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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.
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https://hal.inria.fr/hal-00726534
Contributor : Estelle Bouzat <>
Submitted on : Thursday, August 30, 2012 - 3:16:07 PM
Last modification on : Wednesday, October 10, 2018 - 8:44:13 PM

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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. ⟨hal-00726534⟩

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