On the computation of Lyapunov functions for interconnected systems

Christoffer Sloth*

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Abstrakt

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.

OriginalsprogEngelsk
Titel2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Part of 2016 IEEE Multi-Conference on Systems and Control
Antal sider6
Vol/bind2016-October
ForlagIEEE
Publikationsdato19. okt. 2016
Sider850-855
Artikelnummer7602545
ISBN (Elektronisk)9781509007592
DOI
StatusUdgivet - 19. okt. 2016
Udgivet eksterntJa
Begivenhed2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Buenos Aires, Argentina
Varighed: 19. sep. 201622. sep. 2016

Konference

Konference2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016
Land/OmrådeArgentina
ByBuenos Aires
Periode19/09/201622/09/2016

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