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^*

^*Kontaktforfatter

Aalborg Universitet

Publikation: Kapitel i bog/rapport/konference-proceeding › Konferencebidrag i proceedings › Forskning › peer review

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	2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Part of 2016 IEEE Multi-Conference on Systems and Control
Antal sider	6
Vol/bind	2016-October
Forlag	IEEE
Publikationsdato	19. okt. 2016
Sider	850-855
Artikelnummer	7602545
ISBN (Elektronisk)	9781509007592
DOI	https://doi.org/10.1109/CACSD.2016.7602545
Status	Udgivet - 19. okt. 2016
Udgivet eksternt	Ja
Begivenhed	2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Buenos Aires, Argentina Varighed: 19. sep. 2016 → 22. sep. 2016

Konference

Konference	2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016
Land/Område	Argentina
By	Buenos Aires
Periode	19/09/2016 → 22/09/2016

Dokumenter og links

10.1109/CACSD.2016.7602545

Citationsformater

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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",

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day = "19",

doi = "10.1109/CACSD.2016.7602545",

language = "English",

volume = "2016-October",

pages = "850--855",

booktitle = "2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Part of 2016 IEEE Multi-Conference on Systems and Control",

publisher = "IEEE",

address = "United States",

note = "2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 ; Conference date: 19-09-2016 Through 22-09-2016",

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Sloth, C 2016, On the computation of Lyapunov functions for interconnected systems. i 2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Part of 2016 IEEE Multi-Conference on Systems and Control. bind 2016-October, 7602545, IEEE, s. 850-855, 2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016, Buenos Aires, Argentina, 19/09/2016. https://doi.org/10.1109/CACSD.2016.7602545

On the computation of Lyapunov functions for interconnected systems. / Sloth, Christoffer.
2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Part of 2016 IEEE Multi-Conference on Systems and Control. Bind 2016-October IEEE, 2016. s. 850-855 7602545.

Publikation: Kapitel i bog/rapport/konference-proceeding › Konferencebidrag i proceedings › Forskning › peer review

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AU - Sloth, Christoffer

PY - 2016/10/19

Y1 - 2016/10/19

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 proceedings

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VL - 2016-October

SP - 850

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BT - 2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Part of 2016 IEEE Multi-Conference on Systems and Control

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ER -

On the computation of Lyapunov functions for interconnected systems

Abstract

Konference

Dokumenter og links

Fingeraftryk

Citationsformater