查询词典 invariant subspace

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。

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。

Let m be a finite μ-invariant measure of Q-matrix, as Q is totally stable, consists of a single absorbing state or single-instantaneous state, we prove that exists Q-processes P , in which m be a μ-invariant measure of P , and construct the Q-processes P .

第四章致力于μ不变测度的研究，设m是Q的有限μ不变测度，在Q是全稳定、单瞬时不可和准保守拟Q-矩阵，以及含有吸收态的情形，分别证明了存在Q过程P，使m是P的μ不变测度，并且都具体构造出Q过程。

Based on concept of U(1)-invariant adiabatic expansion we propose an invariant perturbation theory of quantum adiabatic process, furthermore, we obtain a new adiabatic condition.

我们提出了绝热轨道、绝热演化轨道及U(1)不变的绝热轨道和绝热演化轨道等概念，重申了绝热演化的含义。并在U(1)变换不变展开的基础上给出了绝热近似不变微扰理论新的绝热条件，并进一步得到了新的绝热条件。

We study a polygon representation composed by the vertex angles and ratios of adjacent edge lengths, which is invariant to geometric transformations such as translation, rotation and scaling. The polygon is globally represented by a scale-invariant intrinsic matrix.

提出了由顶点转角和相邻边长比例构成的多边形伸缩内在量表示的方法，多边形从整体上由一个伸缩内在矩阵来表示，该表示方法具有平移、旋转和伸缩等几何不变性。

This method utilizes the invariant properties of affine geometry to calculate the affine invariant, which has a more fast process speed.

该方法利用仿射几何中的特征区域面积比的不变性质构造仿射不变量，在处理速度上具有较为明显的优势。

At last,we use these feature regions to construct affine invariant s,based on affine geometry invariant property.

利用仿射区域划分获取一组扩展质心集合作为图像特征点集；求解特征点集的凸包，根据扩展质心的性质将凸包顶点均匀组合成若干特征区域；利用仿射几何性质构造了有效的仿射不变量。

Local invariant feature ; object recognition ; image matching ; image classification ; scale space ; affine invariant moment ; detector ; descriptor

吉林大学；刘萍萍局部不变性特征；物体识别；图像匹配；图像分类；尺度空间；仿射不变矩；检测子算法；描述子算法

Firstly, on the base of the strictly monotone map, we provide the definition of strictly invariant quasi-monotone map, it is the extent of the strictly monotone mapping, at the same time, it is the especial case of the invariant quasi-monotone map, too. It is supported by some examples.

在理论部分做了三方面的工作：首先，在严格拟单调映射的基础上，提出了严格不变拟单调映射，它是严格拟单调映射的推广，同时也是不变拟单调映射的特殊情况，举例加以说明。

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This new product will become our best seller.

这个新产品会成为我们最畅销的产品。