On input/output maps for nonlinear systems via continuity in a locally convex topology

Ravi R. Mazumdar, Raghavan Kannurpatti, Arunabha Bagchi

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    In this paper we show that the output of a nonlinear system with inputs in () 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.
    Original languageUndefined
    Pages (from-to)273-281
    Number of pages9
    JournalSystems and control letters
    Issue number24
    Publication statusPublished - 1995


    • METIS-140824
    • IR-30184

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