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Conference papers

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
3 UNIVAQ - Università degli Studi dell'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
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Conference papers
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https://hal.inria.fr/hal-01088235
Contributor : Frederic Mazenc Connect in order to contact the contributor
Submitted on : Thursday, November 27, 2014 - 4:54:38 PM
Last modification on : Friday, January 21, 2022 - 3:22:31 AM

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CNRS | INRIA | INRIA2 | SUPELEC | SUP_SYSTEMES | SUP_LSS | DISCO-L2S | EC-PARIS | UNIV-PARIS-SACLAY

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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. pp.6800-6805, ⟨10.3182/20140824-6-ZA-1003.01136⟩. ⟨hal-01088235⟩

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