Open-Loop Control of a Plant Described by a System with Nonsmooth Right-Hand Side

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2 Scopus citations

Abstract

Open-loop control of a plant governed by a system of differential equations in normal form is studied. The right-hand side of this system includes nonsmooth terms. The original problem is reduced to the unconstrained minimization of a nonsmooth functional. Necessary and sufficient minimum conditions in terms of subdifferential are found. Based on these conditions, the subdifferential descent method is used to solve the problem. The proposed approach is illustrated by numerical examples.

Original languageEnglish
Pages (from-to)1639-1648
Number of pages10
JournalComputational Mathematics and Mathematical Physics
Volume59
Issue number10
Early online date30 Oct 2019
DOIs
StatePublished - 2019

Scopus subject areas

  • Computational Mathematics

Keywords

  • nonsmooth functional
  • nonsmooth right-hand side
  • open-loop control
  • subdifferential descent method
  • variational problem
  • STATE
  • OPTIMALITY CONDITIONS

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