4 citations · 6 across the 3 of their papers we have counts for
4 papers
Fejer Polynomials and Control of Nonlinear Discrete Systems
Dmitriy Dmitrishin, Paul Hagelstein, Anna Khamitova +2
We consider optimization problems associated to a delayed feedback control (DFC) mechanism for stabilizing cycles of one dimensional discrete time systems. In particular, we consid…
A numerical point of view at the Gurov-Reshetnyak inequality on the real line
Victor D. Didenko, Anatolii A. Korenovskyi, Nor Jaidi Tuah
A "norm" of power function in the Gurov-Reshetnyak class on the real line is computed. Moreover, a lower bound for the norm of the operator of even extension from the semi-axis to…
Fejer and Suffridge polynomials in the delayed feedback control theory
Dmitriy Dmitrishin, Anna Khamitova, Anatolii Korenovskyi +1
A remarkable connection between optimal delayed feedback control (DFC) and complex polynomial mappings of the unit disc is established. The explicit form of extremal polynomials tu…
Optimal stabilization of a cycle in nonlinear discrete systems
D. Dmitrishin, A. Khamitova, A. Korenovskyi +1
A method of stabilizing 2-cycles in discrete dynamic systems by Delayed Feedback Control is developed by using classic Harmonic Analysis.