Local stabilization of networked linear systems with decentralized switching controllers
Ghania Khodja  1@  , Christophe Fiter  1  , Laurentiu Hetel  1  , Thierry Floquet  1  , Wim Michiels  2  
1 : Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Université de Lille : UMR9189, Centrale Lille : UMR9189, Centre National de la Recherche Scientifique : UMR9189, Centrale Lille, Université de Lille, Centre National de la Recherche Scientifique
2 : Department of Computer Science [KU Leuven]

In this work, we consider networks of (identical) linear systems (that can be only locally
stabilized) with the controlled input switching among a finite set of values. Scalable Lyapunov
based conditions that do not depend on the number of subsystems are proposed for designing
such decentralized controllers. Ellipsoidal estimates of the domain of attraction are given.



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