Outputs (3)

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

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)
Conference Proceeding
Guiver, C., & Townley, S. (2014). Controllability for positive discrete–time linear systems with positive state. In Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (1387-1394)

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.

Non-dissipative boundary feedback for elastic beams (2010)
Conference Proceeding
Guiver, C., & Opmeer, M. R. (2010). Non-dissipative boundary feedback for elastic beams. In Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010

We show that a non-dissipative feedback that has been shown in the literature to exponentially stabilize an Euler-Bernoulli beam makes a Rayleigh beam and a Timoshenkobeam unstable.