scholarly journals Input-output framework for robust stability of time-varying delay systems

2009 ◽  
Author(s):  
Yassine Ariba ◽  
Frederic Gouaisbaut
Keyword(s):  
Robust Stability ◽  
Delay Systems ◽  
Time Varying ◽  
Input Output ◽  
Time Varying Delay ◽  
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 Robust Stability of Time-Varying Delay Systems: The Quadratic Separation Approach

2012 ◽  
Vol 14 (5) ◽  
pp. 1205-1214 ◽  
Author(s):  
Yassine Ariba ◽  
Frédéric Gouaisbaut ◽  
Karl Henrik Johansson
Keyword(s):  
Robust Stability ◽  
Delay Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay

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
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