descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1996 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Control and Optimization, volume 34, pages 635-659 (issn: 0363-0129, eissn: 1095-7138,

Authors: STEFANI, GIANNA; ZEZZA, PIERLUIGI;

doi: 10.1137/s0363012994260945

handle: 2158/340223

Optimality Conditions for a Constrained Control Problem

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Abstract

The authors study an optimal control problem for an ordinary differential equation. The problem is stated in the Mayer form, i.e., the objective function depends only on the initial- and final-values of the trajectories which are assumed to satisfy certain equality constraints. The authors prove first- and second-order necessary and sufficient optimality conditions.

Related Organizations

University of Florence
Italy

Keywords

optimality conditions, Necessary and sufficient conditions, Optimal control, Second-order conditions, State-control constraints, optimal control problem, Nonlinear systems in control theory, Optimality conditions for problems in abstract spaces, Optimality conditions for problems involving ordinary differential equations, Model systems in control theory

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