Title :
Banach-space theory of analytic systems
Author_Institution :
Sheffield City Polytechnic, Department of Electrical and Electronic Engineering, Sheffield, UK
fDate :
9/1/1981 12:00:00 AM
Abstract :
The paper deals with nonlinear systems whose input/output relation may be represented by a functional power series in Banach space. It is shown how certain types of forced analytic differential equation (including the analytic state-space equation) can be solved explicity by such functional series. Special attention is given to the convergence of the solution which is related to the bounded-input/bounded output stability of the system.
Keywords :
convergence; nonlinear differential equations; nonlinear systems; series (mathematics); stability; state-space methods; Banach space; analytic state-space equation; bounded-input/bounded-output stability; convergence; forced analytic differential equation; functional power series; input/output relation; nonlinear systems;
Journal_Title :
Control Theory and Applications, IEE Proceedings D
Conference_Location :
9/1/1981 12:00:00 AM
DOI :
10.1049/ip-d:19810041
