2015/09/13 by Yacine Chitour, Paolo Mason, Chitour, Yacine +3
Engineering · #Control and Stability of Dynamical Systems #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #Stability and Controllability of Differential Equations
paper · doi:10.48550/arxiv.1509.03818
openalex publication_date 2015/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Motivated by an open problem posed by J.P. Hespanha, we extend the notion of Barabanov norm and extremal trajectory to classes of switching signals that are not closed under concatenation. We use these tools to prove that the finiteness of the L2-gain is equivalent, for a large set of switched linear control systems, to the condition that the generalized spectral radius associated with any minimal realization of the original switched system is smaller than one.