Induced Convolution Operator Norms of Linear Dynamical Systems |
| |
| Authors: | VijaySekhar Chellaboina Wassim M. Haddad Dennis S. Bernstein David A. Wilson |
| |
| Affiliation: | (1) Mechanical and Aerospace Engineering, University of Missouri–Columbia, Columbia, Missouri 65211-2200, U.S.A. ChellaboinaV@missouri.edu., US;(2) School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0150, U.S.A. wm.haddad@aerospace.gatech.edu., US;(3) Department of Aerospace Engineering, The University of Michigan, Ann Arbor, Michigan 48109-2140, U.S.A. dsbaero@umich.edu., US;(4) Department of Electronic and Electrical Engineering, The University of Leeds, Leeds LS2 9JT, England. daw@elec-eng.leeds.ac.uk., GB |
| |
| Abstract: | 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. Date received: April 1, 1999. Date revised: February 21, 2000. |
| |
| Keywords: | . Convolution operators, Hankel operators, Induced norms, Mixed-induced norms, Bounded energy signals, Bounded amplitude signals, H∞ norm, L1 norm. |
| 本文献已被 SpringerLink 等数据库收录！ |
|
