查询词典 simultaneous invariant

In this paper, the sampling theorem is studied in the shift invariant subspace in higher dimension.

本文研究了高维平移不变子空间中的抽样定理。

There exists a nontrivial invariant subspace of $T$.

文章的结果和证明都是对的。

Every reducible subspace of $T$ is invariant subspace of $T$ too.

人们自然相信，有不变子空间的算子可能有共轭。

At first, some properties in the sampling subspace are classified. Then, that the subspace spanned by the translation of a function is also a subspace is proved in the shift invariant subspace.

首先通过Zak变换刻画了抽样空间的一些性质，然后证明了在一个平移不变的抽样空间中，由其中任一个函数的整平移所张成的子空间也是抽样空间。

Finally, a basic lemma was given to reveal the relation between the solution set of a centain integral equations and the generalized cyclic invariant subspace. This lemma will play an important role in the determination of controllability.

然后以一个基本引理的形式揭式某一积分方程的解集与广义循环不变子空间之间的联系，这个引理将在能控性的判定中起关键作用。

Based on the invariability of the sought for chemical subspace to the linear transformation, a novel approach, called chemical subspace invariant to linear transformation method, is developed for estimation of chemical rank of two way data matrices.

提出了一个新的化学计量学方法，即线性变换下稳定的化学子空间法，用于二维数据的化学秩估计。

Classification of two-component nonlinear cross-diffusion systemsis presented by a developing invariant subspace method.

将不变子空间方法进行推广，并用于带有交错扩散项的非线性方程组的分类。

The whole state space is divided into invariant subspace, safe subspace, dangerous subspace and dead subspace according to the constraints and the safe margin of the system, and the state reference trajectory is chosen with respect to the subspace in which the state prediction lies in, in this way GPC is applied under the prerequisite for the viability of the system.

研究了系统在线性不等式约束条件下的预测控制问题，将广义预测控制算法化为对控制量的一步优化，根据约束条件和输出预测在线修改控制量的加权系数，提出了一种变加权系数的改进算法，使系统始终满足给定的约束条件。

Firstly, the recent developments in controllability and observability for switched system are reviewed. Secondly, by means of properties of invariant subspace, the controllability for switched systems with continuous-time and discrete-time subsystems, and a class of discrete impulsive switched systems is respectively investigated. Some sufficient and necessary conditions of controllability are proved. In the end, some simple criterions for controllability and observability of switched symmetric composite systems are set up.

首先介绍了切换系统能控性与能观性方面的一些重要结论；其次，用不变子空间的性质分别研究了同时含有连续子系统和离散子系统的切换系统和一类离散脉冲切换系统的能控性，建立了相应的充分性与必要性判别准则；最后，研究了切换对称组合系统的能控性与能观性，得到了此系统能控性与能观性的简单判据。

In order to investigate the variation of controllability and observability affected by network scheduling,the model of scheduling for Networked Control System is established,which has communication constraint on its input and output channel.Utilizing communication sequence to express the scheduling of channel,the model can be transformed into discrete-time switch system.Under static scheduling,using the theory of recursive invariant subspace and its character,a necessary and sufficient condition of NC...

为了研究网络调度对能控性与能观性的影响，对输入、输出通道都存在通信约束的网络控制系统的调度进行建模；利用通信序列表示通道的调度情况，最终将模型转化为离散切换系统；在静态调度下，利用循环不变子空间理论及其相关的性质，给出了网络控制系统能控性、能观性成立的充要条件，并给出了原有控制系统与经网络静态调度后的系统之间能控性、能观性的关系；最后用仿真实例说明了所提结论的正确性。

Warden: That's a beautiful dog, but don't bring her again.

那是条漂亮的狗，但是不要再把她带来了。

You get up in the morning – no hangover!

你第二天早上起来的时候—不会宿醉！