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Stability analysis of large-scale functional differential systems

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Abstract

The present paper is focused on a new method for analysis of stability of solutions of a large-scale functional differential system via matrix-valued Lyapunov-Krasovskii functionals. The stability conditions are based on information about the dynamical behavior of subsystems of the general system and properties of the functions of interconnection between them.

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Authors and Affiliations

  1. Institute of Mechanics, Ukrainian Academy of Sciences, Kiev

    A. A. Martynyuk

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  1. A. A. Martynyuk
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Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 3, pp. 382–394, March, 2007.

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Martynyuk, A.A. Stability analysis of large-scale functional differential systems. Ukr Math J 59, 423–438 (2007). https://doi.org/10.1007/s11253-007-0027-y

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  • DOI: https://doi.org/10.1007/s11253-007-0027-y

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