Title :
Infinite dimensional analytic systems
Author_Institution :
Northern Illinois University, De Kalb
Abstract :
Two function space realizations of a nonlinear system evolving analytically in a Banach space are given, as linear distributed systems evolving in spaces of analytic functions defined on the Banach space and on its dual. Integral formulas and consequent estimates for the nonlinear states and outputs are thereby obtained, as well as a Volterra series expansion of the input-output map when the system is linearly controlled.
Keywords :
Control systems; Educational institutions; Equations; Fourier transforms; Linearity; Nonlinear control systems; Nonlinear systems; Space technology; State estimation; Vectors;
Conference_Titel :
Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications, 1977 IEEE Conference on
Conference_Location :
New Orleans, LA, USA
DOI :
10.1109/CDC.1977.271586