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Asymptotics of nonlinear processes of a controlled approach

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Abstract

Stability of a terminal system of some class that appears in the projection of a control approach is studied, a mathematical model of which is described by a nonlinear system of ordinary differential equations for which no conditions of the existence theorem for solutions constructed by the Lapunov function are satisfied. We obtain criteria of stability, effectiveness of which is shown in concrete examples. nht]mis|Translated from Dinamicheskie Sistemy, No. 7, pp. 62–71, 1988.

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Authors and Affiliations

  1. Sevastopol' Instrument-Construction Institute, USSR

    A. T. Barabanov, V. M. Kuznetsov & B. A. Skorokhod

Authors
  1. A. T. Barabanov
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  2. V. M. Kuznetsov
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  3. B. A. Skorokhod
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Barabanov, A.T., Kuznetsov, V.M. & Skorokhod, B.A. Asymptotics of nonlinear processes of a controlled approach. J Math Sci 65, 1538–1544 (1993). https://doi.org/10.1007/BF01097660

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  • DOI: https://doi.org/10.1007/BF01097660

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