Abstract
We consider the problem of maximizing the (time) averaged profit of a smooth profit density on a smooth compact one-dimensional manifold along a trajectory provided by a stationary strategy of a polydynamical system. When the problem depends on a k-dimensional parameter, this optimal averaged profit can have singularities (points of nonsmoothness) as a function of the parameter. We present the generic classification of these singularities for k ≤ 3.
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Mena-Matos, H., Moreira, C. Generic Singularities of the Optimal Averaged Profit among Stationary Strategies. J Dyn Control Syst 13, 541–562 (2007). https://doi.org/10.1007/s10883-007-9026-4
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DOI: https://doi.org/10.1007/s10883-007-9026-4