scholarly journals Robust output stabilization of time-varying input delay systems using attractive ellipsoid method

2013 ◽  
Author(s):  
Andrey Polyakov ◽  
Alexander Poznyak ◽  
Jean-Pierre Richard
Keyword(s):  
Input Delay ◽  
Delay Systems ◽  
Time Varying ◽  
Ellipsoid Method ◽  
Output Stabilization

scholarly journals Output stabilization of time-varying input delay systems using interval observation technique

Automatica ◽  
2013 ◽  
Vol 49 (11) ◽  
pp. 3402-3410 ◽  
Author(s):  
Andrey Polyakov ◽  
Denis Efimov ◽  
Wilfrid Perruquetti ◽  
Jean-Pierre Richard
Keyword(s):  
Input Delay ◽  
Delay Systems ◽  
Time Varying ◽  
Output Stabilization

Predictor-based stabilization of discrete time-varying input-delay systems

Automatica ◽  
2012 ◽  
Vol 48 (2) ◽  
pp. 454-457 ◽  
Author(s):  
A. Gonzalez ◽  
A. Sala ◽  
P. Albertos
Keyword(s):  
Discrete Time ◽  
Input Delay ◽  
Delay Systems ◽  
Time Varying

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.

Practical Stability of Nonlinear Time-Varying Delay Systems

1997 ◽  
Vol 30 (6) ◽  
pp. 883-888
Author(s):  
A. Goubet-Bartholoméüs ◽  
M. Dambrine ◽  
J.-P. Richard
Keyword(s):  
Practical Stability ◽  
Delay Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay
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