Abstract
We provide an example proving that there exists no quadratic Lyapunov function for a certain class of linear agreement/consensus algorithms, a fact that had been numerically verified in [6]. We also briefly discuss sufficient conditions for the existence of such a Lyapunov function.
Original language | English (US) |
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Pages (from-to) | 2642-2645 |
Number of pages | 4 |
Journal | IEEE Transactions on Automatic Control |
Volume | 53 |
Issue number | 11 |
DOIs | |
State | Published - 2008 |
Externally published | Yes |
Keywords
- Consensus algorithms
- Multi agent systems
- Multi-agent systems
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering