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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.
https://hal.inria.fr/hal-01088235
Contributor : Frederic Mazenc <>
Submitted on : Thursday, November 27, 2014 - 4:54:38 PM
Last modification on : Tuesday, April 13, 2021 - 12:20:12 PM
Contributor : Frederic Mazenc <>
Submitted on : Thursday, November 27, 2014 - 4:54:38 PM
Last modification on : Tuesday, April 13, 2021 - 12:20:12 PM
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