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

Li Zeng

PROCEEDINGS OF THE 2017 2ND INTERNATIONAL CONFERENCE ON ELECTRICAL, CONTROL AND AUTOMATION ENGINEERING (ECAE 2017)（2017）

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摘要

A unified frequency-domain approach to analyze Neimark-Sacker bifurcation 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.

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关键词

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

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