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In this thesis, absolute stability of Lurie control systems is studied.

中文摘要:这篇硕士论文研究了型控制系统绝对稳定问题,重点讨论判定其零解绝对稳定的几种常用的方法,得到了绝对稳定的一些充分必要条件或充分条件及代数判据。

The paper addresses the existence problem of generalized inverses for elements of a Banach algebra under perturbations and derives a sufficient and necessary condition for the existence of generalized inverse.

文中讨论了Banach代数元扰动后广义逆的存在性问题。用线性算子广义逆的稳定性问题的方法,得到Banach代数元扰动后广义逆存在的充分必要条件以及稳定的一个充分条件

This paper introduces the sufficient conditions of the similarity between someparticular block matrix on the division rings.

给出除环上某些特殊块阵的相似的充分条件,并具体给出了对于除环上n阶阵A和B,AB与BA的群逆都存在的充分必要条件,并推广了Cao等人"在两个矩阵乘积群逆的逆序法则"文章中一个结论。

Secondly, based on the Mawhin's continuity theorem in coincidence degree theory and the Brousk's theorem, some novel criteron of the existence on periodic solutions are obtained under the more generalized assumptions than before.

主要工作是:第一,应用构造Liapunov函数以及Lasalle不变性原理,给出了解的有界性与收敛性的一些新的充分条件和充分必要条件,这些结果包含或扩展了已有文献关于同样问题的一些重要结果。

Necessary and sufficient conditions of the robust positively invariant sets are established for the linear discrete-time system family specified by matrix convex polyhedron and additive interval disturbances.

对由矩阵凸多面体和加性区间扰动描述的线性时变离散系统族,得到了鲁棒正不变集的充分必要条件;对非线性系统族则得到有关充分条件

We attain a sufficientcondition realizing ideal disentanglement by manipulating only one part of the states.Under the condition that one only knows partial information on the set of states weput forward the necessary and sufficient condition for ideal disentangling operations.

我们获得了,为了达到理想的消纠缠,量子态集合所应满足的充分条件;在仅知态集合中量子态的部分信息的限制下,我们得到了理想消纠缠的充分必要条件。

However, methods and references for difference equation are relatively less. The new method proposed in this paper transfer the complex boundary value problem into the existence and uniqueness of the solution of the linear equations. For linear case , we obtained the necessary and sufficient conditions for the existence and uniqueness of the solution for the BVP; For the nonlinear case ,we got a series of new sufficient conditions by using contraction mapping theory and cone theory .

而差分方程边值问题的研究方法和文献还很少,文中新的研究差分方程边值问题的方法是将复杂的边值问题求解转化为代数理论中的线性方程组解的存在和存在唯一问题;对线性情形,较容易地获得了边值问题的解存在以及唯一的充分必要条件,而对非线性情形,则通过压缩原理和锥理论等各种不动点定理,获得了一系列新的充分条件

At last, we provide the upper semi-continuity and compactness of the spectral scalar solution set mapping under some suitable conditions, and the necessary and sufficient conditions to guarantee the lower semi-continuity of the spectral scalar solution set mapping by virtue of the concept of essential solution.

最后,给出了谱标量解集映射满足上半连续且紧的充分条件及下半连续的充分必要条件。

By employing the theory of bifurcations of dynamical systems, the existence of solitary travelling wave solutions, uncountably infinite many smooth periodic wave solutions and non-smooth periodic travelling wave solutions, is obtained.

通过运用动力系统分支理论,获得了系统在各种参数条件下可能存在的孤立行波解、不可数无穷多光滑周期行波解和不光滑行波解,并就不同参数条件,给出了上述解存在的充分条件

A sufficient condition for indentifying redundant subgoals based on the integrity constraints is given and an accompanying algorithm for detecting and eliminating the redundant subgoals in a rule is provided.

本文提出了一个判定规则中基于包含约束条件的多余子目标的充分条件,并提出了建立在该判定条件之上的语义查询优化方法。

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