Bang-bang property for Bolza problems in two dimensions

G. Crasta, B. Piccoli

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Consider the following Bolza problem: {Mathematical expression} We show that, under suitable assumptions on F, G, h, all optimal trajectories are bang-bang. The proof relies on a geometrical approach that works for every smooth two-dimensional manifold. As a corollary, we obtain existence results for nonconvex optimization problems.

Original languageEnglish (US)
Pages (from-to)155-165
Number of pages11
JournalJournal of Optimization Theory and Applications
Volume83
Issue number1
DOIs
StatePublished - Oct 1 1994

Fingerprint

Bolza Problem
Optimal Trajectory
Nonconvex Optimization
Nonconvex Problems
Existence Results
Corollary
Two Dimensions
Trajectories
Optimization Problem
Trajectory
Optimization problem

All Science Journal Classification (ASJC) codes

  • Control and Optimization
  • Management Science and Operations Research
  • Applied Mathematics

Keywords

  • Bolza problems
  • Control theory
  • bang-bang property
  • nonconvex optimization problems

Cite this

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Bang-bang property for Bolza problems in two dimensions. / Crasta, G.; Piccoli, B.

In: Journal of Optimization Theory and Applications, Vol. 83, No. 1, 01.10.1994, p. 155-165.

Research output: Contribution to journalArticle

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AU - Piccoli, B.

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