Title :
The Lie groups of simple feedback systems
Author_Institution :
Harvard University, Cambridge, Massachusetts
Abstract :
In this paper we classify linear time invariant control systems according to the symmetery properties they display with respect to output feed-back. Our results show that there are just four possibilities which are easily distinguishable from the transfer functions itself. These results have important implications for feedback stability studies, for the investigation of parametric controllability, and for the construction of special, highly structured, state variable representations.
Keywords :
Algebra; Feedback; Physics; Stability;
Conference_Titel :
Decision and Control including the 15th Symposium on Adaptive Processes, 1976 IEEE Conference on
Conference_Location :
Clearwater, FL, USA
DOI :
10.1109/CDC.1976.267667