On the computation of Lyapunov functions for interconnected systems

Christoffer Sloth*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-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.

Original languageEnglish
Title of host publication2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Part of 2016 IEEE Multi-Conference on Systems and Control
Number of pages6
Volume2016-October
PublisherIEEE
Publication date19. Oct 2016
Pages850-855
Article number7602545
ISBN (Electronic)9781509007592
DOIs
Publication statusPublished - 19. Oct 2016
Externally publishedYes
Event2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Buenos Aires, Argentina
Duration: 19. Sep 201622. Sep 2016

Conference

Conference2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016
Country/TerritoryArgentina
CityBuenos Aires
Period19/09/201622/09/2016

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