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Discrete-Time Homogeneity: Robustness and Approximation

Tonametl Sanchez 1 Denis Efimov 1, 2 Andrey Polyakov 1, 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
2 ITMO University [Russia]
Abstract : In this paper we study robustness properties of discrete-time homogeneous systems. We also analyse stability and robustness properties of a more general class of nonlin-ear discrete-time systems that can be approximated by homogeneous ones. We apply the results to the investigation of stability properties of discretized continuous-time systems.
Keywords : Nonlinear systems Discrete-time systems Lyapunov methods Robustness Homogeneous systems
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Tonametl Sanchez, Denis Efimov, Andrey Polyakov. Discrete-Time Homogeneity: Robustness and Approximation. Automatica, Elsevier, In press, ⟨10.1016/j.automatica.2020.109275⟩. ⟨hal-02903389⟩

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