Limit Occupational Measures Set for a Control System and Averaging of Singularly Perturbed Control Systems

V. Gaitsgory*, A. Leizarowitz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)

Abstract

We discuss conditions for the existence of the limit occupational measures set for a control system. We approximate slow components of the trajectories of a singularly perturbed control system by the solutions of a differential inclusion. The differential inclusion is obtained via averaging the slow subsystem over measures from the limit occupational measures set constructed for the associated system describing the "fast" motions with "frozen" slow ones.

Original languageEnglish
Pages (from-to)461-475
Number of pages15
JournalJournal of Mathematical Analysis and Applications
Volume233
Issue number2
DOIs
Publication statusPublished - 15 May 1999
Externally publishedYes

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