57 citations · 121 across the 25 of their papers we have counts for
6 papers · 1 filter
Nonuniqueness phenomena in discontinuous dynamical systems and their regularizations
Alessia andò, Roderick Edwards, Nicola Guglielmi
In a recent paper by Guglielmi and Hairer (SIADS 2015), an analysis in the limit was proposed of regularized discontinuous ODEs in codimension-2 switching domain…
Identification of Time Delays in COVID-19 Data
Nicola Guglielmi, Elisa Iacomini, Alex Viguerie
COVID-19 data released by public health authorities features the presence of notable time-delays, corresponding to the difference between actual time of infection and identificatio…
Switching systems with dwell time: computation of the maximal Lyapunov exponent
Yacine Chitour, Nicola Guglielmi, Mario Sigalotti +1
We study asymptotic stability of continuous-time systems with mode-dependent guaranteed dwell time. These systems are reformulated as special cases of a general class of mixed (dis…
On the closest stable/unstable nonnegative matrix and related stability radii
Nicola Guglielmi, Vladimir Yu. Protasov
We consider the problem of computing the closest stable/unstable non-negative matrix to a given real matrix. This problem is important in the study of linear dynamical systems, num…
Linear dynamical systems on graphs
Antonio Cicone, Nicola Guglielmi, Vladimir Protasov
We consider linear dynamical systems with a structure of a multigraph. The vertices are associated to linear spaces and the edges correspond to linear maps between those spaces. We…
Polytope Lyapunov functions for stable and for stabilizable LSS
Nicola Guglielmi, Linda Laglia, Vladimir Protasov
We present a new approach for constructing polytope Lyapunov functions for continuous-time linear switching systems (LSS). This allows us to decide the stability of LSS and to comp…