Extremals flows and infinite horizon optimization

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Abstract

We study the existence and the structure of smooth optimal synthesis for regular variational problems with infinite horizon. To do that we investigate the asymptotic behavior of the flows generated by the extremals (of finite horizon problems) using curvature-type invariants of the flows and some methods of hyperbolic dynamics. © 2008 Springer-Verlag Berlin Heidelberg.

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Agrachev, A. A., & Chittaro, F. C. (2008). Extremals flows and infinite horizon optimization. In Mathematical Control Theory and Finance (pp. 1–13). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-69532-5_1

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