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.
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2000 Mathematics Subject Classification. 49N35, 49K15, 49L20.
Research was partially supported by the National Science Foundation under grants Nos. DMS-0305965 and DMS-0405848.
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Schättler, H. Local Fields of Extremals for Optimal Control Problems with State Constraints of Relative Degree 1. J Dyn Control Syst 12, 563–599 (2006). https://doi.org/10.1007/s10883-006-0005-y
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DOI: https://doi.org/10.1007/s10883-006-0005-y