Title :

On the Input-Output Distinguishability of Single Output Continuous Linear Time-Invariant Systems

Author(s) :

Motchon, Koffi Mawussé Djidula [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Pekpe, Midzodzi [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Cassar, Jean Philippe [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
De Bievre, Stephan [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Quantitative methods for stochastic models in physics [MEPHYSTO]

Journal title :

IEEE Transactions on Automatic Control

Pages :

1906-1911

Publisher :

Institute of Electrical and Electronics Engineers

Publication date :

2015

ISSN :

0018-9286

English keyword(s) :

Linear time-invariant system
Switched systems
Markov parameters
Distinguishability

HAL domain(s) :

Sciences de l'ingénieur [physics]/Automatique / Robotique

English abstract : [en]

This technical note addresses the distinguishability problem for continuous linear time-invariant systems using their input and output data. The proposed approach is based on the characterization of the class of initial ...
Show more >This technical note addresses the distinguishability problem for continuous linear time-invariant systems using their input and output data. The proposed approach is based on the characterization of the class of initial state vectors and control input signals that make the outputs of different continuous linear time-invariant systems indistinguishable. This class is defined here as the indistinguishability zone. From this characterization, a simple necessary and sufficient condition for the distinguishability of single-input, single-output systems is established. Furthermore, it is shown that multiple-input, single-output systems are never distinguishable.Show less >

Language :

Anglais

Popular science :

Oui

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL