Skip to main content
Log in

Some classification problems for control systems and the similarity problem for sets of square matrices

  • Ordinary Differential Equations
  • 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. Belozerov, V.E. and Osetinskii, N.I., Teoriya slozhnykh sistem i metody ikh modelirovaniya (Theory of Complicated Systems and Modelling Methods), Moscow, 1984, pp. 18–25.

  2. Vainstein, F.S. and Osetinskii, N.I., Itogi Nauki i Tekhniki. Sovr. Matematika i Ee Prilozheniya. Tematicheskie Obzory, 1995, vol. 29, pp. 101–120.

    Google Scholar 

  3. Hinrichsen, D. and Prätzel-Wolters, D., Contemporary Mathematics, 1985, vol. 47, pp. 217–239.

    Google Scholar 

  4. Hinrichsen, D. and Prätzel-Wolters, D., Linear Algebra and Its Applications, 1987, vol. 91, pp. 143–175.

    Google Scholar 

  5. Procesi, C., Adv. Math., 1976, vol. 19, no. 3, pp. 306–381.

    Google Scholar 

  6. Friedland, S., Adv. Math., 1983, vol. 50, no. 3, pp. 189–266.

    Google Scholar 

  7. Sibirskii, K.S., Algebraicheskie invarianty differentsial’nykh uravnenii i matrits (Algebraic Invariants of Differential Equations and Matrices), Kishinev, 1976.

  8. Sibirskii, K.S., Vvedenie v algebraicheskuyu teoriyu invariantov differentsial’nykh uravnenii (Introduction to the Algebraic Theory of Invariants of Differential Equations), Kishinev, 1982.

  9. Hazewinkel, M. and Kalman, R.E., Lect. Notes Econ. and Math. Syst. Theory, 1976, vol. 131, pp. 48–60.

    Google Scholar 

  10. Tannenbaum, A., Linear Algebra and Its Applications, 1983, vol. 50, pp. 527–544.

    Google Scholar 

  11. Vainstein, F.S. and Osetinskii, N.I., Differents. Uravn., 1995, vol. 31, no. 11, pp. 1771–1779.

    Google Scholar 

  12. Tannenbaum, A., Lect. Notes Math., 1981, no. 845.

  13. Osetinskii, N.I., Itogi Nauki i Tekhniki. Sovr. Matematika i Ee Prilozheniya. Tematicheskie Obzory, 1995, vol. 29, pp. 5–99.

    Google Scholar 

  14. Ravi, M.S., Rosenthal, J., and Helmke, U., Linear Algebra and Its Applications, 2002, vol. 351–352, pp. 623–637.

    Google Scholar 

  15. Gantmakher, F.R., Teoriya matrits (Theory of Matrices), Moscow, 1966.

  16. Vinberg, E.B. and Popov, V.L., Itogi Nauki i Tekhniki. Sovr. Problemy Matematiki. Fund. Napravleniya, 1989, vol. 55, pp. 137–314.

    Google Scholar 

  17. Kraft, H., Geometrische Methoden in der Invariantentheorie, Braunschweig, 1984. Translated under the title Geometricheskie metody v teorii invariantov, Moscow, 1987.

  18. Sussmann, H.F., J. Franklin Inst., 1976, vol. 301, no. 6, pp. 593–604.

    Google Scholar 

  19. Sontag, E., Systems and Control Letters, 1987, vol. 9, pp. 361–368.

    Google Scholar 

  20. Helmke, U., Habilitationsschrift, Regensburg Univ., 1990.

  21. Newstead, P.E., Introduction to Moduli Problems and Orbit Spaces, Berlin, 1978.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Differentsial’nye Uravneniya, Vol. 40, No. 11, 2004, pp. 1479–1485. Original Russian Text Copyright © 2004 by Vainstein, Osetinskii.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vainstein, F.S., Osetinskii, N.I. Some classification problems for control systems and the similarity problem for sets of square matrices. Diff Equat 40, 1557–1564 (2004). https://doi.org/10.1007/PL00021824

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/PL00021824

Keywords

Navigation