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On robust stability of multistable passive systems

Nelson de Figueireido Barroso 1 Rosane Ushirobira 1 Denis Efimov 1 Alexandre Fradkov 2
1 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : The problem of stability robustness with respect to external inputs is analyzed for passive and strict passive systems, whose storage and supply rate functions are sign-definite with respect to a set containing all compact and globally attracting invariant subsets of the unforced system. The results are obtained using the framework of input-to-state stability and integral input-to-state stability for multistable systems. Several conditions are proposed and the cases when an output stabilizing feedback is needed are highlighted. An application of the obtained conditions is illustrated on the model of multispecies populations.
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Nelson de Figueireido Barroso, Rosane Ushirobira, Denis Efimov, Alexandre Fradkov. On robust stability of multistable passive systems. ECC 2019 - 17th European Control Conference, Jun 2019, Naples, Italy. ⟨hal-02418552⟩

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