Skip to main content
SpringerLink
Log in

Vector Lyapunov functions method for difference-differential systems and its applications to immunology

  • Conference paper
  • First Online:
Book cover System Modelling and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 84))

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature

  1. Krassovskii N.N. Some problems of the theory of stability. M., Physmathgiz., 1959.

    Google Scholar 

  2. Razumikhin B.S. On stability of systems with delay.— PMM., 1956, 20, N 4, p.500–512.

    Google Scholar 

  3. Mishkiss A.D., Shimanov S.N., Els'gol'ts L.E, Stability and vibrations of systems with delay. Proceedings of the international symposium on nonlinear vibrations., P., 1963, p.242–267.

    Google Scholar 

  4. Kolmanovskii V.B.,Nosov V.R. Stability and periodic solutions of controlled systems with aftereffects.—Moscow, Nauka, 1981.

    Google Scholar 

  5. Hale Y.K. Functional differential equation. N.Y.Springer, 1971.

    Google Scholar 

  6. Matrosov V.M. To the theory of stability of motion. PMM, 1962, XXVI, issue 6.

    Google Scholar 

  7. Gromova P.S. Vector Lyapunov functions method for systems with deviating argument. In book: Direct method in the theory of stability. M., Science, 1981, p.46–54.

    Google Scholar 

  8. Matrosov V.M., Karatueva N.A. Vector Lyapunov functions method and its applications to immunology. In:Mathematical modelling in immunology and medicine.,North-Holland, 1983, pp.175–186.

    Google Scholar 

  9. Vachonina G.S.,Kozlov R.I., Malikov A.I. Algorithms of investigation of nonlinear controlled systems by vector Lyapunov functions method.—In book:Theory of stability and its applications.Novosibirsk, Nauka, 1979,p.14–24.

    Google Scholar 

  10. Marchuk G.I. Mathematical models in immunology. M.,Science, 1980.

    Google Scholar 

  11. Marchuk G.I.,Petrov R.V. Virose organ infection and immune-physiological reactions of immunology.

    Google Scholar 

  12. Zemlyakov A.S. To problem of comparison system construction. Proceedings of KAI. Issue 4., Kazan, 1972.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Irkutsk Computer Center of the Siberian Branch of the USSR Academy of Sciences, USSR

    N. A. Karatueva & V. M. Matrosov

Authors
  1. N. A. Karatueva
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. M. Matrosov
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

A. Prékopa J. Szelezsáan B. Strazicky

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Karatueva, N.A., Matrosov, V.M. (1986). Vector Lyapunov functions method for difference-differential systems and its applications to immunology. In: Prékopa, A., Szelezsáan, J., Strazicky, B. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043860

Download citation

  • DOI: https://doi.org/10.1007/BFb0043860

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16854-6

  • Online ISBN: 978-3-540-47138-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation