Bang-bang property for Bolza problems in two dimensions

G. Crasta, B. Piccoli

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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
Issue number1
StatePublished - Oct 1994
Externally publishedYes

ASJC Scopus subject areas

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


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


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