Stability Analysis of Optimal Control Problems with a Second-Order State Constraint

This paper gives stability results for nonlinear optimal control problems subject to a regular state constraint of second-order. The strengthened Legendre-Clebsch condition is assumed to hold, and no assumption on the structure of the contact set is made. Under a weak secondorder sufficient conditio...

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Bibliographic Details
Published in:	SIAM journal on optimization Vol. 20; no. 1; pp. 104 - 129
Main Author:	Hermant, Audrey
Format:	Journal Article
Language:	English
Published:	Philadelphia Society for Industrial and Applied Mathematics 01.01.2009
Subjects:	Boundary value problems Contact Mathematics Multipliers Norms Optimal control Optimization Optimization and Control Ordinary differential equations Perturbation methods Regularity Stability Studies alternative formulation uniform quadratic growth Optimal control stability analysis second-order state constraint strong regularity sufficient second-order optimality condition
ISSN:	1052-6234, 1095-7189
Online Access:	Get full text
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