OPTIMAL SEARCH FOR NONLINEAR DISCRETE SYSTEMS CYCLES

TitleOPTIMAL SEARCH FOR NONLINEAR DISCRETE SYSTEMS CYCLES
Publication TypeJournal Article
Year of Publication2018
AuthorsDMITRISHIN, DMITRIY, FRANZHEVA, ELENA, IACOB, IONUTE, STOKOLOS, ALEX
Volume22
Issue4
Start Page663
Pagination32
Date Published11/2018
ISSN1083-2564
AMS93C10, 93C55
Abstract

We consider a classical problem of stabilization of a priori unknown unstable periodic orbits in nonlinear autonomous discrete dynamical systems. A new approach was suggested in [11], where a nonlinear delay feedback control (DFC) scheme with apparently optimal gain was introduced. The optimality criteria in [11] were stated in terms of the size of the convergence region for the system multipliers. In numerical simulations it turns out that the optimal coefficients (in the above sense) produce slowly convergent recurrences. In this paper we suggest a generalization of the formulas from [11] to improve the rate of convergence while preserving stability. The subtlety of the problem is illustrated in numerous numerical simulations examples.

URLhttps://acadsol.eu/en/articles/22/4/11.pdf
DOI10.12732/caa.v22i4.11
Refereed DesignationDoes Not Apply