2 citations · 3 across the 6 of their papers we have counts for
6 papers
Autopolar conic bodies and polyhedra
Maxim Makarov, Vladimir Yu. Protasov
An antinorm is a concave analogue of a norm. In contrast to norms, antinorms are not defined on the entire space but on a cone . They are applied in the matrix…
Stability under dwell time constraints: Discretization revisited
Thomas Mejstrik, Vladimir Yu. Protasov
We decide the stability and compute the Lyapunov exponent of continuous-time linear switching systems with a guaranteed dwell time. The main result asserts that the discretization…
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…
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…
Overlap-free words and spectra of matrices
Raphael M. Jungers, Vladimir Y. Protasov, Vincent D. Blondel
Overlap-free words are words over the binary alphabet that do not contain factors of the form , where and . We analyze the asymptotic growt…