Existence, stability and optimality for optimal control problems governed by maximal monotone operators

Luis M. Briceño-Arias, Nguyen Dinh Hoang, Juan Peypouquet*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)
31 Downloads (Pure)

Abstract

We study optimal control problems governed by maximal monotone differential inclusions with mixed control-state constraints in infinite dimensional spaces. We obtain some existence results for this kind of dynamics and construct the discrete approximations that allows us to strongly approximate optimal solutions of the continuous-type optimal control problems by their discrete counterparts. Our approach allows us to apply our results for a wide class of mappings that are applicable in mechanics and material sciences.

Original languageEnglish
Pages (from-to)733-757
Number of pages25
JournalJournal of Differential Equations
Volume260
Issue number1
DOIs
Publication statusPublished - 1-Jan-2016
Externally publishedYes

Keywords

  • Discrete approximations
  • Generalized differentiation
  • Maximal monotone differential inclusions
  • Normal cone mappings
  • Optimal control
  • Variational analysis

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