2000 character limit reached
Quadratic order conditions for bang-singular extremals (1107.0161v4)
Published 1 Jul 2011 in math.OC and cs.SY
Abstract: This paper deals with optimal control problems for systems affine in the control variable. We consider 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 derive a second order sufficient condition for the scalar control case.