Skip to main content
Log in

Averaging the controlled motion equations in a metric space

  • Brief Communication
  • Published:
Cybernetics and Systems Analysis Aims and scope

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. A. I. Panasyuk and V. I. Panasyuk, Asymptotic Optimization of Nonlinear Control Systems [in Russian], Izd. BGU, Minsk (1977).

    Google Scholar 

  2. A. I. Panasyuk and V. I. Panasyuk, “An equation generated by a differential inclusion,” Mat. Zametki, 27, No. 3, 429–437 (1980).

    MATH  MathSciNet  Google Scholar 

  3. F. S. De Blasi and F. Iervolino, “Equazioni differentiali con soluzioni a valore compatto conesso,” Boll. Unione Mat. Ital, 2, No. 4–5, 491–501 (1969).

    MATH  Google Scholar 

  4. M. Hukuhara, “Sur l'application measurable dont la valeur est un compact convexe,” Fukc. Ekvacioj, No. 10, 43–66 (1967).

  5. M. Hukuhara, “Integration des applications measurable dont la valeur est un compact convexe,” Fukc. Ekvacioj, No. 10, 205–223 (1967).

    Google Scholar 

  6. A. A. Tolstonogov, “Solutions of the equation of the integral funnel of a differential inclusion,” Diff. Uravn., 20, No. 2, 358–359 (1984).

    MathSciNet  Google Scholar 

  7. A. I. Panasyuk, “Quasi-differential equations in metric spaces,” Diff. Uravn., 21, No. 8, 1344 (1985).

    MathSciNet  Google Scholar 

  8. V. I. Zubov, Stability of Motion [in Russian], Vysshaya Shkola, Moscow (1984).

    Google Scholar 

  9. V. A. Plotnikov, “Averaging method for differential inclusions and its application to optimal control problems,” Diff. Uravn., 15, No. 8, 1427–1433 (1979).

    MATH  MathSciNet  Google Scholar 

  10. V. A. Plotnikov, Asymptotic Methods in Optimal Control Problems [in Russian], OGU, Odessa (1976).

    Google Scholar 

  11. V. A. Plotnikov, Averaging Method in Control Problems [in Russian], Lybid', Kiev-Odessa (1992).

    Google Scholar 

  12. A. V. Plotnikov, “Averaging of controlled motion equations with multivalued paths,” Ukr. Matem. Zh., 39, No. 5, 657–659 (1987).

    MathSciNet  Google Scholar 

  13. A. V. Plotnikov, “Averaging of differential inclusions with Hukuhara derivative,” Ukr. Matem. Zh., 41, No. 1, 121–125 (1989).

    MathSciNet  Google Scholar 

Download references

Authors

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 175–180, July–August, 1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Plotnikov, V.A., Plotnikova, L.I. Averaging the controlled motion equations in a metric space. Cybern Syst Anal 33, 601–606 (1997). https://doi.org/10.1007/BF02733119

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02733119

Keywords

Navigation