23 citations · 72 across the 27 of their papers we have counts for
5 papers · 1 filter
Resonance and marginal instability of switching systems
Vladimir Y. Protasov, Raphael M. Jungers
We analyse the so-called Marginal Instability of linear switching systems, both in continuous and discrete time. This is a phenomenon of unboundedness of trajectories when the Lyap…
Matrix semigroups with constant spectral radius
Vladimir Protasov, Andrey Voynov
Multiplicative matrix semigroups with constant spectral radius (c.s.r.) are studied and applied to several problems of algebra, combinatorics, functional equations, and dynamical s…
Stability of linear switching systems and Markov-Bernstein inequalities for exponents
Vladimir Yu. Protasov, Raphael M. Jungers
We analyse the problem of stability of a continuous time linear switching system (LSS) versus the stability of its Euler discretization. It is well-known that the existence of a po…
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…
Regularity of Non-Stationary Multivariate Subdivision
Maria Charina, Costanza Conti, Nicola Guglielmi +1
In this paper, we study scalar multivariate non-stationary subdivision schemes with integer dilation matrix M=mI, m >=2, and present a general approach for checking their convergen…