Stability test and dominant eigenvalues computation for second-order linear systems with multiple time-delays using receptance method

2020 ◽  
Vol 137 ◽  
pp. 106180 ◽  
Author(s):  
Jia-Fan Zhang ◽  
Huajiang Ouyang ◽  
Ke-Wei Zhang ◽  
Hai-Min Liu
Keyword(s):  
Linear Systems ◽  
Time Delays ◽  
Second Order ◽  
Stability Test ◽  
Multiple Time ◽  
Order Linear ◽  
Multiple Time Delays ◽  
Receptance Method

Robust stability of uncertain linear systems with multiple time delays

1997 ◽  
Vol 211 (3) ◽  
pp. 195-202
Author(s):  
Y Fang
Keyword(s):  
Linear Systems ◽  
Robust Stability ◽  
Time Delays ◽  
Linear Time ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Multiple Time ◽  
Time Delay Systems ◽  
Multiple Time Delays ◽  
Uncertain Linear Systems

In this paper, the robust stability of uncertain linear systems with multiple time delays is studied. Sufficient conditions for robust stability of linear time delay systems with convex perturbations are obtained. From these sufficient conditions, a few results on robust stability of systems with other perturbations are derived. Some previously known sufficient conditions are generalized.

PD-Type ILC Algorithm Research with Forgetting Factor for a Class of Linear Systems with Multiple Time Delays

2012 ◽  
Vol 220-223 ◽  
pp. 1125-1130 ◽  
Author(s):  
Hong Yang ◽  
Sheng Ming Li
Keyword(s):  
Linear Systems ◽  
Iterative Learning Control ◽  
Time Delays ◽  
Learning Control ◽  
Iterative Learning ◽  
Multiple Time ◽  
Forgetting Factor ◽  
Convergence Conditions ◽  
Multiple Time Delays ◽  
Study Results

Based on iterative learning control (ILC) algorithm with forgetting factor, the thought that the forgetting factor is a function of iteration numbers is proposed in this paper, which has simplified the convergence conditions. And the convergence analysis is given. Then, the study results of this paper are applied to a class of linear systems with multiple time delays and simulation results show that, under the improvements of the convergence conditions and the reasonable choice of forgetting factor function, the PD-type iterative learning control algorithm with forgetting factor applied to the linear systems with multiple time delays in this paper has effectiveness and superiority.

scholarly journals Exponential Stability of Linear Systems with Multiple Time Delays

2016 ◽  
Vol 2 (1) ◽  
pp. 69-78
Author(s):  
Y Ordokhani ◽  
E Taghizadeh ◽  
D Behmardi ◽  
M Matin Far ◽  
◽  
...  
Keyword(s):  
Exponential Stability ◽  
Linear Systems ◽  
Time Delays ◽  
Multiple Time ◽  
Multiple Time Delays
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