3 QUADRATIC ORDER CONDITIONS FOR BANG-SINGULAR EXTREMALS
M. Soledad Aronna, J. Frédéric Bonnans, А. В. Дмитрук, Pablo A. Lotito, A. Lotito · 2011
Abstract. This paper deals with optimal control problems for systems affine in the control variable. We have nonnegativity constraints on the control, and finitely many equality and inequality constraints on the final state. First, we obtain second order necessary optimality conditions. Secondly, we get a second order sufficient condition for the scalar control case. The results use in an essential way the Goh transformation. 1.