EPrints@IIT Delhi : Item 2074/118

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DC Field	Value	Language
contributor.author	Mazumdar, Ravi R	-
contributor.author	Kannurpatti, Raghavan B	-
contributor.author	Bagchi, Arunabha C	-
date.accessioned	2005-03-24T10:13:35Z	-
date.available	2005-03-24T10:13:35Z	-
date.issued	1995	-
identifier.citation	Systems & Control Letters 24 273-281	en
identifier.uri	http://eprint.iitd.ac.in/dspace/handle/2074/118	-
description.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.	en
format.extent	435438 bytes	-
format.mimetype	application/pdf	-
language.iso	en	-
subject	output of a nonlinear system	en
subject	nonlinear differential equation	en
subject	abstract semi-linear infinite	en
subject	dimensional systems.	en
subject	Hilbert-Schmidt operators in Hilbert space	en
title	On Input/Output Maps for Nonlinear Systems via Continuity in a Locally Convex Topology	en
type	Article	en
Appears in Collections:	Electrical Engineering

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