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

A. P. Afanas'ev, “Bilinear antisymmetric form in optimal control problem,” in:Applications of Matrix Theory, Clarendon Press, Oxford (1989), pp. 127–136. A. P. Afanas'ev, “Generalized isoperimetric problem on a polyhedron”,Diff. Uravn.,29, No. 11, 1856–1867 (1993). 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). A. P. Afanas'ev, “Isoperimetric problem with a polylinear integrand on a polyhedron,”Computational Mathematics and Modeling,3, No. 4, 416–419 (1992). A. T. Fuller, “Optimization of relay control systems with respect to different qualitative criteria,” in:Proc. First IFAC Congress, (1961), pp. 584–605. 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).