Skip to main content
Log in

Optimal robust linear-quadratic stabilization

  • Short Communications
  • 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

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

Instant access to the full article PDF.

References

  1. Kwakernaak, H. and Sivan, R., Linear Optimal Control Systems, New York: Wiley, 1972. Translated under the title Lineinye optimal’nye sistemy upravleniya, Moscow: Mir, 1977.

    MATH  Google Scholar 

  2. Petersen, I.R. and McFarlane, D.C., IEEE Trans. Autom. Control, 1994, vol. 39, pp. 1971–1977.

    Article  MATH  MathSciNet  Google Scholar 

  3. Kogan, M.M., Differ. Uravn., 1999, vol. 35, no. 5, pp. 638–642.

    MathSciNet  Google Scholar 

  4. Balandin, D.V. and Kogan, M.M., Sintez zakonov upravleniya na osnove lineinykh matrichnykh neravenstv (Synthesis of Control Laws on the Basis of Linear Matrix Inequalities), Moscow: Fizmatlit, 2007.

    Google Scholar 

  5. Gelig, A.Kh., Leonov, G.A., and Yakubovich, V.A., Ustoichivost’ nelineinykh sistem s needinstvennym sostoyaniem ravnovesiya (The Stability of Nonlinear Systems with a Nonunique Equilibrium State), Moscow: Nauka, 1978.

    Google Scholar 

  6. Gahinet, P., Nemirovski, A., Laub, A.J., and Chilali, M., The LMI Control Toolbox. For Use with Matlab. User’s Guide, Natick, MA: The MathWorks, Inc., 1995.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © D.V. Balandin, M.M. Kogan, 2007, published in Differentsial’nye Uravneniya, 2007, Vol. 43, No. 11, pp. 1570–1573.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Balandin, D.V., Kogan, M.M. Optimal robust linear-quadratic stabilization. Diff Equat 43, 1611–1615 (2007). https://doi.org/10.1134/S001226610711016X

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S001226610711016X

Keywords

Navigation