English  |  正體中文  |  简体中文  |  Items with full text/Total items : 67621/67621 (100%)
Visitors : 23117087      Online Users : 122
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version


    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/28027


    Title: MULTIPLICATIVE PERTURBATIONS OF C-0-SEMIGROUPS AND SOME APPLICATIONS TO STEP RESPONSES AND CUMULATIVE OUTPUTS
    Authors: PISKAREV,S;SHAW,SY
    Contributors: 數學研究所
    Date: 1995
    Issue Date: 2010-06-29 19:40:32 (UTC+8)
    Publisher: 中央大學
    Abstract: 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.
    Relation: JOURNAL OF FUNCTIONAL ANALYSIS
    Appears in Collections:[數學研究所] 期刊論文

    Files in This Item:

    File Description SizeFormat
    index.html0KbHTML266View/Open


    All items in NCUIR are protected by copyright, with all rights reserved.

    社群 sharing

    ::: Copyright National Central University. | 國立中央大學圖書館版權所有 | 收藏本站 | 設為首頁 | 最佳瀏覽畫面: 1024*768 | 建站日期:8-24-2009 :::
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback  - 隱私權政策聲明