Banach空间中无限维线性系统的能控性

研究在非自反状态空间和自反控制空间中无限维线性系统x(t)=Ax(t) Bu(t)的精确能控性和精确零能控性.当A生成C-半群时,得到这个系统关于L~p([O,T],U),1相似文献   

α-次积分C-半群与抽象柯西问题

本文引入一般的α-次积分C-半群和mildα-次积分C-存在族概念,并讨论它们与抽象柯西问题的联系．     

指数有界的C余弦算子函数

本文引入了指数有界的Ｃ余弦算子函数的生成元，讨论了生成元的基本性质，建立了相应的生成定理、逼近定理及扰动定理．最后给出了指数有界的Ｃ余弦算子函数与指数有界的Ｃ半群的基本联系．     

c半群的谱映射定理

本文从考察C半群的谱特征入手，得到了C半群的谱映射定理，并借助于C半群与积分半群的关系得到ｎ次积分半群的一个谱映射定理．     

Approximation Theoretic Aspects of Probabilistic Representations for Bi-continuous C-semigroups

By means of Riemann-Stieltjes stochastic process, moment-generating functions and operator-valued mathematical expectation, the problem of probabilistic approximation for bi-continuous C-semigroups is studied and the general probabilistic approximation of exponential formulas and the generation theorems are given.     

双连续n次积分C余弦函数的逼近定理

基于双连续半群概念,引入一致双连续半群序列概念,借助Laplace变换和Trotter-Kato定理,考察双连续n次积分C余弦函数与C-预解式之间的关系,得到逼近定理的稳定性条件,进而得出双连续n次积分C余弦函数逼近定理.从而对Banach空间强连续半群逼近定理和双连续半群逼近定理进行了推广,为相应抽象的Cauchy问题提供了解决方案.     

Mesoporous Carbons Templated by PEO-PCL Block Copolymers as Electrode Materials for Supercapacitors

In this study, samples of activated mesoporous carbon are fabricated with pore structures with cylinder and gyroid nanostructures through the templating effect of amphiphilic poly(ethylene oxide-block-caprolactone) (PEO-PCL) and by using specific resol/PEO-PCL weight ratios (e.g., 60:40 for cylinders; 55:45 for gyroids). After carbonization and KOH activation, the activated mesoporous carbons were tested as electrode materials for electric double-layer capacitor (EDLC) supercapacitors. The electrochemical properties were examined by using three-electrode (6 m KOH_(aq) as electrolyte) and CR2032 coin-cell (1 m tetraethylammonium tetrafluoroborate (TEABF₄)/CN as the electrolyte) systems. The gyroid carbon samples provided specific capacitances higher than those of the cylinder carbon samples in both aqueous and organic systems: 155 F g⁻¹ compared with 135 F g⁻¹ in 6 m KOH_(aq), and 105.6 compared with 96 F g⁻¹ in 1 m TEABF₄/MeCN, after 100 charge/discharge cycles. It is suspected that the bi-continuous mesochannels of the gyroid-type activated mesoporous carbons provided a relatively higher effective adsorption surface area; in other words, the greater surface area for energy storage originated from a moderate pore size and an interconnected pore structure.     

MULTIPLICATIVE PERTURBATIONS OF LOCALα-TIMES INTEGRATED C-SEMIGROUPS

We establish some left and right multiplicative perturbations of a local α-times integrated C-semigroup S(·) on a complex Banach space X with non-densely defined generator, which can be applied to obtain some additive perturbation results concerning S(·). Some growth conditions of the perturbations of S(·) are also established.     

Subgenerators of <Emphasis Type="Italic">C</Emphasis>-semigroups on <Emphasis Type="Italic">l</Emphasis><Superscript>2</Superscript>

This paper gives some results about the subgenerators of special C-semigroups on l2, partly answers the problem mentioned in [1].