14 citations · 43 across the 23 of their papers we have counts for
7 papers · 1 filter
Search for Invariant Sets of the Generalized Tent Map
Kimberly Ayers, Dmitry Dmitrishin, Ami Radunskaya +2
This paper describes a predictive control method to search for unstable periodic orbits of the generalized tent map. The invariant set containing periodic orbits is a repelling set…
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…
Finding, Stabilizing, and Verifying Cycles of Nonlinear Dynamical Systems
D. Dmitrishin, I. E. Iacob, I. Skrinnik +1
We present a new solution for fundamental problems in nonlinear dynamical systems: finding, verifying, and stabilizing cycles. The solution we propose consists of a new control met…
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.