Bifurcation Analysis of Discrete-Time Systems with Multiple Time-Delays

DOI

10.2991/ecae-17.2018.15How to use a DOI?

Keywords

discrete-time systems; harmonic balance approach; neimark-sacker bifurcation; flip bifurcation

Abstract

A unified frequency-domain approach to analyze Neimark-Sacker bifurcations and flip bifurcations of discrete-time systems with multiple time-delays in the linear feed-forward and the nonlinear term is presented. The technique relies on the harmonic balance approach (HBA) and feedback systems theory. The expressions of the bifurcation solution and the stability are derived. One example is used to verify the result obtained.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Li Zeng
PY  - 2017/12
DA  - 2017/12
TI  - Bifurcation Analysis of Discrete-Time Systems with Multiple Time-Delays
BT  - Proceedings of the 2017 2nd International Conference on Electrical, Control and Automation Engineering (ECAE 2017)
PB  - Atlantis Press
SP  - 72
EP  - 76
SN  - 2352-5401
UR  - https://doi.org/10.2991/ecae-17.2018.15
DO  - 10.2991/ecae-17.2018.15
ID  - Zeng2017/12
ER  -