Generic Profit Singularities in Time-Averaged Optimization for Cyclic Processes in Polydynamical Systems |
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Authors: | A. A. Davydov H. Mena-Matos C. S. Moreira |
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Affiliation: | 1. Vladimir State University, Russia; IIASA, Austria 2. Faculdade de Ciencias-Universidade do Porto and Centro de Matematica da Universidade do Porto, Porto, Portugal 3. University of Porto and CMUP, Porto, Portugal
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Abstract: | We consider the optimization problem of maximizing the time-averaged profit for the motion of a smooth polydynamical system on the circle in the presence of a smooth profit density. If the problem depends on a k-dimensional parameter, then the optimal averaged profit is a function of the parameter. It is known from [4] that an optimal motion can always be selected among stationary strategies and a special type of periodic motions called level cycles. We present a classification of all generic singularities of the optimal averaged profit if k?≤?2 and the maximum is provided by level cycles. |
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