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

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.
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https://hal.inria.fr/hal-01088235
Contributor : Frederic Mazenc <>
Submitted on : Thursday, November 27, 2014 - 4:54:38 PM
Last modification on : Thursday, July 9, 2020 - 4:08:02 PM

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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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