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Attracting ellipsoids and synthesis of oscillatory regimes

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Abstract

An approach to stabilization of nonlinear oscillations in multidimensional spaces is proposed on the basis of the V.I. Zubov’s stability theory for invariant sets. As a special case, the derived controls make it possible to excite self-oscillating regimes in specified state subspaces R 2k ⊂ R 2n with simultaneous oscillation damping on Cartesian products R 2n−2k.

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Authors and Affiliations

  1. Volgograd State Technical University, Volgograd, Russia

    A. S. Gorobtsov, O. E. Grigor’eva & E. N. Ryzhov

Authors
  1. A. S. Gorobtsov
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  2. O. E. Grigor’eva
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  3. E. N. Ryzhov
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Additional information

Original Russian Text © A.S. Gorobtsov, O.E. Grigor’eva, E.N. Ryzhov, 2009, published in Avtomatika i Telemekhanika, 2009, No. 8, pp. 40–48.

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Gorobtsov, A.S., Grigor’eva, O.E. & Ryzhov, E.N. Attracting ellipsoids and synthesis of oscillatory regimes. Autom Remote Control 70, 1301–1308 (2009). https://doi.org/10.1134/S0005117909080037

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  • DOI: https://doi.org/10.1134/S0005117909080037

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