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Estimates of stability of desynchronized systems

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Ukrainian Mathematical Journal Aims and scope

Abstract

Linear difference systems with lag are considered. The sufficient conditions of stability are established and exponential decay coefficients for solutions are derived. The second Lyapunov method with Razumikhin's condition is used.

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References

  1. A. F. Kleptsyn, V. S. Kozyakin, M. A. Krasnosel'skii, and N. A. Kuznetsov, “On the influence of small desynchronization on the stability of complex systems I, II,” [in Russian],Avtom. Telemekh., No. 7, 44–50 (1983), No. 3, 42–47 (1984).

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  2. A. F. Kleptsyn, V. S. Kozyakin, M. A. Rrasnosel'skii, and N. A. Kuznetsov, “Stability of desynchronized systems,”Dokl. Akad. Nauk SSSR,247, No. 5, 1053–1056 (1984).

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  3. B. S. Razumikhin,Stability of Ereditar Systems [in Russian], Leningrad University, Leningrad (1991).

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  4. A. V. Prasolov,Mathematical Models of Control [in Russian], Leningrad University, Leningrad (1991).

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Authors and Affiliations

  1. Kiev University, Kiev

    O. I. Stadnik & D. Ya. Khusainov

Authors
  1. O. I. Stadnik
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  2. D. Ya. Khusainov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 1, pp. 148–152, January, 1993.

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Stadnik, O.I., Khusainov, D.Y. Estimates of stability of desynchronized systems. Ukr Math J 45, 165–170 (1993). https://doi.org/10.1007/BF01062053

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  • DOI: https://doi.org/10.1007/BF01062053

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