Reduced-order modeling technique for weakly non-linear time-varying circuits with memory

2003 ◽  
Author(s):  
F.J. Casas ◽  
J. Portilla ◽  
R. Quere ◽  
A. Mallet ◽  
J.F. Villemazet
Keyword(s):  
Linear Time ◽  
Reduced Order Modeling ◽  
Modeling Technique ◽  
Time Varying ◽  
Reduced Order ◽  
Non Linear ◽  
With Memory

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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