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

页码：216 / 239

页数：24

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