7 citations · 12 across the 21 of their papers we have counts for
26 papers
Properties of a random Cantor set with overlaps
Anna Chiara Lai, Paola Loreti
We study the topology and the Hausdorff dimension of a random Cantor set with overlaps, generated by an iterated function system with scaling ratio equal to the Golden Mean. The re…
Gap estimates for the spectrum of -bonacci numbers
Anna Chiara Lai, Paola Loreti
We establish some results on the structure of the spectrum of -bonacci numbers. More precisely, we study explicit lower bounds for the distance between elements separated by …
A converse Lyapunov-type theorem for control systems with regulated cost
Anna Chiara Lai, Monica Motta
Given a nonlinear control system, a target set, a nonnegative integral cost, and a continuous function , we say that the system is globally asymptotically controllable to the ta…
Optimal expansions of Kakeya sequences
Anna Chiara Lai, Paola Loreti
We investigate optimal expansions of Kakeya sequences for the representation of real numbers. Expansions of Kakeya sequences generalize the expansions in non-integer bases and they…
Converse Lyapunov theorems for control systems with unbounded controls
Anna Chiara Lai, Monica Motta
In this paper, we extend well-known relationships between global asymptotic controllability, sample stabilizability, and the existence of a control Lyapunov function to a wide clas…
A dynamic programming approach for controlled fractional SIS models
Simone Cacace, Anna Chiara Lai, Paola Loreti
We investigate a susceptible-infected-susceptible (SIS) epidemic model based on the Caputo-Fabrizio operator. After performing an asymptotic analysis of the system, we study a rela…