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Solution Examples on Ellipsoidal Methods: Computation in High Dimensions

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Dynamics and Control of Trajectory Tubes

Part of the book series: Systems & Control: Foundations & Applications ((SCFA,volume 85))

Abstract

In this chapter we describe solution examples for controlled systems that illustrate the contents of Chaps. 1– 3. These include the multiple integrator, planar Newtonian motions and calming down a chain of springs. Special sections are devoted to relevant computational formulas and high-dimensional systems. Also discussed are possible degeneracy effects in computation and the means of their avoidance.

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Notes

  1. 1.

    The illustrations for the presented solutions were provided by N.Bairamov, A.Mesiats, D.Odinokov, and V.Stepanovich.

  2. 2.

    This section follows paper [58].

References

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State (Lomonosov) University, Moscow, Russia

    Alexander B. Kurzhanski

  2. Electrical Engineering and Computer Sciences, University of California, Berkeley, Berkeley, CA, USA

    Alexander B. Kurzhanski & Pravin Varaiya

Authors
  1. Alexander B. Kurzhanski
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  2. Pravin Varaiya
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Kurzhanski, A.B., Varaiya, P. (2014). Solution Examples on Ellipsoidal Methods: Computation in High Dimensions. In: Dynamics and Control of Trajectory Tubes. Systems & Control: Foundations & Applications, vol 85. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-10277-1_4

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