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ArticleOriginal scientific text

Title

Minima in control problems with constraints

Authors 1, 2

Affiliations

  1. Dipartimento di Matematica e Applicazioni, Via Mezzocannone 8, 80134 Napoli, Italy
  2. Dipartimento di Matematica Defas, Via C. Lombroso 6/17, 50134 Firenze, Italy

Abstract

This paper is devoted to describing second order conditions in the framework of extremal problems, that is, conditions obtained by reducing the optimal control problem to an abstract one in a suitable Banach (or Hilbert) space. The studied problem includes equality constraints both on the end-points and on the state-control trajectory. The second goal is to give a complete description of necessary and sufficient second order conditions for weak local optimality by describing first the associated linear-quadratic problem and then by giving a conjugate point theory for this linear quadratic problem with constraints.

Keywords

ENG
state-control constraint, necessary, second order conditions, conjugate points, optimal control, sufficient conditions

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Banach Center Publications
1995/32/1
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Pages:
361-378
Main language of publication
English
Published
1995
Exact and natural sciences