Sufficient Conditions for Local Optimality in Multidimensional Control Problems with State Restrictions

  • Sabine Pickenhain

    Brandenburgische Technische Universität Cottbus, Germany
  • Klaus Tammer

    Hochschule für Technik, Wirtschaft und Kultur (HTWK), Leipzig, Germany

Abstract

New sufficient conditions for strong local minimality in multidimensional control pro-blems with state restrictions are presented. The results are obtained by applying duality theory and second order sufficient optimality conditions for optimization problems with functions having a locally Lipschitzian gradient mapping.

Cite this article

Sabine Pickenhain, Klaus Tammer, Sufficient Conditions for Local Optimality in Multidimensional Control Problems with State Restrictions. Z. Anal. Anwend. 10 (1991), no. 3, pp. 397–405

DOI 10.4171/ZAA/461