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arXiv · 2007.08250

On the Nonuniqueness and Instability of Solutions of Tracking-Type Optimal Control Problems

Constantin Christof·Dominik Hafemeyer
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Abstract

We study tracking-type optimal control problems that involve a non-affine, weak-to-weak continuous control-to-state mapping, a desired state $y_d$, and a desired control $u_d$. It is proved that such problems are always nonuniquely solvable for certain choices of the tuple $(y_d, u_d)$ and instable in the sense that the set of solutions (interpreted as a multivalued function of $(y_d, u_d)$) does not admit a continuous selection.

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Constantin Christof, Dominik Hafemeyer. 2020-07-16. On the Nonuniqueness and Instability of Solutions of Tracking-Type Optimal Control Problems. https://arxiv.org/abs/2007.08250

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