正紧算子刻划Banach格l_1

本文证明了Banach格E的一个正规化基{x_n}是格等价于l_1的自然基{e_n}的充要条件是每一Banach格F到E内的正紧算子T都有形如 Tx=∑x_n的表达式,其中∑a_n是F’中w~*-无条件收敛级数,且a_n≥0。一些相关的结果也略加讨论。     

一类经典Banach格上保不交算子的矩阵刻画

对向量格Rn 到Rm 的保不交算子进行矩阵刻画 ,即矩阵的每行至多有一个元素不为零 .并把此结果推广到了经典Banach格c0 和lp(1≤p <∞ )到l∞(c或c0 )的有界保不交算子的情况 .讨论了具有不交Schauder基的Banach格上有界保不交算子的矩阵特征 .     

磁浮系统中免疫专家PID控制器的改进

磁浮系统是一种典型的非线性、不稳定性开环系统。由于传统的比例-积分-微分（PID）控制器的参数是固定的,因此,控制系统无法兼顾悬浮系统的静态和动态性能。本文提出一种基于粒子群优化（PSO）算法的分段专家免疫PID控制器。该控制器先利用免疫PID控制器给出悬浮系统的阶跃响应曲线,再根据误差变化将该曲线划分为五个阶段,分段实现基于PSO算法的专家PID控制器。该控制器的优点是能够在悬浮系统工作时在线对PID参数进行调节,适应误差的不同变化,使控制器响应速度加快、调节精度提高,稳态性能变好,而且几乎没有超调和振荡。利用Matlab仿真,结果表明在相同精度要求下,该控制方法与单一的专家PID控制器的相比,磁浮控制系统的过渡时间变短,调节时间变短且过渡性能较好。     

Remarks on the Riesz Separation Property of the Linear Span of Positive Compact Operators

It is proven that there exists a Dedekind complete Banach lattice E such that the linear spans/f （E） and IV （E） of positive compact and positive weakly compact operators on E fails to possess the Riesz separation property.     

Several Norms of Operators on Banach Lattices

We present some positive results involving the several norms of operators on Banach lattices, which shows several relations of these operator norms.     

Notes on Preregular Operators in Banach Lattices

Some characterizations of preregular operators between two Banach lattices are presented. Then several sufficient conditions for preregular operators being regular are given, and some related results are also obtained.     

关于弱紧算子与紧算子分解的注记

主要讨论Banach格之间弱紧算子与紧算子通过自反Banach格来分解的问题,在已有结果相同的条件下证明了Banach格之间弱紧算子与紧算子由Banach格来分解的一个更具对称形式的分解定理。     

Remark on Regularity of Continuous Operators on AL-Spaces

Let E and F be Banach lattices．It is known that if every continuous linear operator from E into F is regular，then，under some mild assumptions on E or F，either E is lattice isomorphic to an AL-space or F is lattice isomorphic to an AM-space．Here we present a characterization on an AL-space E such that every bounded linear operator from E into a Banach lattice isregular．A counterex．ample is also provided，which shows that the results are unexpected even if the domain is an AL-space or the range space is an AM-space．     

基于PSO算法的磁浮系统PID控制器优化与评价

为了改善磁浮系统的非线性和不稳定性特点,利用微分几何方法将两个不同结构的非线性子系统转化为两个相同结构的线性子系统,设计了基于标准粒子群算法的比例积分微分控制器.从固定惯性权重、线性递减惯性权重和线性微分递减惯性权重中,选出适合电磁铁1和电磁铁2的固定惯性权重,得到电磁铁1控制器的固定惯性权重参数C为0.5,电磁铁2控制器的固定惯性权重参数C为0.49,并且通过建立模糊综合评价模型得出优化后的电磁铁1和电磁铁2的控制器抗干扰的能力是好,且好的隶属度皆为0.561 9.实验结果表明,优化后的磁浮系统具有较好的鲁棒性.