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
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.
Type de document :
Communication dans un congrès
Proceedings of the 19th IFAC World Congress, 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 5 avril 2018 - 12:30:13

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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. Proceedings of the 19th IFAC World Congress, 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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