RUS  ENG
Full version
JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova

Trudy Mat. Inst. Steklova, 2021, Volume 315, Pages 271–283 (Mi tm4218)

Connecting a Third-Order Singular Arc with Nonsingular Arcs of Optimal Control in a Minimization Problem for a Psoriasis Treatment Model
E. N. Khailov, E. V. Grigorieva

References

1. Bonnans F., Martinon P., Giorgi D., Grélard V., Maindrault S., Tissot O., Liu J., BOCOP 2.0.5 – User guide, E-print, 2017
2. Gabasov R., Kirillova F.M., Osobye optimalnye upravleniya, Librokom, M., 2013
3. Grigorieva E., Khailov E., “Optimal strategies for psoriasis treatment”, Math. Comput. Appl., 23:3 (2018), 45  mathscinet
4. Grigorieva E.V., Khailov E.N., “Singular and non-singular optimal strategies for psoriasis control model”, Pure Appl. Funct. Anal., 4:2 (2019), 219–246  mathscinet
5. Grigorieva E., Khailov E., “Chattering and its approximation in control of psoriasis treatment”, Discrete Contin. Dyn. Syst. Ser. B, 24:5 (2019), 2251–2280  mathscinet
6. E. N. Khailov and E. V. Grigorieva, “On a third-order singular arc of optimal control in a minimization problem for a mathematical model of psoriasis treatment”, Proc. Steklov Inst. Math., 304 (2019), 281–291  mathnet  crossref  mathscinet
7. E. B. Lee and L. Markus, Foundations of Optimal Control Theory, J. Wiley & Sons, New York, 1967
8. L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The Mathematical Theory of Optimal Processes, Pergamon, Oxford, 1964
9. M. I. Zelikin and V. F. Borisov, “Regimes with increasingly more frequent switchings in optimal control problems”, Proc. Steklov Inst. Math., 197 (1993), 95–186  mathnet
10. Zelikin M.I., Borisov V.F., Theory of chattering control with applications to astronautics, robotics, economics, and engineering, Birkhäuser, Boston, 1994


© Steklov Math. Inst. of RAS, 2026