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

Contact details are reproduced from the original publication and may be historical.

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

J. F. Bonnans, N. P. Osmolovskii. “Second-Order Analysis of Optimal Control Problems with Control and Initial-Final State Constraints.” Journal of Convex Analysis 17 (2010), No. 3&4, 885–913.