MULTIPLICATIVE PERTURBATIONS OF C-0-SEMIGROUPS AND SOME APPLICATIONS TO STEP RESPONSES AND CUMULATIVE OUTPUTS

NCU Institutional Repository > 理學院 > 數學研究所 > 期刊論文 > Item 987654321/28027

jsp.display-item.identifier=請使用永久網址來引用或連結此文件: http://ir.lib.ncu.edu.tw/handle/987654321/28027

题名:	MULTIPLICATIVE PERTURBATIONS OF C-0-SEMIGROUPS AND SOME APPLICATIONS TO STEP RESPONSES AND CUMULATIVE OUTPUTS
作者:	PISKAREV,S;SHAW,SY
贡献者:	數學研究所
日期:	1995
上传时间:	2010-06-29 19:40:32 (UTC+8)
出版者:	中央大學
摘要:	For a C-o-semigroup T(.), we prove a general multiplicative perturbation theorem which subsumes many known multiplicative and additive perturbation theorems, and provides a general framework for systematic study of the perturbation associated with a step response U(.) of a linear dynamical system. If the semivariation SV(U(.), t) of U(.) on [0, t] tends to 0 as t-->0(+), then the infinitesimal operator A(s) of the pair (T(.), U(.)), as a mixed-type perturbation of the generator A of T(.), generates a C-o-semigroup T-s(.) with parallel to T-s(t)-T(t)parallel to=0(1)(t-->0(+)). Furthermore, C-o-semigroups S(.) which satisfy parallel to S(t)-T(t)parallel to=O(t)(t-->0(+)) are exactly those mixed-type perturbations caused by Lipschitz continuous step responses. Perturbations related to a cumulative output V(.) are also investigated by using a multiplicative perturbation theorem of Desch and Schappacher. In particular, we show that bounded additive perturbations of A are exactly those mixed-type perturbations caused by Lipschitz continuous cummulative outputs. It is also shown that the generator of T(.) is bounded if and only if SV(T(.), t) is sufficiently small for all small t. (C) 1995 Academic Press, Inc.
關聯:	JOURNAL OF FUNCTIONAL ANALYSIS
显示于类别:	[數學研究所] 期刊論文

文件中的档案:

档案	描述	大小	格式	浏览次数
index.html		0Kb	HTML	365	检视/开启

在NCUIR中所有的数据项都受到原著作权保护.

社群 sharing

数据加载中.....