52 citations · 84 across the 13 of their papers we have counts for
8 papers · 1 filter
Gait controllability of length-changing slender microswimmers
Paolo Gidoni, Marco Morandotti, Marta Zoppello
Controllability results of four models of two-link microscale swimmers that are able to change the length of their links are obtained. The problems are formulated in the framework…
Controlling non-controllable scallops
Marta Zoppello, Marco Morandotti, Hermes Bloomfield-Gadêlha
Any swimmer embedded on a inertialess fluid must perform a non-reciprocal motion to swim forward. The archetypal demonstration of this unique motion-constraint was introduced by Pu…
Mean-field and kinetic limit of affine control systems: optimal control through leaders
Marta Zoppello
This paper studies a multi-agent system starting from a single agent dynamics which is a nonlinear affine control system. It analyze what happens when the number of agents goes to…
The -link swimmer in three dimensions: controllability and optimality results
Roberto Marchello, Marco Morandotti, Henry Shum +1
The controllability of a fully three-dimensional -link swimmer is studied. After deriving the equations of motion in a low Reynolds number fluid by means of Resistive Force Theo…
A hybrid differential game with switching thermostatic-type dynamics and cost
Fabio Bagagiolo, Rosario Maggistro, Marta Zoppello
In this paper we consider an infinite horizon zero-sum differential game where the dynamics of each player and the running cost are also depending on the evolution of some discrete…
Optimal motion of a scallop: some case studies
Rosario Maggistro, Marta Zoppello
In this paper we focus on a two-link swimmer called scallop which moves changing dynamics between two fluids regimes. We address and solve explicitly two optimal control problems,…
A differential game with exit costs
Fabio Bagagiolo, Rosario Maggistro, Marta Zoppello
We study a differential game where two players separately control their own dynamics, pay a running cost, and moreover pay an exit cost (quitting the game) when they leave a fixed…
Optimal Design for Purcell Three-link Swimmer
Laetitia Giraldi, Pierre Martinon, Marta Zoppello
In this paper we address the question of the optimal design for the Purcell 3-link swim-mer. More precisely we investigate the best link length ratio which maximizes its displace-m…