Skip to main content
SpringerLink
Log in

The lie saturate and its applications to singular control problems

  • III-Optimal Control
  • Conference paper
  • First Online:
New Trends in Nonlinear Control Theory

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 122))

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. B.D.O Anderson and D.J. Clements, “Singular Optimal Control: The linear-quadratic problem”, Lecture Notes in Control and Information Sciences No. 5, springer-Verlag.

    Google Scholar 

  2. D.J. Bell and D.H. Jacobson, Singular optimal control problems, Academic Press 1975.

    Google Scholar 

  3. G.H. Hardy, J.E. Littlewood, G. Polya, Inequalities, Cambridge Press (1934).

    Google Scholar 

  4. M.L.I. Hautus and L.M. Silverman, “Systems Structure and singular control”, Linear Algebra and Its Applications 50 (1983), 369–402.

    Google Scholar 

  5. V. Jurdjevic and I. Kupka, “Polynomial Control Systems”, Math. Ann. 272 (1986), 361–368.

    Google Scholar 

  6. V. Jurdjevic and I. Kupka, “Linear systems with Singular Quadratic Cost”, to appear.

    Google Scholar 

  7. J. Kogan, “Bifurcation of Extremals in optimal control”, Lecture Notes in Mathematics, No. 1216, Springer-Verlag 1986.

    Google Scholar 

  8. A. Krener, “The High Order Maximum Principle and its applications to singular extremals”, SIAM Journal on Control and Optim., Vol. 151, No. 2 (1977), 256–292.

    Google Scholar 

  9. A. Kitapcu, L.M. Silverman and J.C. Willems, “Singular Optimal Control: a geometric approach”, SIAM Journal on Control and Opt. 24 (1986), 369–402.

    Google Scholar 

  10. P.V. Kokotović, “Applications of singular perturbations techniques to control problems”, SIAM Review, vol. 26 (1984), 501–550.

    Google Scholar 

  11. R.E. O'Malley, Jr. and A. Jameson, “Singular perturbations and singular arcs”, part II, IEEE Trans. Ant. Control 22 (1977), 328–337.

    Google Scholar 

  12. V.A. Yakubovich, “Optimization and invariance of linear stationary control systems”, Automatika and Telemehanika no. 8 (1984), 5–44.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Toronto, M5S 1A1

    Velimir Jurdjevic

Authors
  1. Velimir Jurdjevic
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

J. Descusse Michel Fliess A. Isidori D. Leborgne

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag

About this paper

Cite this paper

Jurdjevic, V. (1989). The lie saturate and its applications to singular control problems. In: Descusse, J., Fliess, M., Isidori, A., Leborgne, D. (eds) New Trends in Nonlinear Control Theory. Lecture Notes in Control and Information Sciences, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043031

Download citation

  • DOI: https://doi.org/10.1007/BFb0043031

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51075-8

  • Online ISBN: 978-3-540-46143-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation