Identifiability and observability of nonlinear time-delay system with unknown inputs

Gang Zheng 1, 2 Jean-Pierre Richard 3, 2, 1
1 NON-A - Non-Asymptotic estimation for online systems
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189, Inria Lille - Nord Europe
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : Using the theory of non-commutative rings, the delay identification problem of nonlinear time-delay systems with unknown inputs is studied. Necessary and sufficient conditions are proposed to judge the identifiability of the delay, where two different cases are discussed for the dependent and independent outputs, respectively. After that, necessary and sufficient conditions are given to analyze the causal and non-causal observability for nonlinear time-delay systems with unknown inputs.
Document type :
Book sections
Complete list of metadatas

Cited literature [49 references]  Display  Hide  Download

https://hal.inria.fr/hal-01109157
Contributor : Gang Zheng <>
Submitted on : Saturday, January 24, 2015 - 11:26:16 PM
Last modification on : Friday, March 22, 2019 - 1:34:00 AM
Long-term archiving on : Saturday, April 25, 2015 - 10:15:34 AM

File

zheng.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01109157, version 1

Citation

Gang Zheng, Jean-Pierre Richard. Identifiability and observability of nonlinear time-delay system with unknown inputs. Recent Results on Nonlinear Time Delayed Systems, Springer Verlag, 2015. ⟨hal-01109157⟩

Share

Metrics

Record views

328

Files downloads

404