Induced convolution operator norms of linear dynamical systems

Authors
Chellaboina, V Haddad, WM Bernstein, DS Wilson, DA
Citation
V. Chellaboina et al., Induced convolution operator norms of linear dynamical systems, MATH CONTR, 13(3), 2000, pp. 216-239
Citations number
29
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS
ISSN journal
09324194 → ACNP
Volume
13
Issue
3
Year of publication
2000
Pages
216 - 239
Database
ISI
SICI code
0932-4194(2000)13:3<216:ICONOL>2.0.ZU;2-P
Abstract
In this paper we develop explicit formulas for induced convolution operator norms and their bounds. These results generalize established induced opera tor norms for linear dynamical systems with various classes of input-output signal pairs.