HIGH ORDER TEST FOR OPTIMALITY OF BANG-BANG CONTROLS.

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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

All Science Journal Classification (ASJC) codes

  • Control and Optimization
  • Applied Mathematics

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