Feasible Perturbations of Control Systems with Pure State Constraints and Applications to Second-Order Optimality Conditions - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Applied Mathematics and Optimization Year : 2013

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

Abstract

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.

Dates and versions

hal-00916566 , version 1 (10-12-2013)

Identifiers

Cite

Daniel Hoehener. Feasible Perturbations of Control Systems with Pure State Constraints and Applications to Second-Order Optimality Conditions. Applied Mathematics and Optimization, 2013, 68 (2), pp.219-253. ⟨10.1007/s00245-013-9204-6⟩. ⟨hal-00916566⟩
61 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More