上三角算子矩阵的谱扰动

本文利用算子谱的分块技巧,研究了上三角算子矩阵的谱扰动.给出了当算子A∈B(H),B∈B(K)给定时,σ(A)∪σ(B)\∩C∈B(K,H)σ(MC)的表示,这里σ(A)表示算子A的谱,MC=(AC/0B)     

Hilbert空间中算子框架的稳定性研究

文章利用算子理论的方法研究了Hilbert空间中算子框架的稳定性,给出了算子框架分别在一列算子的不同方式的扰动下的稳定性结果和在一个Bessel列的扰动下的稳定性结果。     

奇异积分算子在H^1（R^n）空间上的有界性

利用H1（Rn）的原子分解理论以及h1（Rn）（局部Hardy空间）的分子理论,证明了一类奇异积分算子从H1（Rn）到h1（Rn）有界.作为应用,得到了若A′∈L （R1）,则Cauchy积分算子CA从H1（R1）到h1（R1）有界.     

量子力学中的超算符概念

对量子力学中的线性算符概念进行了研究,通过建立算符函数的微分学引入了超算符概念,并给出了各类超算符的定义,在此基础上利用超算符概念分析量子力学中的典型问题,结果表明超算符概念在量子力学中具有广泛的应用,且使物理意义更加清晰.     

用算符法求解物理学非线性微分方程

引入特征算符和相应的算符定理,用算符法把物理学中的非线性微分方程的叠代解表示成展开的幂级数,结合辅助函数,得出所要求的级数解,提供一种用算符法求解物理学非线性微分方程的技巧.     

Kinematic analysis of the drag flick in field hockey

Attaining high speed of the stick head and consequently of the ball is essential for successful performance of the drag flick in field hockey, but the coordination pattern used to maximise stick head speed is unknown. The kinematics of the drag flick was studied in ten elite hockey players who performed twenty shots each towards a target located 1.5 m high. A 150 Hz active marker motion analysis system was used, alongside two force plates to detect foot touchdown. Angular velocity and contribution to stick endpoint speed of upper body joints were analysed. Repeated measures ANOVA was used to compare timing of onset and peak angular velocities between joints. Participants used a kinematic pattern that was close to a proximal-to-distal sequence. Trunk axial rotation and lateral rotation towards the target, right wrist flexion and left wrist extension were the main contributors to stick endpoint speed. Coaches should emphasise trunk rotations and wrist flexion and extension movements for maximising stick head speed. Given the high level of the participants in this study, the coordination of joints motions, as reported here, can serve as a guideline for drag flick training.     

Observer-based sliding mode control for a class of discrete systems via delta operator approach

In this paper, an observer-based sliding mode control (SMC) problem is investigated for a class of uncertain delta operator systems with nonlinear exogenous disturbance. A novel robust stability condition is obtained for a sliding mode dynamics by using Lyapunov theory in delta domain. Based on a designed sliding mode observer, a sliding mode controller is synthesized by employing SMC theory combined with reaching law technique. The robust asymptotical stability problem is also discussed for the closed-loop system composed of the observer dynamics and the state estimation error dynamics. Furthermore, the reachability of sliding surfaces is also investigated in state-estimate space and estimation error space, respectively. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the developed method.     

基于CWAA算子的战略新兴产业集群核心竞争力评价

构建一套基于CWAA算子的战略性新兴产业集群核心竞争力评价体系;通过文献调查法和统计分析法,构建战略性新兴产业集群核心竞争力评价指标体系,即产业集群经营规模、组织管理能力、集群成长能力、技术创新能力、知识管理能力、集群协同水平;提出利用OWA算子对多种赋权法进行加权组合,确定评价指标权重;基于CWAA算子,给出一种战略性新兴产业集群竞争力群决策方法;通过实证验证本文方法的可行性和合理性。     

实对称行列式表示的二次型的特征值与标准形

设n阶实对称矩阵B的特征值为λ1，λ2，…，λn，则二次型|X 0^B X^T|的特征值为λi'=-Πk=1,k≠i n λk，使B对角化的正交变换X^T=PY^T可使它简化为|Y 0^C Y^Y|,其中C=diag(λ1,λ2,…，λn).     

一类质点组动能定理的推导方法

给出了质点组动能定理，不同于一般教材的一种推导方法，并对两种方法进行了比较。