Skip to main content
Log in

Circular Criteria for Linear Systems

  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

Circular stability and unstability criteria for linear time-varying systems are formulated. They are applicable to verify the stability of linear systems for which the matrix in the right side have eigenvalues with positive real parts at certain specific time instants.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. Nelepin, R.A., Metody issledovaniya nelineinykh sistem avtomaticheskogo upravleniya (Nonlinear Automatic Control Systems: Investigation Methods), Moscow: Nauka, 1975.

    Google Scholar 

  2. Demidovich, B.P., Lektsii po matematicheskoi teorii ustoichivosti (Lectures on Mathematical Theory of Stability), Moscow: Nauka, 1967.

    Google Scholar 

  3. Leonov, G.A., Ponomarenko, D.V., and Smirnova, V.B., Frequency-Domain Methods for Nonlinear Analysis. Theory and Applications, Singapore: World Scientific, 1996.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Leonov, G.A. Circular Criteria for Linear Systems. Automation and Remote Control 62, 896–900 (2001). https://doi.org/10.1023/A:1010241518622

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1010241518622

Keywords

Navigation