Global Lyapunov analysis of multi-stable nonlinear systems

Denis Efimov 1
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : A new type of stability is introduced and its equivalent Lyapunov characterization is presented. The problem of global stability for the compact set composed of all invariant solutions of a nonlinear system (several equilibriums, for instance) is studied. Such problem statement allows us to analyze global stability properties for multi-stabl e systems. It is shown that several well-known multi-stable systems satisfy this new stability property.
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Denis Efimov. Global Lyapunov analysis of multi-stable nonlinear systems. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2012, 50 (5), pp.3132-3154. ⟨10.1137/090767509⟩. ⟨hal-00745623⟩

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