Title :
Induced convolution operator norms for discrete-time linear systems
Author :
Chellaboina, VijaySekhar ; Haddad, Wassim M. ; Bernstein, Dennis S. ; Wilson, David A.
Author_Institution :
Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
In this paper we develop explicit formulas for induced convolution operator norms and their bounds. These results generalize the established induced operator norms for discrete-time linear systems with various classes of input-output signal pairs
Keywords :
asymptotic stability; convolution; discrete time systems; linear systems; asymptotic stability; discrete-time systems; induced convolution operator; input-output signal pairs; linear systems; upper bound; Actuators; Aerospace engineering; Control systems; Control theory; Convolution; Linear systems; Size control; Transfer functions; Uncertainty; Vectors;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.832826
