Conditions for the absence of jumps of the solution to the adjoint system of the maximum principle for optimal control problems with state constraints |
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| Authors: | A. V. Arutyunov D. Yu. Karamzin F. L. Pereira |
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| Affiliation: | 1.Tel-Aviv University,Tel Aviv,Israel;2.Sobolev Institute of Mathematics,Siberian Branch of the Russian Academy of Sciences,Novosibirsk,Russia |
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| Abstract: | ![]()
We study the Birkhoff billiard in a convex domain with a smooth boundary γ. We show that if this dynamical system has an integral which is polynomial in velocities of degree 4 and is independent with the velocity norm, then γ is an ellipse. |
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