Development Of Homogeneity Concept For Time-Delay Systems

Denis Efimov 1, 2 Wilfrid Perruquetti 1, 2, 3 Jean-Pierre Richard 1, 2, 3
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. Applications of Lyapunov-Krasovskii functionals and Lyapunov-Razumikhin functions for stability investigation are analyzed. The notion of local homogeneity is introduced, relations between stability/instability of the locally approximating dynamics and the original time-delay system are established. A link between homogeneity and input-to-state stability is investigated. Examples of application of the proposed theory are given.
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Submitted on : Friday, March 7, 2014 - 3:03:48 PM
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Denis Efimov, Wilfrid Perruquetti, Jean-Pierre Richard. Development Of Homogeneity Concept For Time-Delay Systems. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2014. ⟨hal-00956878⟩

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