Stability and Sensitivity Analysis for Optimal Control Problems with a First-order State Constraint having (nonessential) Touch Points

摘要: The paper deals with an optimal control problem a scalar first-order state constraint and control. In presence of (nonessential) touch points, the arc structure trajectory is not stable. We show how to perform sensitivity analysis that predicts which points will, under small perturbation, become inactive, remain or switch into boundary arcs. main tools are study quadratic tangent notion strong regularity. results can be interpreted as extension shooting algorithm case when occur for constraints. An illustrative example given.