Observability reduction algorithm for rational systems

Jana Němcová; Mihály Petreczky; Jan H. van Schuppen

doi:10.1109/CDC.2016.7799151

Observability reduction algorithm for rational systems

Jana Němcová, Mihály Petreczky, Jan H. van Schuppen

Mathematical Physics

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

3 Citations (Scopus)

Abstract

An algorithm is provided to reduce an unobservable rational system to an observable rational system while preserving its input-output behavior. The core of the algorithm lies in finding generators for the observation algebra generated by the unobservable rational system. Respective steps of the algorithm refer to standard operations in algebraic geometry. Examples are provided.

Original language	English
Title of host publication	Proceedings 2016 IEEE 55th Conference on Decision and Control (CDC)
Editors	Francesco Bullo, Christophe Prieur, Alessandro Giua
Place of Publication	Piscataway, NJ
Publisher	IEEE
Pages	5738-5743
Number of pages	6
ISBN (Electronic)	978-1-5090-1837-6
DOIs	https://doi.org/10.1109/CDC.2016.7799151
Publication status	Published - 2016
Event	55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States Duration: 12 Dec 2016 → 14 Dec 2016

Conference

Conference	55th IEEE Conference on Decision and Control, CDC 2016
Abbreviated title	CDC 2016
Country/Territory	United States
City	Las Vegas
Period	12/12/16 → 14/12/16

Keywords

Observability
Biological system modeling
Algebra
Nonlinear systems
Switches
Trajectory

Access to Document

10.1109/CDC.2016.7799151

Cite this

@inproceedings{059e885fa8184d75915912b1317afd16,

title = "Observability reduction algorithm for rational systems",

abstract = "An algorithm is provided to reduce an unobservable rational system to an observable rational system while preserving its input-output behavior. The core of the algorithm lies in finding generators for the observation algebra generated by the unobservable rational system. Respective steps of the algorithm refer to standard operations in algebraic geometry. Examples are provided.",

keywords = "Observability, Biological system modeling, Algebra, Nonlinear systems, Switches, Trajectory",

author = "Jana N{\v e}mcov{\'a} and Mih{\'a}ly Petreczky and {van Schuppen}, {Jan H.}",

year = "2016",

doi = "10.1109/CDC.2016.7799151",

language = "English",

pages = "5738--5743",

editor = "Francesco Bullo and Christophe Prieur and Alessandro Giua",

booktitle = "Proceedings 2016 IEEE 55th Conference on Decision and Control (CDC)",

publisher = "IEEE",

address = "United States",

note = "55th IEEE Conference on Decision and Control, CDC 2016, CDC 2016 ; Conference date: 12-12-2016 Through 14-12-2016",

}

Němcová, J, Petreczky, M & van Schuppen, JH 2016, Observability reduction algorithm for rational systems. in F Bullo, C Prieur & A Giua (eds), Proceedings 2016 IEEE 55th Conference on Decision and Control (CDC) ., 7799151, IEEE, Piscataway, NJ, pp. 5738-5743, 55th IEEE Conference on Decision and Control, CDC 2016, Las Vegas, United States, 12/12/16. https://doi.org/10.1109/CDC.2016.7799151

Observability reduction algorithm for rational systems. / Němcová, Jana; Petreczky, Mihály; van Schuppen, Jan H.
Proceedings 2016 IEEE 55th Conference on Decision and Control (CDC) . ed. / Francesco Bullo; Christophe Prieur; Alessandro Giua. Piscataway, NJ: IEEE, 2016. p. 5738-5743 7799151.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - Observability reduction algorithm for rational systems

AU - Němcová, Jana

AU - Petreczky, Mihály

AU - van Schuppen, Jan H.

PY - 2016

Y1 - 2016

N2 - An algorithm is provided to reduce an unobservable rational system to an observable rational system while preserving its input-output behavior. The core of the algorithm lies in finding generators for the observation algebra generated by the unobservable rational system. Respective steps of the algorithm refer to standard operations in algebraic geometry. Examples are provided.

AB - An algorithm is provided to reduce an unobservable rational system to an observable rational system while preserving its input-output behavior. The core of the algorithm lies in finding generators for the observation algebra generated by the unobservable rational system. Respective steps of the algorithm refer to standard operations in algebraic geometry. Examples are provided.

KW - Observability

KW - Biological system modeling

KW - Algebra

KW - Nonlinear systems

KW - Switches

KW - Trajectory

UR - http://www.scopus.com/inward/record.url?scp=85010780444&partnerID=8YFLogxK

U2 - 10.1109/CDC.2016.7799151

DO - 10.1109/CDC.2016.7799151

M3 - Conference contribution

AN - SCOPUS:85010780444

SP - 5738

EP - 5743

BT - Proceedings 2016 IEEE 55th Conference on Decision and Control (CDC)

A2 - Bullo, Francesco

A2 - Prieur, Christophe

A2 - Giua, Alessandro

PB - IEEE

CY - Piscataway, NJ

T2 - 55th IEEE Conference on Decision and Control, CDC 2016

Y2 - 12 December 2016 through 14 December 2016

ER -

Observability reduction algorithm for rational systems

Abstract

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this