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Modernization of one criterion for absolute stability

  • Determinate Systems
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Abstract

A new form of a partial frequency criterion of absolute stability for nonlinear automatic control systems is obtained basing on a quadratic transformation of the state vector. As is shown, the obtained criterion is stronger than V.M. Popov’s one. An alternative formulation of the criterion is given in terms excluding the notions of quadratic transformation.

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References

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Authors and Affiliations

  1. Institute for System Analysis, Russian Academy of Sciences, Moscow, Russia

    A. I. Barkin

  2. ZAO “Informatsionnye Tekhnologii,”, Moscow, Russia

    D. N. Rokin

Authors
  1. A. I. Barkin
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  2. D. N. Rokin
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Additional information

Original Russian Text © A.I. Barkin, D.N. Rokin, 2008, published in Avtomatika i Telemekhanika, 2008, No. 5, pp. 15–24.

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Barkin, A.I., Rokin, D.N. Modernization of one criterion for absolute stability. Autom Remote Control 69, 748–757 (2008). https://doi.org/10.1134/S0005117908050020

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  • DOI: https://doi.org/10.1134/S0005117908050020

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