Feasible Perturbations of Control Systems with Pure State Constraints and Applications to Second-Order Optimality Conditions

Journal Article · Tue Oct 15 00:00:00 EDT 2013 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S00245-013-9204-6· OSTI ID:22210463

Hoehener, Daniel ^[1]

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1. Universite Pierre et Marie Curie, Combinatoire and Optimisation, Institut de Mathematiques de Jussieu (UMR 7586) (France)

We propose second-order necessary optimality conditions for optimal control problems with very general state and control constraints which hold true under weak regularity assumptions on the data. In particular the pure state constraints are general closed sets, the optimal control is supposed to be merely measurable and the dynamics may be discontinuous in the time variable as well. These results are obtained by an approach based on local perturbations of the reference process by second-order tangent directions. This method allows direct and quite simple proofs.

• OSTI ID: 22210463
• Journal Information: Applied Mathematics and Optimization, Vol. 68, Issue 2; Other Information: Copyright (c) 2013 Springer Science+Business Media New York; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONTROL SYSTEMS
DISTURBANCES
OPTIMAL CONTROL
PERTURBATION THEORY
PURE STATES