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Revisiting the theory of stability of stationary linear large-scale systems

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International Applied Mechanics Aims and scope

Linear autonomous large-scale systems are studied in the context with the generalized transposition of the matrix and the structure of the system. New stability conditions are established with the help of a matrix-valued Lyapunov function

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St., Kyiv, Ukraine, 03057

    A. A. Martynyuk

  2. Andijan State University, 129 Universitetskaya St., Andijan, Uzbekistan, 710000

    R. V. Mullazhonov

Authors
  1. A. A. Martynyuk
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  2. R. V. Mullazhonov
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Corresponding author

Correspondence to A. A. Martynyuk.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 48, No. 1, pp. 121–132, January–February 2012.

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Martynyuk, A.A., Mullazhonov, R.V. Revisiting the theory of stability of stationary linear large-scale systems. Int Appl Mech 48, 101–111 (2012). https://doi.org/10.1007/s10778-012-0509-y

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  • DOI: https://doi.org/10.1007/s10778-012-0509-y

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