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
frederic.bonnans@inria.fr
Nikolai P. Osmolovskii
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warszawa, Poland
osmolovski@ap.siedlce.pl
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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