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Algebraic switching time identification for a class of linear hybrid systems

Yang Tian 1 Thierry Floquet 2, 3 Lotfi Belkoura 1, 2 Wilfrid Perruquetti 1, 4
2 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
3 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : In this paper, a method for the finite time estimation of the switching times in linear switched systems is proposed. The approach is based on algebraic tools (differential algebra, module theory and operational calculus) and distribution theory. Switching time estimates are given by explicit algebraic formulae that can be implemented in a straightforward manner using standard tools from computational mathematics. Simulations illustrate the proposed techniques.
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https://hal.inria.fr/inria-00424440
Contributor : Thierry Floquet <>
Submitted on : Thursday, October 15, 2009 - 5:29:55 PM
Last modification on : Tuesday, September 29, 2020 - 12:24:14 PM
Long-term archiving on: : Wednesday, June 16, 2010 - 12:48:09 AM

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Yang Tian, Thierry Floquet, Lotfi Belkoura, Wilfrid Perruquetti. Algebraic switching time identification for a class of linear hybrid systems. ADHS'09 - IFAC Conference on Analysis and Design of Hybrid Systems, Sep 2009, Saragosse, Spain. ⟨10.1016/j.nahs.2010.07.003⟩. ⟨inria-00424440⟩

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