A stability/instability trichotomy for non-negative Lur'e systems

Research Output

We identify a stability/instability trichotomy for a class of non-negative continuous-time Lur'e systems. Asymptotic as well as input-to-state stability concepts (ISS) are considered. The presented trichotomy rests on Perron-Frobenius theory, absolute stability theory and recent ISS results for Lur'e systems.

Date:

31 December 2014
Publication Status:

Published
Funders:

Historic Funder (pre-Worktribe)

http://researchrepository.napier.ac.uk/output/2677400 <p>Bill, A., Guiver, C., Logemann, H., & Townley, S. (2014). A stability/instability trichotomy for non-negative Lur'e systems. In <i>Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems</i>. , (1752-1754)</p>

Citation

Bill, A., Guiver, C., Logemann, H., & Townley, S. (2014). A stability/instability trichotomy for non-negative Lur'e systems. In Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. , (1752-1754)