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Robust stability of differential-algebraic equations with an arbitrary unsolvability index

  • Nonlinear Systems
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Abstract

Consideration was given to the linear stationary systems of differential-algebraic equations with an arbitrarily high unsolvability index. Conditions were established guaranteeing the internal structure of the system at hand against the internal structural modifications caused by the perturbations of the matrix coefficients. Under the assumptions of structural persistence, the sufficient conditions for robust stability were obtained, and the values of real stability radii were given.

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Authors and Affiliations

  1. Matrosov Institute for System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, Irkutsk, Russia

    A. A. Shcheglova & A. D. Kononov

Authors
  1. A. A. Shcheglova
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  2. A. D. Kononov
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Correspondence to A. A. Shcheglova.

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Original Russian Text © A.A. Shcheglova, A.D. Kononov, 2017, published in Avtomatika i Telemekhanika, 2017, No. 5, pp. 36–55.

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Shcheglova, A.A., Kononov, A.D. Robust stability of differential-algebraic equations with an arbitrary unsolvability index. Autom Remote Control 78, 798–814 (2017). https://doi.org/10.1134/S0005117917050034

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  • DOI: https://doi.org/10.1134/S0005117917050034

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