并结合自由权矩阵方法，得到使得闭环系统鲁棒渐近稳定且具有给定的H∞性能的时滞相关充分条件。

The third aspect: we consider comparison of Minimum Norm Quadratic Unbiased Estimator and ordinary least squares estimator of in the multivariate normal linear model Y ~ N{XB, V, where the design matrix A' need not have full rank and the dispersion matrix V can be singular.

使用的损失函数有二次损失函数、嫡损失函数和对称损失函数。论文基于以下三个准则：二次损失风险准则、嫡损失风险准则和对称损失风险准则，将MINQUE和LSE进行比较。

To the discrete-time systems, we introduce a new discrete-time norm, the algorithm given is not depend upon the initial data. For a class of uncertain discrete-time systems, we also adopt the method of iterative learning control, we convert the problem of learning control into a global stability of trivial solution for lower triangular matrix dynamic systems, and obtain the result of tracking to desired state of the system.

对于一般非线性离散系统，引进了离散的范数，所给的算法不依赖于学习控制算法中的初始数据，对于一类不确定离散系统的状态跟踪问题，我们也采用迭代学习控制的方法，将相应的学习控制问题转化为一个下三角动力系统的平凡解全局稳定性问题，获得了对系统理想状态的跟踪结果，并对所给的算法的收敛性进行了分析。

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。

By structuring a Lyapunov function, and using matrix norm , the stability of the time-delay uncertain systems is analysed with the result of some significant sufficientconditions.

通过构造适当的Lyspunov函数和利用矩阵范数，对时滞扰动多变量系统的鲁棒稳定性进行了较为详细的分析，得出了几个较有意义的充分条件

This paper summarizes the theory foundation and implementation of federated Kalman filter,and proposes a new dynamic informationsharing algorithm based on matrix norm,and designs a multinavigation system consisting of INS,GPS and Doppler.

总结了联邦滤波器理论的基础和实现方法，提出了一种基于矩阵范数进行信息动态分配的联邦滤波新算法。

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。

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。

Denotes the Frobenius norm, S is a subset of Rn×n. This master thesishas mainly studied centrosymmetric matrix set, centroskew symmetric matrix set,re?

为Frobenius范数， S为Rn×n中满足某约束条件的矩阵集合，本硕士论文主要研究了中心对称矩阵、中心反对称矩阵、自反矩阵、反自反矩阵、双对称矩阵、对称次反对称矩阵、对称正交对称矩阵、对称正交反对称矩阵。

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。