On a representation of the limit occupational measures set of a control system with applications to singularly perturbed control systems

Vladimir Gaitsgory*

*Corresponding author for this work

Research output: Contribution to journalArticle

42 Citations (Scopus)

Abstract

A representation of the limit occupational measures set of a control system in terms of the vector function defining the system's dynamics is established. Applications in averaging of singularly perturbed control systems are demonstrated.

Original languageEnglish
Pages (from-to)325-340
Number of pages16
JournalSIAM Journal on Control and Optimization
Volume43
Issue number1
DOIs
Publication statusPublished - 2005
Externally publishedYes

Keywords

  • Approximation of slow motions
  • Averaging method
  • Limit occupational measures sets
  • Occupational measures
  • Singularly perturbed control systems

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