scholarly journals A Novel Frequency-Domain Approach for the Exact Range of Imaginary Spectra and the Stability Analysis of LTI Systems With Two Delays

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 36595-36601
Author(s):  
Chengzhi Yuan ◽  
Shuang Song ◽  
Qingbin Gao ◽  
Hamid Reza Karimi ◽  
Libor Pekar ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Frequency Domain ◽  
Two Delays ◽  
The Stability ◽  
Frequency Domain Approach

Data Processing in Bifurcation Analysis of Maps with Time-Delays in the Frequency Domain

2014 ◽  
Vol 685 ◽  
pp. 634-637
Author(s):  
Li Zeng ◽  
Jun Wei Wang
Keyword(s):  
Data Processing ◽  
Frequency Domain ◽  
Time Delays ◽  
Period Doubling ◽  
Feedback Systems ◽  
Bifurcation Solution ◽  
Nonlinear Maps ◽  
The Stability ◽  
Frequency Domain Approach ◽  
Period Doubling Bifurcations

A unified frequency-domain approach to analyze the NS (Neimark-Sacker) bifurcations and the period-doubling bifurcations of nonlinear maps with time-delays in the linear feed-forward term is presented. The technique relies on the HBA (harmonic balance approximation, a very important method in data processing ) and feedback systems theory. The expressions of the bifurcation solution and the stability are derived.

STABILITY AND HOPF BIFURCATION ON A TWO-NEURON SYSTEM WITH TIME DELAY IN THE FREQUENCY DOMAIN

2007 ◽  
Vol 17 (04) ◽  
pp. 1355-1366 ◽  
Author(s):  
WENWU YU ◽  
JINDE CAO
Keyword(s):  
Hopf Bifurcation ◽  
Time Delay ◽  
Frequency Domain ◽  
Harmonic Balance ◽  
Neuron System ◽  
Bifurcation Theorem ◽  
Nyquist Criterion ◽  
The Stability ◽  
Frequency Domain Approach ◽  
System With Time Delay

In this paper, a general two-neuron model with time delay is considered, where the time delay is regarded as a parameter. It is found that Hopf bifurcation occurs when this delay passes through a sequence of critical value. By analyzing the characteristic equation and using the frequency domain approach, the existence of Hopf bifurcation is determined. The stability of bifurcating periodic solutions are determined by the harmonic balance approach, Nyquist criterion and the graphic Hopf bifurcation theorem. Numerical results are given to justify the theoretical analysis.

scholarly journals The stability analysis of a system with two delays

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Sertaç Erman ◽  
Hulya Kodal Sevindir ◽  
Ali Demir
Keyword(s):  
Stability Analysis ◽  
Two Delays ◽  
The Stability

Double Loop Autopilot Design Based on Frequency Domain

2011 ◽  
Vol 301-303 ◽  
pp. 1724-1729
Author(s):  
Mei Sa Pang ◽  
Deng Hua Li ◽  
Jun Fang Fan ◽  
Xue Fei Li
Keyword(s):  
System Design ◽  
Frequency Domain ◽  
Static Stability ◽  
Double Loop ◽  
Guidance And Control ◽  
Control Gain ◽  
Aerodynamic Parameters ◽  
The Stability ◽  
And Control ◽  
Frequency Domain Approach

The static stability of missile pitching movement is one of the important performances in guidance and control systems. In this paper, a method which consists of the single and double loop longitudinal autopilot using frequency domain approach is proposed to solve the problem efficiently. Single-loop autopilot is used to simplify the system design when the missile is highly static stable; the double-loop autopilot is employed to stabilize the system and improve frequency performance when the missile is static stable or static unstable. Control gain of the system is determined by aerodynamic parameters and frequency domain indexes. The simulation result shows that double-loop autopilot based on frequency domain simplified the system design and improved the stability and robustness of missile system.

Stability analysis of the Korean prototype Generation-IV sodium-cooled fast reactor using linear frequency domain approach

Kerntechnik ◽  
2016 ◽  
Vol 81 (1) ◽  
pp. 8-16
Author(s):  
S. J. Kim ◽  
P. N. V. Ha ◽  
J. Y. Lim ◽  
D. H. Hahn ◽  
C. M. Kang
Keyword(s):  
Stability Analysis ◽  
Frequency Domain ◽  
Fast Reactor ◽  
Linear Frequency ◽  
Frequency Domain Approach
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