Skip to main content
SpringerLink
Log in

On the Stability of Motion of a Large-Scale System

  • Published:
Differential Equations Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

REFERENCES

  1. Abdullin, R.Z., Anapol'skii, L.Yu., Voronov, A.A., et al., Metod vektornykh funktsii Lyapunova v teorii ustoichivosti (The Method of Lyapunov Vector Functions in Stability Theory), Moscow, 1987.

  2. Gruiich, L.T., Martynyuk, A.A., and Ribbens-Pavella, M., Ustoichivost' krupno-masshtabnykh sistem pri strukturnykh i singulyarnykh vozmushcheniyakh (Stability of Large-Scale Systems Under Structural and Singular Perturbations), Kiev, 1984.

  3. Lakshmikantham, V., Matrosov, V.M. and Sivasundaram, S., Vector Lyapunov Function and Stability Analysis of Nonlinear Systems, Dordrecht, etc., 1991.

  4. Martynyuk, A.A., Stability by Liapunov Matrix Functions Method with Applications, New York, etc., 1998.

  5. Michel, A.N. and Miller, R.K., Qualitative Analysis of Large Scale Dynamical Systems, New York, 1977.

  6. Siljak, D.D., Large-Scale Dynamic Systems: Stability and Structure, New York, 1978.

  7. Martynyuk, A.A. and Slyn'ko, V.I., Prikl. Mekhanika, 2001, vol. 37, no. 8, pp. 125–130.

    Google Scholar 

  8. Martynyuk, A.A. and Slyn'ko, V.I., Nonlinear Dynamics and Systems Theory, 2001, no. 1, pp. 193–204.

  9. Martynyuk, A.A. and Krapivnyi, Yu.N., Prikl. Mekhanika, 1988, vol. 24, no. 6, pp. 98–107.

    Google Scholar 

  10. Djordjević, M.Z., Systems and Control Letters, 1983, vol. 3, pp. 165–169.

    Google Scholar 

  11. Martynyuk, A.A., Dokl. RAN, 1992, vol. 324, no. 1, pp. 39–41.

    Google Scholar 

  12. Martynyuk, A.A., Dokl. Akad. Nauk SSSR, 1991, vol. 318, no. 4, pp. 808–811.

    Google Scholar 

  13. Rumyantsev, V.V. and Oziraner, A.S., Ustoichivost' i stabilizatsiya dvizheniya po otnosheniyu k chasti peremennykh (Stability and Stabilization of Motion with Respect to Part of Variables), Moscow, 1987.

Download references

Author information

Authors and Affiliations

  1. National Academy of Sciences, Institute for Mechanics, Kiev, Ukraine

    A. A. Martynyuk & V. I. Slyn'ko

Authors
  1. A. A. Martynyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. I. Slyn'ko
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Martynyuk, A.A., Slyn'ko, V.I. On the Stability of Motion of a Large-Scale System. Differential Equations 39, 791–796 (2003). https://doi.org/10.1023/B:DIEQ.0000008406.55622.4c

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:DIEQ.0000008406.55622.4c

Keywords

Search

Navigation