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 language | English |
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| Title of host publication | Computer Aided Control System Design (CACSD), 2016 IEEE Conference on |
| Publisher | IEEE |
| Publication date | 2016 |
| Pages | 850 - 855 |
| ISBN (Electronic) | 978-1-5090-0759-2 |
| DOIs | |
| Publication status | Published - 2016 |
| Event | IEEE Multi-Conference on Systems and Control 2016 - Buenos Aires, Argentina Duration: 19 Sept 2016 → 22 Sept 2016 http://www.msc2016.org/ |
Conference
| Conference | IEEE Multi-Conference on Systems and Control 2016 |
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| Country/Territory | Argentina |
| City | Buenos Aires |
| Period | 19/09/2016 → 22/09/2016 |
| Internet address |