HOMOGENEITY FOR TIME-DELAY SYSTEMS

Denis Efimov 1 Wilfrid Perruquetti 1, 2
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
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : The notion of homogeneity is extended to the time-delay nonlinear systems. It is shown that under some conditions the stability of homogeneous functional systems on a sphere implies the global stability of the system. The notion of local homogeneity is introduced, the relations between stability of the locally approximating dynamics and the original time-delay system are established. An example of the proposed theory application is given.
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Denis Efimov, Wilfrid Perruquetti. HOMOGENEITY FOR TIME-DELAY SYSTEMS. IFAC WC 2011, Aug 2011, Milan, Italy. pp.1-6. ⟨hal-00628890⟩

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