Quadratic order conditions for bang-singular extremals
arXiv:1107.016170 citationsh-index: 27
Originality Synthesis-oriented
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Provides theoretical advances in optimal control theory for problems with control constraints, but the results are incremental and specialized.
The paper derives second-order necessary and sufficient optimality conditions for optimal control problems with affine control, nonnegativity constraints, and final-state constraints, focusing on bang-singular extremals.
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.