Full and reduced‐order H ∞ filtering of Takagi–Sugeno fuzzy time‐varying delay systems: Input–output approach

2021 ◽  
Vol 35 (5) ◽  
pp. 748-768
Author(s):  
Hicham El Aiss ◽  
Taha Zoulagh ◽  
Ahmed El Hajjaji ◽  
Abdelaziz Hmamed
Keyword(s):  
Delay Systems ◽  
Time Varying ◽  
Input Output ◽  
Reduced Order ◽  
Time Varying Delay ◽  
Takagi Sugeno ◽  
Varying Delay

scholarly journals Input–output linearization of non-linear time-varying delay systems: the single-input single-output case

2019 ◽  
Vol 37 (3) ◽  
pp. 831-854
Author(s):  
Ihab Haidar ◽  
Florentina Nicolau ◽  
Jean-Pierre Barbot ◽  
Woihida Aggoune
Keyword(s):  
Linear Time ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Time Varying ◽  
Input Output ◽  
Time Varying Delay ◽  
Output Stabilization ◽  
Non Linear ◽  
Varying Delay ◽  
Input Output Linearization

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.

scholarly journals Input-output linearization of SISO nonlinear time-varying delay systems

2017 ◽  
Vol 50 (1) ◽  
pp. 13300-13305
Author(s):  
Ihab Haidar ◽  
Florentina Nicolau ◽  
Jean-Pierre Barbot ◽  
Woihida Aggoune
Keyword(s):  
Delay Systems ◽  
Time Varying ◽  
Input Output ◽  
Time Varying Delay ◽  
Varying Delay ◽  
Input Output Linearization

An input–output approach to H∞ reduced filter design for polytopic time-varying delay systems

2018 ◽  
Vol 50 (1) ◽  
pp. 35-49 ◽  
Author(s):  
Hicham El Aiss ◽  
Taha Zoulagh ◽  
Abdelaziz Hmamed ◽  
Ahmed El Hajjaji
Keyword(s):  
Filter Design ◽  
Delay Systems ◽  
Time Varying ◽  
Input Output ◽  
Time Varying Delay ◽  
Varying Delay

scholarly journals Input-output Decoupling and Linearization of Nonlinear Multi-input Multi-output Time-varying Delay Systems

2020 ◽  
Vol 53 (2) ◽  
pp. 5771-5776
Author(s):  
F. Nicolau ◽  
I. Haidar ◽  
J.P. Barbot ◽  
W. Aggoune
Keyword(s):  
Delay Systems ◽  
Time Varying ◽  
Input Output ◽  
Time Varying Delay ◽  
Output Time ◽  
Varying Delay
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