Title :
Shift operators and bilinear system theory
Author_Institution :
University of Rochester, Rochester, New York
Abstract :
By using shift operators on linear spaces a theory of bilinear systems is presented. A restricted backward shift realization (RBSR) of a Volterra series input-output map is introduced. The RBSR is used to solve the bilinear realization problem. The RBSR is used to develop a theory of minimality for bilinear systems. Minimal bilinear systems are shown to be equivalent. The RBSR is used to develop a theory of reachability and observability for bilinear systems. An algorithm that computes the minimal bilinear realization of a Volterra series input-output map is given.
Keywords :
Nonlinear systems; Observability; Topology; Transfer functions;
Conference_Titel :
Decision and Control including the 17th Symposium on Adaptive Processes, 1978 IEEE Conference on
Conference_Location :
San Diego, CA, USA
DOI :
10.1109/CDC.1978.267991
