Induced convolution operator norms of linear dynamical systems

被引：34
作者：
Chellaboina, V [1 ]
Haddad, WM
Bernstein, DS
Wilson, DA
机构：
[1] Univ Missouri, Columbia, MO 65211 USA
[2] Georgia Inst Technol, Sch Aerosp Engn, Atlanta, GA 30332 USA
[3] Univ Michigan, Dept Aerosp Engn, Ann Arbor, MI 48109 USA
[4] Univ Leeds, Dept Elect & Elect Engn, Leeds LS2 9JT, W Yorkshire, England
来源：
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2000年 / 13卷 / 03期
关键词：
convolution operators; Hankel operators; induced norms; mixed-induced norms; bounded energy signals; bounded amplitude signals; H-infinity norm; L-1; norm;
D O I：
10.1007/PL00009868
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we develop explicit formulas for induced convolution operator norms and their bounds. These results generalize established induced operator norms for linear dynamical systems with various classes of input-output signal pairs.
引用
收藏
页码：216 / 239
页数：24
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