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Minimization of the least upper bound of the real parts of quasipolynomial roots and the limit stability degree of linear dynamic feedback system

  • Linear Systems
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Abstract

For the class of quasipolynomials that are characteristic for the mathematical models of the industrial control systems, the upper estimate of the degree of stability was established and shown to correspond to the multiple real root of the characteristic system equation; the reachability conditions for this upper estimate were established.

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Authors and Affiliations

  1. Ailamazyan Program System Institute, Russian Academy of Sciences, Pereslavl–Zalesskii, Russia

    A. Yu. Popov & A. M. Tsirlin

  2. Moscow State University, Moscow, Russia

    S. S. Pukhov

Authors
  1. A. Yu. Popov
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  2. S. S. Pukhov
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  3. A. M. Tsirlin
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Correspondence to A. Yu. Popov.

Additional information

Original Russian Text © A.Yu. Popov, S.S. Pukhov, A.M. Tsirlin, 2015, published in Avtomatika i Telemekhanika, 2015, No. 7, pp. 3–25.

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Popov, A.Y., Pukhov, S.S. & Tsirlin, A.M. Minimization of the least upper bound of the real parts of quasipolynomial roots and the limit stability degree of linear dynamic feedback system. Autom Remote Control 76, 1137–1155 (2015). https://doi.org/10.1134/S0005117915070012

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  • DOI: https://doi.org/10.1134/S0005117915070012

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