Skip to main content
SpringerLink
Log in

Transformation of multidimensional affine controlled dynamic systems

  • Methods of Analysis and Modeling of Nonlinear Dynamic Systems
  • Published:
Computational Mathematics and Modeling Aims and scope Submit manuscript

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

References

  1. A. A. Zhevnin and A. P. Krishchenko, "Controllability of nonlinear systems and synthesis of control algorithms," Dokl. Akad. Nauk SSSR,258, No. 4 (1981).

  2. A. A. Zhevnin, A. P. Krishchenko, and Yu. I. Glushko, "Controllability, observability of nonlinear systems and synthesis of terminal control," Dokl. Akad. Nauk SSSR,266, No. 4 (1982).

    Google Scholar 

  3. A. A. Zhevnin, K. S. Kolesnikov, A. P. Krishchenko, et al., "Synthesis of terminal control algorithms using the paradigm of inverse problems of dynamics (a survey)," Izv. Akad. Nauk SSSR, Tekhn. Kibern., No. 4 (1985).

  4. A. P. Krishchenko, "Stabilization of programmed motion of nonlinear systems," Izv. Akad. Nauk SSSR, Tekhn. Kibern., No. 6 (1985).

  5. R. W. Brockett, "Feedback invariants for nonlinear systems," Preprints 7th World Congress IFAC, Vol. 2, Pergamon Press, Oxford (1978).

    Google Scholar 

  6. L. R. Hunt, R. Su, and G. Meyer, "Global transformations of nonlinear systems," IEEE Trans. Autom. Contr.,28, No. 1 (1983).

    Google Scholar 

  7. A. P. Krishchenko, "Optimal control of nonlinear systems," Avtomat. Telemekh., No. 11 (1982).

  8. A. P. Krishchenko, "Analysis of controllability and reachability sets of nonlinear control systems," Avtomat. Telemekh., No. 6 (1984).

  9. A. P. Krishchenko, "Controllability and reachability sets of nonlinear stationary systems," Kibern. Vychisl. Tekhn., No. 62 (1984).

  10. A. P. Krishchenko, "Transformation of nonlinear systems and stabilization of programmed motion," in: Mathematical Modeling of Technical Systems [in Russian], Tr. MVTU, No. 512, Moscow (1988).

    Google Scholar 

  11. A. N. Nazarenko, "Control of output characteristics of nonlinear systems," in: Mathematical Modeling of Technical Systems [in Russian], Tr. MVTU, No. 512, Moscow (1988).

    Google Scholar 

  12. A. M. Kovalev, Nonlinear Control and Observation Problems in Dynamic System Theory [in Russian], Naukova Dumka, Kiev (1980).

    Google Scholar 

  13. V. I. Korobov, "Controllability and stability of some nonlinear systems," Diff. Uravn.,9, No. 4, (1973).

  14. E. E. Ivanova, "Decomposition and factorization of systems linear in control," in: Mathematical Modeling of Technical Systems [in Russian], Tr. MVTU, No. 512, Moscow (1988).

    Google Scholar 

  15. W. M. Wonham, Linear Multivariable Control: A Geometric Approach, Springer, New York (1979).

    Google Scholar 

  16. Yu. N. Andreev, Control of Finite-Dimensional Linear Systems [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  17. R. Marino, "On the largest feedback linearizable subsystem," Syst. Contr. Lett.,6, No. 6, 345–351 (1986).

    Google Scholar 

  18. B. Jakubczyk and W. Respondek, "On linearization of control systems," Bull. Acad. Pol. Sci., Ser. Sci. Math.,28, No. 9–10, 517–522 (1980).

    Google Scholar 

Download references

Authors
  1. A. P. Krishchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Upravlenie Nelineinymi Sistemami, Vsesoyuznyi Nauchno-Issledovatel'skii Institut Sistemnykh Issledovanii, Sbornik Trudov, No. 4, pp. 5–14, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krishchenko, A.P. Transformation of multidimensional affine controlled dynamic systems. Comput Math Model 5, 1–9 (1994). https://doi.org/10.1007/BF01128572

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01128572

Keywords

Search

Navigation