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Graphical and algebraic forms of Kharitonov’s robust criterion

  • Robust and Adaptive Systems
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Abstract

We show the graphical and algebraic counterparts of Kharitonov’s theorem constructed on the foundation of the robust Nyquist criterion. The graphical counterpart is different from Tsypkin-Polyak hodograph.

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References

  1. Polyak, B.T. and Tsypkin, Ya.Z., Frequency Criteria of Robust Stability and Aperiodicity of Linear Systems, Autom. Remote Control, 1990, vol. 51, no. 9, part 1, pp. 1192–1200.

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  2. Polyak, B.T. and Tsypkin, Ya.Z., Robust Nyquist Criterion, Autom. Remote Control, 1992, vol. 53, no. 7, part 1, pp. 25–31.

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  3. Polyak, B.T. and Shcherbakov, P.S., Robastnaya ustoichivost’ i upravlenie (Robust Stability and Control), Moscow: Nauka, 2002.

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  4. Kharitonov, V.L., Asymptotic Stability for a Family of Systems of Linear Differential Equations, Differ. Uravn., 1978, vol. 1, no. 11, pp. 2086–2088.

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Authors and Affiliations

  1. Moscow Institute of Electronics and Mathematics of the National Research University Higher School of Economics, Moscow, Russia

    M. G. Zotov

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  1. M. G. Zotov
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Correspondence to M. G. Zotov.

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Original Russian Text © M.G. Zotov, 2015, published in Avtomatika i Telemekhanika, 2015, No. 2, pp. 61–72.

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Zotov, M.G. Graphical and algebraic forms of Kharitonov’s robust criterion. Autom Remote Control 76, 241–250 (2015). https://doi.org/10.1134/S0005117915020046

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  • DOI: https://doi.org/10.1134/S0005117915020046

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