57 citations · 121 across the 25 of their papers we have counts for
5 papers · 1 filter
On the existence and approximation of a dissipating feedback
Nicola Guglielmi, Valeria Simoncini
Given a matrix and a tall rectangular matrix , , we consider the problem of making the pair dissipative, that is the dete…
Barabanov norms, Lipschitz continuity and monotonicity for the max algebraic joint spectral radius
Nicola Guglielmi, Oliver Mason, Fabian Wirth
We present several results describing the interplay between the max algebraic joint spectral radius (JSR) for compact sets of matrices and suitably defined matrix norms. In particu…
Approximating the Real Structured Stability Radius with Frobenius Norm Bounded Perturbations
Nicola Guglielmi, Mert Gurbuzbalaban, Tim Mitchell +1
We propose a fast method to approximate the real stability radius of a linear dynamical system with output feedback, where the perturbations are restricted to be real valued and bo…
Lifted polytope methods for stability analysis of switching systems
Raphael M. Jungers, Nicola Guglielmi, Antonio Cicone
We describe new methods for deciding the stability of switching systems. The methods build on two ideas previously appeared in the literature: the polytope norm iterative construct…
Exact computation of joint spectral characteristics of linear operators
Nicola Guglielmi, Vladimir Protasov
We address the problem of the exact computation of two joint spectral characteristics of a family of linear operators, the joint spectral radius (in short JSR) and the lower spectr…