Input-output Approach and Scaled Small Gain Theorem Analysis to Sampled-data Systems with Time-varying Delay

2020 ◽  
Vol 18 (9) ◽  
pp. 2242-2250
Author(s):  
Ouarda Lamrabet ◽  
El Houssaine Tissir ◽  
Nabil El Fezazi ◽  
Fatima El Haoussi
Keyword(s):  
Time Varying ◽  
Data Systems ◽  
Sampled Data ◽  
Input Output ◽  
Time Varying Delay ◽  
Small Gain Theorem ◽  
Small Gain ◽  
Varying Delay

An Input–Output Approach to Anti-windup Design for Sampled-Data Systems with Time-Varying Delay

2020 ◽  
Vol 39 (10) ◽  
pp. 4868-4889
Author(s):  
Ouarda Lamrabet ◽  
Khadija Naamane ◽  
El Houssaine Tissir ◽  
Fatima El Haoussi ◽  
Fernando Tadeo
Keyword(s):  
Time Varying ◽  
Data Systems ◽  
Sampled Data ◽  
Input Output ◽  
Time Varying Delay ◽  
Varying Delay

Small-gain theorem and finite-frequency analysis of TCP/AQM system with time varying delay

2019 ◽  
Vol 13 (13) ◽  
pp. 1971-1982 ◽  
Author(s):  
Belamfedel Alaoui Sadek ◽  
Tissir El Houssaine ◽  
Chaibi Noreddine
Keyword(s):  
Frequency Analysis ◽  
Time Varying ◽  
Finite Frequency ◽  
Time Varying Delay ◽  
Small Gain Theorem ◽  
Small Gain ◽  
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.

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