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Journal of Convex Analysis 17 (2010), No. 3&4, 885--913
Copyright Heldermann Verlag 2010

Second-Order Analysis of Optimal Control Problems with Control and Initial-Final State Constraints

J. Frédéric Bonnans
Centre de Mathématiques Appliquées, Ecole Polytechnique, Route de Saclay, 91128 Palaiseau, France

Nikolai P. Osmolovskii
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warszawa, Poland

This paper provides an analysis of Pontryagin minima satisfying a quadratic growth condition, for optimal control problems of ordinary differential equations with constraints on initial-final state, as well as control constraints satisfying the uniform positive linear independence condition.

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