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

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dc.contributor.authorMazumdar, Ravi R-
dc.contributor.authorKannurpatti, Raghavan B-
dc.contributor.authorBagchi, Arunabha C-
dc.identifier.citationSystems & Control Letters 24 273-281en
dc.description.abstractIn 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
dc.format.extent435438 bytes-
dc.subjectoutput of a nonlinear systemen
dc.subjectnonlinear differential equationen
dc.subjectabstract semi-linear infiniteen
dc.subjectdimensional systems.en
dc.subjectHilbert-Schmidt operators in Hilbert spaceen
dc.titleOn Input/Output Maps for Nonlinear Systems via Continuity in a Locally Convex Topologyen
Appears in Collections:Electrical Engineering

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