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These results enlarge the domain of analytic controllability, and more essentially, they are applicable to more general quantum mechanical systems with infinite dimensional control Lie algebras.

这些结果不仅扩大了解析能控性所适用的区域,更重要的是可以用于更一般的具有无穷维控制李代数的量子力学控制系统。

At the same time, the characteristic equations of the controlled systems with time delays are transcendental equations and belong to infinite dimensional systems, so it is difficult to study the time delay systems in mathematics theory and also difficult to obtain good performance for the time delay systems using the controller designed by classical control theory.

同时,由于含有时滞的控制系统的特征方程是超越方程,属于无穷维系统,对时滞系统的研究在数学理论上是非常困难的,有很高的理论价值,而且通过经典控制理论设计出来的控制器对时滞系统很难得到良好的控制效果。

In this thesis, we investigate the properties of two classes of infinite dimensional Markov processes, measure-valued branching processes with immigration and distribution-valued generalized Ornstein-Uhlenbeck processes.

在论文中,我们将研究两类无穷维马尔可夫过程的性质—带移民的测度值分枝过程和分布值广义Ornstein-Uhlenbeck过程。

A delayed system as an infinite dimensional system can perform hyperchaotic behavior, which makes the signals hard to decipher, and new research area is developed.

而时延系统作为无穷维的系统,简单的时延系统就能够产生超混沌的特性,大大增加了破译的难度,从而开辟了混沌同步保密研究的新方向。

Nest algebras are the natural generalizations of upper triangular matrix algebras in infinite dimensional spaces and an important object...

套代数是上三角矩阵代数在无穷维空间上的自然推广,是一类重要的非自伴算子代数。

This project studies the problems of stabilization and tracking of nonlinear systems, Bifurcation control of nonlinear systems, and analysis and control of infinite dimensional systems and so on. Seventeen papers were completed; A Science and Technology Award of Zhejiang Province, First Grade, was got.

本项目研究了非线性系统的镇定、跟踪、分歧控制和无穷维线系的分析与控制等问题,完成17篇论文,获浙江省科学技术奖一等奖一项。

The integral on infinite interval is an indispensable part of the theory of integral.

中文摘要:无穷区间上积分的讨论是积分理论中不可缺少的一部分。

New methods for discriminating convergence of nonnegative function s infinite integral are given.

本文建立了非负函数无穷积分敛散性的几个新判别法,讨论了这些判别法所对应的比较对象,说明了它们的精细程度

This article introduces some new methods, which utilize the own specialties and integral characters in Laplace transform to solve some special types of infinite integral. For example,,.

本文介绍的求值方法是利用Laplacc变换本身的特点及其具有的积分性质,来求一些特殊类型的无穷限积分的值,例如,,型。

The Gibbs phenomenon should be considered in interpreting the numerical curve of the transient solution with infinite integral derived by the method of separation of variables.

计算结果表明,在求解由分离变量法所得的无穷积分解析解的数值曲线时,吉布斯现象的存在具有普遍意义。

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