Multiscale singularly perturbed control systems

Limit occupational measures sets and averaging

Vladimir Gaitsgory*, Minh Tuan Nguyen

*Corresponding author for this work

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

An averaging technique for nonlinear multiscale singularly perturbed control systems is developed. Issues concerning the existence and structure of limit occupational measures sets generated by such systems are discussed. General results are illustrated with special cases.

Original languageEnglish
Pages (from-to)954-974
Number of pages21
JournalSIAM Journal on Control and Optimization
Volume41
Issue number3
DOIs
Publication statusPublished - 2003
Externally publishedYes

Keywords

  • Approximation of slow motions
  • Averaging method
  • Limit occupational measures sets
  • Multiscale singularly perturbed control systems
  • Nonlinear control
  • Occupational measures

Fingerprint Dive into the research topics of 'Multiscale singularly perturbed control systems: Limit occupational measures sets and averaging'. Together they form a unique fingerprint.

Cite this