On the Computation of Lyapunov Functions for Interconnected Systems

Christoffer Sloth

doi:10.1109/CACSD.2016.7602545

On the Computation of Lyapunov Functions for Interconnected Systems

Christoffer Sloth

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

3 Citationer (Scopus)

Abstract

This paper addresses the computation of additively separable Lyapunov functions for interconnected systems. The presented results can be applied to reduce the complexity of the computations associated with stability analysis of large scale systems. We provide a necessary and sufficient condition for the existence of an additively separable Lyapunov function; subsequently, sparsity conditions are given for finding additively separable polynomial Lyapunov functions for both local and global stability of polynomial systems.

Originalsprog	Engelsk
Titel	Computer Aided Control System Design (CACSD), 2016 IEEE Conference on
Forlag	IEEE
Publikationsdato	2016
Sider	850 - 855
ISBN (Elektronisk)	978-1-5090-0759-2
DOI	https://doi.org/10.1109/CACSD.2016.7602545
Status	Udgivet - 2016
Begivenhed	IEEE Multi-Conference on Systems and Control 2016 - Buenos Aires, Argentina Varighed: 19 sep. 2016 → 22 sep. 2016 http://www.msc2016.org/

Konference

Konference	IEEE Multi-Conference on Systems and Control 2016
Land/Område	Argentina
By	Buenos Aires
Periode	19/09/2016 → 22/09/2016
Internetadresse	http://www.msc2016.org/

Adgang til dokumentet

10.1109/CACSD.2016.7602545

AUB Link

Søg efter materialet i Aalborg Universitetsbiblioteks søgemaskine

Citationsformater

@inproceedings{6a7cc4f02a6142589f1e7b5c687fd98a,

title = "On the Computation of Lyapunov Functions for Interconnected Systems",

abstract = "This paper addresses the computation of additively separable Lyapunov functions for interconnected systems. The presented results can be applied to reduce the complexity of the computations associated with stability analysis of large scale systems. We provide a necessary and sufficient condition for the existence of an additively separable Lyapunov function; subsequently, sparsity conditions are given for finding additively separable polynomial Lyapunov functions for both local and global stability of polynomial systems.",

author = "Christoffer Sloth",

year = "2016",

doi = "10.1109/CACSD.2016.7602545",

language = "English",

pages = "850 -- 855",

booktitle = "Computer Aided Control System Design (CACSD), 2016 IEEE Conference on",

publisher = "IEEE",

address = "United States",

note = "IEEE Multi-Conference on Systems and Control 2016, MSC 2016 ; Conference date: 19-09-2016 Through 22-09-2016",

url = "http://www.msc2016.org/",

}

TY - GEN

T1 - On the Computation of Lyapunov Functions for Interconnected Systems

AU - Sloth, Christoffer

PY - 2016

Y1 - 2016

N2 - This paper addresses the computation of additively separable Lyapunov functions for interconnected systems. The presented results can be applied to reduce the complexity of the computations associated with stability analysis of large scale systems. We provide a necessary and sufficient condition for the existence of an additively separable Lyapunov function; subsequently, sparsity conditions are given for finding additively separable polynomial Lyapunov functions for both local and global stability of polynomial systems.

AB - This paper addresses the computation of additively separable Lyapunov functions for interconnected systems. The presented results can be applied to reduce the complexity of the computations associated with stability analysis of large scale systems. We provide a necessary and sufficient condition for the existence of an additively separable Lyapunov function; subsequently, sparsity conditions are given for finding additively separable polynomial Lyapunov functions for both local and global stability of polynomial systems.

U2 - 10.1109/CACSD.2016.7602545

DO - 10.1109/CACSD.2016.7602545

M3 - Article in proceeding

SP - 850

EP - 855

BT - Computer Aided Control System Design (CACSD), 2016 IEEE Conference on

PB - IEEE

T2 - IEEE Multi-Conference on Systems and Control 2016

Y2 - 19 September 2016 through 22 September 2016

ER -

On the Computation of Lyapunov Functions for Interconnected Systems

Abstract

Konference

Adgang til dokumentet

AUB Link

Fingeraftryk

Citationsformater