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

Bill, Adam; Guiver, Christopher; Logemann, Hartmut; Townley, Stuart

Abstract

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.

Citation

Bill, A., Guiver, C., Logemann, H., & Townley, S. (2014, July). A stability/instability trichotomy for non-negative Lur'e systems. Presented at 21st International Symposium on Mathematical Theory of Networks and Systems, Groningen, The Netherlands

• Presentation Conference Type: Conference Paper (Published)
• Conference Name: 21st International Symposium on Mathematical Theory of Networks and Systems
• Start Date: Jul 7, 2014
• End Date: Jul 11, 2014
• Publication Date: 2014
• Deposit Date: Jul 23, 2020
• Pages: 1752-1754
• Book Title: Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems
• ISBN: 978-90-367-6321-9
• Public URL: http://researchrepository.napier.ac.uk/Output/2677400
• Publisher URL: http://fwn06.housing.rug.nl/mtns2014-papers/extendedAbstracts/0247.pdf