papers
Publications (2)
math.DS2016
Stability of discrete-time switching systems with constrained switching sequences
Matthew Philippe, Ray Essick, Geir Dullerud +1
We introduce a novel framework for the stability analysis of discrete-time linear switching systems with switching sequences constrained by an automaton. The key element of the fra…
math.DS2016
Extremal storage functions and minimal realizations of discrete-time linear switching systems
Matthew Philippe, Ray Essick, Geir Dullerud +1
We study the induced gain of discrete-time linear switching systems with graph-constrained switching sequences. We first prove that, for stable systems in a minimal…