All Outputs (2)

A stability/instability trichotomy for non-negative Lur'e systems (2014)
Presentation / Conference Contribution
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

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, absolut... Read More about A stability/instability trichotomy for non-negative Lur'e systems.

Controllability for positive discrete–time linear systems with positive state (2014)
Presentation / Conference Contribution
Guiver, C., & Townley, S. (2014, July). Controllability for positive discrete–time linear systems with positive state. Presented at The 21st International Symposium on Mathematical Theory of Networks and Systems, Groningen, The Netherlands

Controllability of componentwise nonnegative discrete-time linear systems is considered. The key difference here from the well-established positive systems theory is that we permit the case where the input takes negative values, provided that the sta... Read More about Controllability for positive discrete–time linear systems with positive state.