Generating series and nonlinear systems: Analytic aspects, local realizability, and i/o representations

This paper studies fundamental analytic properties of generating series for nonlinear control Systems, and of the operators they define. It then applies the results obtained to the extension of facts, which relate realizability and algebraic input/Output equations, to local realizability and analytic equations. 1991 Mathematics Subj'ect Classification: 93B15; 93A25, 93B25, 93B27, 93B29.