Abstract: Switched systems – systems that can switch between several different modes of operation – are ubiquitous in the world around us. Mathematical models that incorporate switching between several subsystems have numerous applications in many disciplines of science.
The stability analysis of switched systems is attracting considerable interest from both the computer science and control engineering communities.
The talk is a self-contained overview of two methods for the stability analysis of switched systems under arbitrary switching; one based on variational principles and the second on Lie-algebraic tools.
Joint work with Daniel Liberzon (University of Illinois at Urbana-Champaign) and Michael S. Branicky (Case Western Reserve University).