Title :
Irreducible representations of L2-signals
Author :
Picci, Giorgio ; Pinzoni, Stefano
Author_Institution :
Dipartimento di Elettronica e Inf., Padova Univ., Italy
Abstract :
The authors consider linear dynamic representations of L 2-signals, i.e., shift-invariant vector spaces of L 2-functions. The trajectories of the signal are generated as the output of linear time-invariant systems driven by L2 inputs. The authors characterize the properties of minimal representations in terms of their zeros and show how equivalent minimal representations are related to each other by the action of the state-feedback group
Keywords :
feedback; linear systems; matrix algebra; modelling; L2-functions; L2-signals; irreducible representations; linear dynamic representations; linear time-invariant systems; matrix algebra; minimal representations; modelling; shift-invariant vector spaces; state-feedback group; Convolution; Equations; Extraterrestrial measurements; H infinity control; Linear systems; Noise measurement; Signal generators; Stochastic processes; Stochastic resonance; Stochastic systems; Vectors; White noise;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261240
