Chattering variational limits of control systems†

Zvi Artstein, Héctor J. Sussmann

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

Variational convergence is developed for optimal control problems depending on time-varying parameters. Systems with chattering parameters serve then as variational limits when the parameters are rapidly oscillating. Continuity of the value, robustness of controls and continuous dependence of optimal controls are examined.

Original languageEnglish (US)
Pages (from-to)369-404
Number of pages36
JournalForum Mathematicum
Volume5
Issue number5
DOIs
StatePublished - Jan 1 1993

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Mathematics(all)

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