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Cyclic solutions in dynamical systems generated by local variational problems with objective-function singularities

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Abstract

The article considers cyclic systems generated by local variational problems with various singularities in the objective function. Conditions for the creation of cyclic solutions are examined.

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References

  1. A. P. Afanas'ev, “Bilinear antisymmetric form in optimal control problem,” in:Applications of Matrix Theory, Clarendon Press, Oxford (1989), pp. 127–136.

    Google Scholar 

  2. A. P. Afanas'ev, “Generalized isoperimetric problem on a polyhedron”,Diff. Uravn.,29, No. 11, 1856–1867 (1993).

    MATH  MathSciNet  Google Scholar 

  3. A. P. Afanas'ev, “A class of local variational problems with arbitrary singularity in the objective function,”Dokl. RAN,341, No. 4, 460–462 (1995).

    MATH  MathSciNet  Google Scholar 

  4. A. P. Afanas'ev, “Isoperimetric problem with a polylinear integrand on a polyhedron,”Computational Mathematics and Modeling,3, No. 4, 416–419 (1992).

    MathSciNet  Google Scholar 

  5. A. T. Fuller, “Optimization of relay control systems with respect to different qualitative criteria,” in:Proc. First IFAC Congress, (1961), pp. 584–605.

  6. S. V. Chukanov and A. A. Milyutin, “Qualitative study of singularities for extremals of quadratic optimal control problem,”Russ. J. Math. Phys.,2, No. 1, 31–48 (1994).

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Authors
  1. A. P. Afanas'ev
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Additional information

Translated from Nelineinaya Dinamika i Upravlenie, pp. 7–14, 1999.

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Afanas'ev, A.P. Cyclic solutions in dynamical systems generated by local variational problems with objective-function singularities. Comput Math Model 11, 97–102 (2000). https://doi.org/10.1007/BF02359176

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  • DOI: https://doi.org/10.1007/BF02359176

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