On stability analysis of nonlinear time-delay systems on time scales

2019 ◽  
Vol 131 ◽  
pp. 104498 ◽  
Author(s):  
Xianfu Zhang ◽  
Xiaodong Lu
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Time Scales ◽  
Delay Systems ◽  
Time Delay Systems

Robust stability analysis of time delay systems: a survey

1999 ◽  
Vol 23 (1) ◽  
pp. 185-196 ◽  
Author(s):  
V Kharitonov
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Robust Stability ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Robust Stability Analysis

Stability analysis of Persidskii time‐delay systems with synchronous and asynchronous switching

2021 ◽  
Author(s):  
Alexander Aleksandrov ◽  
Natalya Andriyanova ◽  
Denis Efimov
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Asynchronous Switching

Stability analysis of a general family of nonlinear positive discrete time-delay systems

2016 ◽  
Vol 89 (7) ◽  
pp. 1303-1315 ◽  
Author(s):  
P. T. Nam ◽  
V. N. Phat ◽  
P. N. Pathirana ◽  
H. Trinh
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Discrete Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
General Family ◽  
Discrete Time Delay

Stabilizing Gain Regions of PID Controller for Time Delay Systems

2013 ◽  
Vol 313-314 ◽  
pp. 432-437
Author(s):  
Fu Min Peng ◽  
Bin Fang
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Pid Controller ◽  
Delay System ◽  
Nyquist Plot ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Frequency Range ◽  
Time Delay System ◽  
Key Points

Based on the inverse Nyquist plot, this paper proposes a method to determine stabilizing gain regions of PID controller for time delay systems. According to the frequency characteristic of the inverse Nyquist plot, it is confirmed that the frequency range is used for stability analysis, and the abscissas of two kind key points are obtained in this range. PID gain is divided into several regions by abscissas of key points. Using an inference and two theorems presented in the paper, the stabilizing PID gain regions are determined by the number of intersections of the inverse Nyquist plot and the vertical line in the frequency range. This method is simple and convenient. It can solve the problem of getting the stabilizing gain regions of PID controller for time delay system.

scholarly journals Synthesis of Razumikhin and Lyapunov–Krasovskii approaches to stability analysis of time-delay systems

Automatica ◽  
2015 ◽  
Vol 51 ◽  
pp. 372-377 ◽  
Author(s):  
Irina V. Medvedeva ◽  
Alexey P. Zhabko
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems

Robust stability analysis of time delay systems: A survey

1999 ◽  
Vol 23 ◽  
pp. 185-196 ◽  
Author(s):  
Vladimir L. Kharitonov
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Robust Stability ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Robust Stability Analysis

Delay Independence Stability Analysis and Switching Law Design for the Switched Time-delay Systems

2011 ◽  
Vol 10 (6) ◽  
pp. 1201-1207 ◽  
Author(s):  
Ming-Yuan Shieh ◽  
Juing-Shian Chiou ◽  
Chun-Ming Cheng
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Switching Law

Delay-dependent stability analysis of stochastic time-delay systems involving Poisson process

2021 ◽  
Vol 358 (1) ◽  
pp. 1087-1102
Author(s):  
Bo Song ◽  
Ya Zhang ◽  
Ju H. Park ◽  
Zhichun Yang
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Poisson Process ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Stochastic Time
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