HIGH ORDER TEST FOR OPTIMALITY OF BANG-BANG CONTROLS.

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

For control systems of the form dx/dt equals X(x) plus SIGMA Y//i(x)u//i, where the summation is from i equals l to m, a strengthened version of the classical Pontryagin maximum principle is proved. The necessary condition for optimality given here is obtained using functional analytic techniques and quite general high-order perturbations of the reference control. As shown by an example, this test is particularly effective when applied to bang-bang controls, a case where other high order tests do not provide additional information.

Original languageEnglish (US)
Pages (from-to)38-48
Number of pages11
JournalSIAM Journal on Control and Optimization
Volume23
Issue number1
DOIs
StatePublished - Jan 1 1985

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Bang-bang Control
Optimality
Higher Order
Pontryagin Maximum Principle
Maximum principle
Summation
Control System
Perturbation
Control systems
Necessary Conditions
Form

All Science Journal Classification (ASJC) codes

  • Control and Optimization
  • Applied Mathematics

Cite this

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HIGH ORDER TEST FOR OPTIMALITY OF BANG-BANG CONTROLS. / Bressan, Alberto.

In: SIAM Journal on Control and Optimization, Vol. 23, No. 1, 01.01.1985, p. 38-48.

Research output: Contribution to journalArticle

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