Skip to main content
SpringerLink
Log in

Sufficient Conditions for the Practical and Technical Stability of Quasilinear Impulsive Systems

  • Published:
International Applied Mechanics Aims and scope

Abstract

New sufficient conditions for the practical and technical stability of a quasilinear impulsive system are established and illustrated by a numerical example

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. A. I. Dvirnyi and V. I. Slyn’ko, “Stability of linear impulsive systems with respect to a cone,” Dop. NAN Ukrainy, No. 4, 42–48 (2004).

  2. V. Lakshmikantham, S. Leela, and A. A. Martynyuk, Stability of Motion: Comparison Method [in Russian], Naukova Dumka, Kiev (1991).

    Google Scholar 

  3. A. A. Martynyuk, Technical Stability in Dynamics [in Russian], Tekhnika, Kiev (1973).

    Google Scholar 

  4. A. A. Martynyuk, Practical Stability of Motion [in Russian], Naukova Dumka, Kiev (1983).

    Google Scholar 

  5. A. I. Dvirnyi and V. I. Slyn’ko, “Stability criteria for quasilinear impulsive systems,” Int. Appl. Mech., 40, No.5, 592–599 (2004).

    Article  Google Scholar 

  6. A. A. Martynyuk, “Some results of developing classical and modern theories of stability of motion,” Int. Appl. Mech., 37, No.9, 1142–1157 (2001).

    Article  Google Scholar 

  7. A. A. Martynyuk and V. I. Slyn’ko, “Stability of a nonlinear impulsive system,” Int. Appl. Mech., 40, No.2, 231–239 (2004).

    Article  Google Scholar 

  8. A. A. Martynyuk and L. N. Chernetskaya, “A note on the theory of stability of impulsive systems with structural perturbations,” Int. Appl. Mech., 39, No.3, 350–355 (2003).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    A. I. Dvirnyi

Authors
  1. A. I. Dvirnyi
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Prikladnaya Mekhanika, Vol. 41, No. 1, pp. 135–142, January 2005.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dvirnyi, A.I. Sufficient Conditions for the Practical and Technical Stability of Quasilinear Impulsive Systems. Int Appl Mech 41, 104–110 (2005). https://doi.org/10.1007/s10778-005-0065-9

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10778-005-0065-9

Keywords

Search

Navigation