Impulses in structured nonlinear switched DAEs

Rukhsana Kausar, Stephan Trenn

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Abstract

Switched nonlinear differential algebraic equations (DAEs) occur in mathematical modeling of sudden transients in various physical phenomenons. Hence, it is important to investigate them with respect to the nature of their solutions. The few existing solvability results for switched nonlinear DAEs exclude Dirac impulses by definition; however, in many cases this is too restrictive. For example, in water distribution networks the water hammer effect can only be studied when allowing Dirac impulses in a nonlinear switched DAE description. We investigate existence and uniqueness of solutions with impulses for a general class of nonlinear switched DAEs, where we exploit a certain sparse structure of the nonlinear-ity.
Original languageEnglish
Title of host publicationProceedings of the 56th IEEE Conf. Decision Control (CDC 2017)
PublisherIEEE
Pages3181-3186
Number of pages6
DOIs
Publication statusPublished - 2017
Externally publishedYes

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