Suboptimization of singularly perturbed control systems

Vladimir Gaitsgory*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

94 Citations (Scopus)


A technique different from the boundary layer method is developed to deal with singularly perturbed optimal control problems. The technique is applicable, in particular, in the case when the optimal control takes the form of fast oscillations and the boundary layer method cannot be used. Necessary and sufficient conditions for the optimal control to be slow are given. The results are illustrated by examples.

Original languageEnglish
Pages (from-to)1228-1249
Number of pages22
JournalSIAM Journal on Control and Optimization
Issue number5
Publication statusPublished - Sep 1992
Externally publishedYes


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