Local Fields of Extremals for Optimal Control Problems with State Constraints of Relative Degree 1

Authors:
H. Schättler
Affiliations:
Dept. of Electrical and Systems Engineering, Washington University, St. Louis 63130-4899
Venue:
Journal of Dynamical and Control Systems
Year:
2006

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Abstract

A local embedding of a boundary arc into a field of extremals is constructed for single-input optimal control problems with state space constraints given by control-invariant manifolds of relative degree 1. The strong local optimality of the reference trajectory is proved.