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Asymptotic Stability Conditions and Estimates of Solutions for Nonlinear Multiconnected Time-Delay Systems

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Abstract

This paper examines certain classes of multiconnected (complex) systems with time-varying delay. Delay-independent stability conditions and estimates of the convergence rate of solutions to the origin for those systems are derived. It is shown that the exponents in the obtained estimates depend on the parameters of Lyapunov functions constructed for the corresponding isolated subsystems. The problem of computing parameter values that provide the most precise estimates is investigated. Some examples are presented to demonstrate the effectiveness of the proposed approaches.

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Authors and Affiliations

  1. Saint Petersburg State University, 7/9 Universitetskaya Nab., St. Petersburg, Russia, 199034

    Alexander Aleksandrov, Elena Aleksandrova & Alexey Zhabko

Authors
  1. Alexander Aleksandrov
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  2. Elena Aleksandrova
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  3. Alexey Zhabko
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Corresponding author

Correspondence to Elena Aleksandrova.

Additional information

The research was supported by the Saint Petersburg State University (Project No. 9.37.157.2014), and by the Russian Foundation for Basic Research (Grant No. 15-58-53017).

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Aleksandrov, A., Aleksandrova, E. & Zhabko, A. Asymptotic Stability Conditions and Estimates of Solutions for Nonlinear Multiconnected Time-Delay Systems. Circuits Syst Signal Process 35, 3531–3554 (2016). https://doi.org/10.1007/s00034-015-0227-x

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