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20092022
most citedEffects of fractional derivatives in epidemic models

2 citations · 2 across the 6 of their papers we have counts for

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8 papers · 1 filter

math.OC2021

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…

math.OC20212 cited

Effects of fractional derivatives in epidemic models

Caterina Balzotti, Mirko D'Ovidio, Anna Chiara Lai +1

We study epidemic Susceptible-Infected-Susceptible models in the fractional setting. The novelty is to consider models in which the susceptible and infected populations evolve acco…

math.OC2021

Solutions of Bernoulli equations in the fractional setting

Mirko D'Ovidio, Anna Chiara Lai, Paola Loreti

We present a general series representation formula for the local solution of Bernoulli equation with Caputo fractional derivatives. We then focus on a generalization of the fractio…

math.OC2021

Constrained reachability problems for a planar manipulator

Simone Cacace, Anna Chiara Lai, Paola Loreti

We address an optimal reachability problem for a planar manipulator in a constrained environment. After introducing the optmization problem in full generality, we practically embed…

math.OC2020

Optimal reachability and grasping for a soft manipulator

Simone Cacace, Anna Chiara Lai, Paola Loreti

We investigate optimal reachability and grasping problems for a planar soft manipulator, from both a theoretical and numerical point of view. The underlying control model describes…

math.OC2018

Modeling and Optimal Control of an Octopus Tentacle

Simone Cacace, Anna Chiara Lai, Paola Loreti

We present a control model for an octopus tentacle, based on the dynamics of an inextensible string with curvature constraints and curvature controls. We derive the equations of mo…