Skip to main content
SpringerLink
Log in

Control over a linear system up to a given Lyapunov function

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We obtain control conditions for a linear system whose Lyapunov functions satisfy certain conditions.

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

Similar content being viewed by others

References

  1. N. N. Krasovskii, Theory of Motion Control [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  2. N. N. Krasovskii, “On stabilization of dynamical systems by additional forces,” Differents. Uravn., 1, No. 1, 5–16 (1965).

    MathSciNet  Google Scholar 

  3. W. M. Wonhham, “On pole assignment in multi-input controllable systems,” IEEE Trans. Automat. Contr., AG-12, No. 6, 660–665 (1967).

    Article  Google Scholar 

  4. V. V. Novitskii, Decomposition and Control in Linear Systems [in Ukrainian], Vol. 11, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1995).

    Google Scholar 

  5. E. A. Barbashin, Lyapunov Functions [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  6. Yu. A. Mitropol’skii, A. M. Samoilenko, and V. L. Kulik, Investigation of the Dichotomy of Linear Systems of Differential Equations with the Use of Lyapunov Functions [in Russian], Naukova Dumka, Kiev (1990).

    Google Scholar 

  7. V. M. Kuntsevich and M. M. Lychak, Synthesis of Systems of Automatic Control with the Use of Lyapunov Functions [in Russian], Nauka, Moscow (1977).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Shevchenko National University, Kiev

    D. Ya. Khusainov & A. T. Kozhametov

Authors
  1. D. Ya. Khusainov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. T. Kozhametov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 10, pp. 1409–1415, October, 1998.

This work was supported by MNPP (grant No. QSU 081217).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khusainov, D.Y., Kozhametov, A.T. Control over a linear system up to a given Lyapunov function. Ukr Math J 50, 1611–1618 (1998). https://doi.org/10.1007/BF02513492

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02513492

Keywords

Search

Navigation