Turnpike solutions of optimal control problems |
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Authors: | Ni Min Quang M Yu Ukhin |
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Affiliation: | (1) East Chinese Pedagogical University, Shanghai, China;(2) Institute of Program Systems, Russian Academy of Sciences, Pereslavl-Zalesskii, Russia |
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Abstract: | Minimizing sequences for degenerate optimal control problems are constructed from turnpike solutions. Two variational approximation schemes for the turnpike solution are described: the first is a direct improvement of the simple approximation of piecewise-continuous turnpikes by the solutions of the initial differential system and the second consists of constructing an approximate optimal control in the neighborhood of a turnpike by a parametric curve in the state space. Since a sequence of state-linear feedback controls with variable coefficients is generated in both variants, turnpikes can be easily realized in practice. |
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Keywords: | 02 30 Yy |
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