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Observability and Detectability Analysis of Singular Linear Systems with Unknown Inputs

Francisco Javier Bejarano 1, * Thierry Floquet 1, 2 Wilfrid Perruquetti 1, 2, 3 Gang Zheng 1
* Corresponding author
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
3 Ecole Centrale de Lille
Abstract : We study the observability problem of a general class of singular linear systems with unknown inputs. It is shown that, under some assumptions, the problem is equivalent to study the observability of a standard linear system with unknown inputs satisfying algebraic constraints. We obtain necessary and sufficient conditions for observability in terms of the zeros of the system matrix.
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https://hal.inria.fr/inria-00626982
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Submitted on : Tuesday, September 27, 2011 - 2:30:21 PM
Last modification on : Friday, December 11, 2020 - 6:44:07 PM
Long-term archiving on: : Wednesday, December 28, 2011 - 2:48:45 AM

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Francisco Javier Bejarano, Thierry Floquet, Wilfrid Perruquetti, Gang Zheng. Observability and Detectability Analysis of Singular Linear Systems with Unknown Inputs. 50th IEEE Conference on Decision and Control and European Control Conference, Dec 2011, Orlando, Florida, United States. ⟨10.1109/CDC.2011.6161325⟩. ⟨inria-00626982⟩

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