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Séminaire du département Automatique du 07/02/2013 à 14h00


Recent advances in the analysis of interconnected nonlinear systems by ISS-related concept.

Intervenant : A. Chaillet, L2S, Université Paris Sud, Supelec

Lieu : Salle des séminaires, Département Auto., ENSE3, Bat 3, 2è étage


Résumé : The concept of Input-to-State Stability (ISS), introduced by E.D. Sontag in the late eighties, has become a central tool in the analysis and control of nonlinear dynamical systems. It has found application in domains as diverse as control under communication constraints, robotics, production lines, transportation, chaotic systems, biochemical networks, and neuroscience. Several variants of ISS-related concepts now exist in the literature, the most famous being Integral Input-to-State Stability (iISS). In this talk, we will briefly review these notions and present some recent advances concerning the interconnection (feedback and cascade) of nonlinear systems and their robustness to exogenous signals. In particular, we will present the notion of Strong iISS, which constitutes an interesting compromise between the strength of ISS and the generality of iISS.

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