Singular Arcs in Optimal Periodic Controls for Scalar Dynamics and Integral Input Constraint

نویسندگان

چکیده

We revisit recent results about optimal periodic control for scalar dynamics with input integral constraint, under lack of convexity and concavity. show that in this more general framework, the solutions are bang-singular-bang generalize bang-bang convex case purely singular concave one. introduce a non-local slope condition to characterize arcs. The illustrated on class bioprocesses models.

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ژورنال

عنوان ژورنال: Journal of Optimization Theory and Applications

سال: 2022

ISSN: ['0022-3239', '1573-2878']

DOI: https://doi.org/10.1007/s10957-022-02095-y