69 citations · 174 across the 18 of their papers we have counts for
20 papers
A Basic Mechanical and Geometric Framework for Quasi-Static Manipulation
Domenico Campolo, Franco Cardin
In this work, we propose a geometric framework for analyzing mechanical manipulation, for instance, by a robotic agent. Under the assumption of conservative forces and quasi-static…
A new mathematical model for brain memory working. Optimal control behavior for Hopfield networks
Franco Cardin, Alberto Lovison, Amos Maritan +1
Recent works have highlighted the need for a new dynamical paradigm in the modeling of brain function and evolution. Specifically, these models should incorporate non-constant and…
On the Pontryagin Maximum Principle under differential constraints of higher order
Franco Cardin, Cristina Giannotti, Andrea Spiro
Exploiting our previous results on higher order controlled Lagrangians in [Nonlinear Anal. {\bf 207} (2021), 112263], we derive here an analogue of the classical first order Pontry…
Control problems with differential constraints of higher order
Franco Cardin, Cristina Giannotti, Andrea Spiro
We consider cost minimising control problems, in which the dynamical system is constrained by higher order differential equations of Euler-Lagrange type. Following ideas from a pre…
Physarum Dynamics and Optimal Transport for Basis Pursuit
Enrico Facca, Franco Cardin, Mario Putti
We study the connections between Physarum Dynamics and Dynamic Monge Kantorovich (DMK) Optimal Transport algorithms for the solution of Basis Pursuit problems. We show the equivale…
Pontryagin Maximum Principle and Stokes Theorem
Franco Cardin, Andrea Spiro
We present a new geometric unfolding of a prototype problem of optimal control theory, the Mayer problem. This approach is crucially based on the Stokes Theorem and yields to a nec…