4 citations · 14 across the 6 of their papers we have counts for
7 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…
On the stability of cycles by delayed feedback control
D. Dmitrishin, P. Hagelstein, A. Khamitova +1
We present a delayed feedback control (DFC) mechanism for stabilizing cycles of one dimensional discrete time systems. In particular, we consider a delayed feedback control for sta…
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…
On the generalized linear and non-linear DFC in non-linear dynamics
Dmitriy Dmitrishin, Anna Khamitova, Alex Stokolos
The article is devoted to investigation of robust stability of the generalized linear control of the discrete autonomous dynamical systems. Sharp necessary conditions on the size o…
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.
Extremal trigonometric polynomials and the problem of optimal stabilization of chaos
D. V. Dmitrishin, A. D. Khamitova
The paper contains an example of harmonic analysis applications to the problem of chaos stabilization by the DFC methods