Quadratic conditions for bang-singular extremals

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.
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Maria Soledad Aronna, J. Frederic Bonnans, Andrei V. Dmitruk, Pablo Lotito. Quadratic conditions for bang-singular extremals. Numerical Algebra, Control and Optimization, AIMS Journal, American Institute for Mathematical Sciences, 2012, A special issue dedicated to Professor Helmut Maurer on the occasion of his 65th. birthday, 2 (3), pp.511-546. ⟨10.3934/naco.2012.2.511⟩. ⟨inria-00605128v3⟩

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