Uniform Stability Analysis for Time-Varying Systems Applying Homogeneity

Hector Rios 1 Denis Efimov 1, 2 Leonid Fridman 3 Jaime Moreno 3 Wilfrid Perruquetti 1, 2, 4
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 : The uniform stability notion for a class of non-linear time-varying systems is studied using the homogeneity framework. It is assumed that the system is weighted homogeneous considering the time variable as a constant parameter, then several conditions of uniform stability for such a class of systems are formulated. The results are applied to the problem of adaptive estimation for a linear system.
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Submitted on : Thursday, November 13, 2014 - 10:23:57 AM
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Hector Rios, Denis Efimov, Leonid Fridman, Jaime Moreno, Wilfrid Perruquetti. Uniform Stability Analysis for Time-Varying Systems Applying Homogeneity. IEEE CDC 2014, Dec 2014, Los Angeles, United States. ⟨hal-01082173⟩



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