Optimal control problems in hybrid systems with active singularities

Boris M. Miller, Joseph Bentsman

Research output: Contribution to journalArticlepeer-review

Abstract

The optimal control problem for systems with controlled unilateral phase constraints is considered. The definition of the generalized solutions is introduced, the transformation method for the original optimal control problem within the class of generalized solution to a standard optimal control problem is proposed, and the necessary optimality conditions are found.

Original languageEnglish (US)
Pages (from-to)999-1017
Number of pages19
JournalNonlinear Analysis, Theory, Methods and Applications
Volume65
Issue number5
DOIs
StatePublished - Sep 1 2006

Keywords

  • Generalized solutions
  • Impulse controls
  • Maximum principle
  • Optimization
  • Phase constraints

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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