Time-delay systems with delayed impulses: A unified criterion on asymptotic stability

Automatica ◽  
2021 ◽  
Vol 125 ◽  
pp. 109470
Author(s):  
Kexue Zhang ◽  
Elena Braverman
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Delayed Impulses

Asymptotic stability analysis and model reduction for spatially interconnected time-delay systems

2020 ◽  
Vol 357 (17) ◽  
pp. 12670-12699
Author(s):  
Hui Wang ◽  
Huiling Xu ◽  
Xiaokai Zhai ◽  
Xuefeng Chen ◽  
Zhiping Lin
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Asymptotic Stability ◽  
Model Reduction ◽  
Delay Systems ◽  
Time Delay Systems

Fuzzy-PID Control and its Stability Analysis of Large Time-Delay Nonlinear Systems

2013 ◽  
Vol 380-384 ◽  
pp. 413-416
Author(s):  
Yu Chi Zhao ◽  
Jing Liu
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Pid Control ◽  
Large Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Fuzzy Pid Control ◽  
Design Algorithm ◽  
Fuzzy Observer ◽  
Fuzzy Input

Aiming at a kind of state unpredictability of the fuzzy input large time-delay systems, the author designs a fuzzy observer with the application of Parallel Distributed Compensation (PDC), puts forward the PID control method based on the fuzzy observer, and provides a new sufficient condition which guarantees the asymptotic stability of fuzzy large time-delay system. With the employment of generalized Lyapunov function and linear matrix inequality, this paper proves the asymptotic stability of fuzzy input large time-delay systems and offers the separation design algorithm to control and observe gain matrix. The simulation results of the experiment further verify the effectiveness of the methods and conditions raised in this paper.

scholarly journals Robust stability of linear perturbed discrete systems with multiple time-delay

2006 ◽  
Vol 60 (3-4) ◽  
pp. 82-86
Author(s):  
Sreten Stojanovic ◽  
Dragutin Debeljkovic ◽  
Ilija Mladenovic
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Robust Stability ◽  
Sufficient Conditions ◽  
Discrete Systems ◽  
Numerical Results ◽  
Delay Systems ◽  
Multiple Delays ◽  
Multiple Time ◽  
Time Delay Systems

The paper presents some new sufficient conditions, independent of delay, for the asymptotic stability of a particular class of linear perturbed time-delay systems with multiple delays. The proposed criteria introduce a smaller number of assumptions and are expressed in more natural and simpler mathematical forms. Numerical results are presented to support and illustrate the derived results.

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