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Please use this identifier to cite or link to this item: http://eprint.iitd.ac.in/handle/2074/118

Title: On Input/Output Maps for Nonlinear Systems via Continuity in a Locally Convex Topology
Authors: Mazumdar, Ravi R
Kannurpatti, Raghavan B
Bagchi, Arunabha C
Keywords: output of a nonlinear system
nonlinear differential equation
abstract semi-linear infinite
dimensional systems.
Hilbert-Schmidt operators in Hilbert space
Issue Date: 1995
Citation: Systems & Control Letters 24 273-281
Abstract: In this paper we show that the output of a nonlinear system with inputs in (L2 [0, T]; R') whose state satisfies a nonlinear differential equation with standard smoothness conditions can be written as the composition of a nonlinear map with a linear Hilbert-Schmidt operator acting on the input. The result also extends to abstract semi-linear infinite dimensional systems. The approach is via the study of the continuity of the solution in a locally convex topology generated by seminorms of Hilbert-Schmidt operators in Hilbert space. The result reveals an entirely new structure related to nonlinear systems which can lead to useful approximation results.
URI: http://eprint.iitd.ac.in/dspace/handle/2074/118
Appears in Collections:Electrical Engineering

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