The maximum principle for control distributions

George K. Francis

Research output: Contribution to journalArticle

Abstract

Pontrjagin's maximum principle holds for a switchable distribution of C1-regular nonautonomous vector fields on a finite dimensional C2-manifold. The flow-theoretic proof does not require that the distribution contains those autonomous fields that correspond to constant controllers in the classical formulation.

Original languageEnglish (US)
Pages (from-to)107-118
Number of pages12
JournalAnnali di Matematica Pura ed Applicata, Series 4
Volume96
Issue number1
DOIs
StatePublished - Dec 1 1973

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ASJC Scopus subject areas

  • Applied Mathematics

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