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Stability of Interconnected Uncertain Delay Systems: A Converse Lyapunov Approach

Authors :
Mario Sigalotti
Ihab Haidar
Paolo Mason
Laboratoire QUARTZ (QUARTZ )
Université Paris 8 Vincennes-Saint-Denis (UP8)-Ecole Nationale Supérieure de l'Electronique et de ses Applications (ENSEA)-ISAE-Supméca Institut Supérieur de Mécanique de Paris (ISAE-Supméca)
Centre National de la Recherche Scientifique (CNRS)
Laboratoire des signaux et systèmes (L2S)
CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)
Control And GEometry (CaGE )
Inria de Paris
Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jacques-Louis Lions (LJLL (UMR_7598))
Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)
Laboratoire Jacques-Louis Lions (LJLL (UMR_7598))
Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)
Giorgio Valmorbida
Alexandre Seuret
Islam Boussaada
Rifat Sipahi
Source :
Delays and Interconnections: Methodology, Algorithms and Applications ISBN: 9783030115531, Delays and Interconnections: Methodology, Algorithms and Applications, Giorgio Valmorbida; Alexandre Seuret; Islam Boussaada; Rifat Sipahi. Delays and Interconnections: Methodology, Algorithms and Applications, 10, Springer, 2019
Publication Year :
2019
Publisher :
Springer International Publishing, 2019.

Abstract

In this chapter we first recall a collection of converse Lyapunov–Krasovskii theorems for uncertain linear retarded systems. The originality of these theorems resides in the weakly-degenerate conditions required on the Lyapunov–Krasovskii functionals. Thanks to these theorems, sufficient conditions for the stability of interconnected uncertain linear retarded systems are given.

Subjects

Subjects :
Nonlinear Sciences::Chaotic Dynamics
Computer Science::Systems and Control
Originality
Control theory
media_common.quotation_subject
Converse
Stability (learning theory)
Lyapunov approach
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
media_common
Mathematics

Details

ISBN :
978-3-030-11553-1
ISBNs :
9783030115531
Database :
OpenAIRE
Journal :
Delays and Interconnections: Methodology, Algorithms and Applications ISBN: 9783030115531, Delays and Interconnections: Methodology, Algorithms and Applications, Giorgio Valmorbida; Alexandre Seuret; Islam Boussaada; Rifat Sipahi. Delays and Interconnections: Methodology, Algorithms and Applications, 10, Springer, 2019
Accession number :
edsair.doi.dedup.....e583b5ee0ff95875aa5471ebcde4b58f
Full Text :
https://doi.org/10.1007/978-3-030-11554-8_4
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