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math.DS2018
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…
math.DS2014★ 2 cited
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…
math.DS2013★ 4 cited
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.