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Generalization of the Internal Approximation Method for the Simultaneous Stabilization Problem

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Abstract

We develop the internal approximation method for constructing algorithms that allow one to seek stability sets for finite families of homogeneous affine polynomials. Under certain assumptions, the complex problem of synthesis of a simultaneously stabilizing controller for a given finite family of linear stationary dynamic plants can be reduced to such a problem.

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References

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Authors and Affiliations

  1. Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, 310018, China

    A. V. Il’in & A. S. Fursov

  2. Lomonosov Moscow State University, Moscow, 119991, Russia

    A. V. Il’in, A. S. Fursov & A. V. Maltseva

  3. Center of Information Technologies in Design of the Russian Academy of Sciences, Moscow oblast, Odintsovo, 143003, Russia

    A. V. Il’in

  4. Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences, Moscow, 117997, Russia

    A. S. Fursov

  5. Bauman Moscow State Technical University, Moscow, 105005, Russia

    A. S. Fursov

  6. Kharkevich Institute for Information Transmission Problems of the Russian Academy of Sciences, Moscow, 127051, Russia

    A. S. Fursov

Authors
  1. A. V. Il’in
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  2. A. S. Fursov
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  3. A. V. Maltseva
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Corresponding author

Correspondence to A. V. Il’in.

Additional information

Original Russian Text © A.V. Il’in, A.S. Fursov, A.V. Maltseva, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 12, pp. 1710–1713.

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Il’in, A.V., Fursov, A.S. & Maltseva, A.V. Generalization of the Internal Approximation Method for the Simultaneous Stabilization Problem. Diff Equat 54, 1669–1673 (2018). https://doi.org/10.1134/S0012266118120121

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  • DOI: https://doi.org/10.1134/S0012266118120121

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