Zubov's method for interconnected systems - a dissipative formulation

Abstract : We study the domain of attraction of an asymptotically stable xed point of the feedback interconnections of two nonlinear systems. For each subsystem we introduce an auxiliary system and assume that it is uniformly locally asymptotically stable at the origin. It is then shown that each subsystem is integral input-to state stable(iISS) regarding the state of the other subsystem as input. If the interconnection of the two subsystems satis es a small gain condition, an estimate for the domain of attraction of the whole system may be obtained by constructing a nonsmooth Lyapunov function.
Type de document :
Communication dans un congrès
20th International Symposium on Mathematical Theory of Networks and Systems, 2012, Melbourne, Australia. 2012, 〈http://www.mtns2012.conference.net.au/Full%20Paper/MTNS2012_0184_paper.pdf〉
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https://hal.inria.fr/hal-00726534
Contributeur : Estelle Bouzat <>
Soumis le : jeudi 30 août 2012 - 15:16:07
Dernière modification le : mardi 22 mars 2016 - 01:22:24

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  • HAL Id : hal-00726534, version 1

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Huijuan Li, Fabian Wirth. Zubov's method for interconnected systems - a dissipative formulation. 20th International Symposium on Mathematical Theory of Networks and Systems, 2012, Melbourne, Australia. 2012, 〈http://www.mtns2012.conference.net.au/Full%20Paper/MTNS2012_0184_paper.pdf〉. 〈hal-00726534〉

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