Construction of Lyapunov functionals for networks of coupled delay differential and continuous-time difference equations

Hiroshi Ito 1 Frédéric Mazenc 2 Pierdomenico Pepe 3
1 Department of Systems Design and Informatics
Kyushu Institute of Technology
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
3 UNIVAQ.IT - Università degli Studi dell'Aquila [L'Aquila]
Abstract : To address various types of delays including the neutral-type arising in dynamical networks, this paper deals with coupled delay differential and continuous-time difference equations and develops stability and robustness criteria.Subsystems described by differential equations are not required to be input-to-state stable. No assumptions on network topology are made. To tackle networks in such a general formulation, this paper explicitly constructs Lyapunov-type functionals establishing stability and robustness of the overall networks. The construction requires only simple characterizations of subsystems in terms of inequalities with Lyapunov functions and instantaneous norms.
Keywords : Control of interconnected systems Delay systems Lyapunov methods
Type de document :
Communication dans un congrès
19th IFAC World Congress on International Federation of Automatic Control (IFAC 2014), Aug 2014, Cape Town, South Africa. 19 (Part 1), pp.6800-6805, 〈10.3182/20140824-6-ZA-1003.01136〉
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https://hal.inria.fr/hal-01088235
Contributeur : Frederic Mazenc <>
Soumis le : jeudi 27 novembre 2014 - 16:54:38
Dernière modification le : jeudi 26 avril 2018 - 15:20:29

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Hiroshi Ito, Frédéric Mazenc, Pierdomenico Pepe. Construction of Lyapunov functionals for networks of coupled delay differential and continuous-time difference equations. 19th IFAC World Congress on International Federation of Automatic Control (IFAC 2014), Aug 2014, Cape Town, South Africa. 19 (Part 1), pp.6800-6805, 〈10.3182/20140824-6-ZA-1003.01136〉. 〈hal-01088235〉

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