scholarly journals Improved Stability Method for Linear Time-Varying Delay Systems

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 7753-7758 ◽  
Author(s):  
Zhanshan Zhao ◽  
Meili He ◽  
Jing Zhang ◽  
Jie Sun
Automatika ◽  
2019 ◽  
Vol 61 (2) ◽  
pp. 229-237
Author(s):  
Wenxi Feng ◽  
Fei Luo ◽  
Wenyong Duan ◽  
Yan Li ◽  
Jian Chen

2019 ◽  
Vol 37 (3) ◽  
pp. 831-854
Author(s):  
Ihab Haidar ◽  
Florentina Nicolau ◽  
Jean-Pierre Barbot ◽  
Woihida Aggoune

Abstract This paper deals with the input–output linearization of non-linear time-varying delay systems. We introduce an extension of the Lie derivative for time-varying delay systems and derive sufficient conditions for the existence of a causal and bounded non-linear feedback linearizing the input–output behaviour of the system. Sufficient conditions ensuring the internal stability after output stabilization are also presented. Finally, several examples illustrating our main results are discussed.


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