Document Type
Preprint
Publication Date
7-12-2015
Publication Title
arXiv Repository
Abstract
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 of the set of multipliers that guaranty robust stabilization of the equilibrium of the system are provided. Surprisingly enough it turns out that the generalized linear delayed feedback control has same limitation as the classical Pyragas DFC. This generalized Ushio 1996 DFC limitation statement. Note that in scalar case a generalized non-linear control can robustly stabilize an equilibrium for any admissible range of multipliers. In the current article similar result is obtained in the vector-valued setting.
Recommended Citation
Dmitrishin, Dmitriy, Anna Khamitova, Alexander M. Stokolos.
2015.
"On the Generalized Linear and Non-Linear DFC in Non-Linear Dynamics."
arXiv Repository: 1-19.
source: https://arxiv.org/abs/1407.6488
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/669
Comments
This version of the paper was obtained from arXIV.org. In order for the work to be deposited in arXIV.org, the authors must hold the rights or the work must be under Creative Commons Attribution license, Creative Commons Attribution-Noncommercial-ShareAlike license, or Create Commons Public Domain Declaration.