Title :
Shift operators and state-affine system theory
Author_Institution :
Purdue University, W. Lafeyette, IN
Abstract :
Using a transform representation, a state-affine realization theory for a Volterra series input-output map is presented. The approach involves the definition of certain shift operators on linear spaces associated with the transforms of the kernals in the Volterra series. The result is a realization algorithm that is extremely easy to implement. The approach also yields a theory of minimality, span-reachability, and observability for infinite degree state-affine systems.
Conference_Titel :
Decision and Control including the Symposium on Adaptive Processes, 1980 19th IEEE Conference on
Conference_Location :
Albuquerque, NM, USA
DOI :
10.1109/CDC.1980.271932
