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Optimal control of ellipsoidal motions

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Abstract

We study the target control problem for systems with ellipsoid-valued trajectories admitting reconfiguration of the ellipsoids in the course of motion. We present solutions for linear-convex systems in the class of positional (synthesized) controls under integral-quadratic motion performance criteria. We use Hamiltonian formalism methods, including the dynamic programming equations for such systems.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    A. B. Kurzhanski & A. I. Mesyats

Authors
  1. A. B. Kurzhanski
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  2. A. I. Mesyats
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Additional information

Original Russian Text © A.B. Kurzhanski, A.I. Mesyats, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 11, pp. 1525–1532.

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Kurzhanski, A.B., Mesyats, A.I. Optimal control of ellipsoidal motions. Diff Equat 48, 1502–1509 (2012). https://doi.org/10.1134/S0012266112110080

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  • DOI: https://doi.org/10.1134/S0012266112110080

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