Input–output linearization of non-linear time-varying delay systems: the single-input single-output case-Reference-Cited by-同舟云学术

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

Published:2019-11-14 Issue:3 Volume:37 Page:831-854
ISSN:0265-0754
Container-title:IMA Journal of Mathematical Control and Information
language:en
Short-container-title:

Author:

Haidar Ihab¹,Nicolau Florentina¹,Barbot Jean-Pierre¹,Aggoune Woihida¹

Affiliation:

1. Quartz EA 7393, ENSEA, 6 Avenue du Ponceau 95014, Cergy-Pontoise Cedex, France

Abstract

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.

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Control and Optimization,Control and Systems Engineering

Link

http://academic.oup.com/imamci/article-pdf/37/3/831/38390400/imamci_37_3_831.pdf

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