Linear switched systems with restrictions

18.03.2024 15:00 - 16:30

Thomas Mejstrik (University of Vienna)

We discuss the stability of continuous-time linear switching systems with constraints on their switching behaviour. We show that its Lyapunov exponent is approximated with second order with respect to the discretization step length,whenever there is a minimum length for each switching interval. It is known that without this restriction the approximation rate is known to be linear.

Furthermore we show how to numerically assess the stability. Our method is efficient for dimensions up to approximately ten, for positive systems up to several hundreds.


https://univienna.zoom.us/j/67922750549?pwd=Ulh5L1QxNFhBOC9PUjlVdG9hc0tmUT09

Organiser:
K. Gröchenig and I. Shafkulovska
Location:
SR9 (2nd floor)