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20132025
most citedA solution of the minimum-time velocity planning problem based on lattice theory

10 citations · 55 across the 19 of their papers we have counts for

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11 papers · 1 filter

math.OC2025

Hidden convexity property of a speed planning problem

Stefano Ardizzoni, Luca Consolini, Mattia Laurini +1

In this paper we address the speed planning problem for a vehicle along a predefined path. A weighted average of two (conflicting) terms, energy consumption and travel time, is min…

math.OC2025

Speed planning by minimizing travel time and energy consumption

Stefano Ardizzoni, Luca Consolini, Mattia Laurini +1

In this paper we address the speed planning problem for a vehicle over an assigned path with the aim of minimizing a weighted sum of travel time and energy consumption under suitab…

math.OC2024

Identification of Cyclists' Route Choice Criteria

Stefano Ardizzoni, Mattia Laurini, Rafael Praxedes +2

The behavior of cyclists when choosing the path to follow along a road network is not uniform. Some of them are mostly interested in minimizing the travelled distance, but some oth…

math.OC2023

Is time-optimal speed planning under jerk constraints a convex problem?

Luca Consolini, Marco Locatelli

We consider the speed planning problem for a vehicle moving along an assigned trajectory, under maximum speed, tangential and lateral acceleration, and jerk constraints. The proble…

math.OC2023★ 5 cited

Local Optimization of MAPF solutions on Directed Graphs

S. Ardizzoni, I. Saccani, L. Consolini +1

Among sub-optimal MAPF solvers, rule-based algorithms are particularly appealing since they are complete. Even in crowded scenarios, they allow finding a feasible solution that bri…

math.OC2021

Sharp and fast bounds for the Celis-Dennis-Tapia problem

Luca Consolini, Marco Locatelli

In the Celis-Dennis-Tapia (CDT) problem a quadratic function is minimized over a region defined by two strictly convex quadratic constraints. In this paper we re-derive a necessary…

math.OC2020

Structured identification for network reconstruction of RC-models

Gabriele Calzavara, Luca Consolini, Juxhino Kavaja

Resistive-capacitive (RC) networks are used to model various processes in engineering, physics or biology. We consider the problem of recovering the network connection structure fr…

math.OC2018★ 5 cited

Graph-based algorithms for the efficient solution of a class of optimization problems

Luca Consolini, Mattia Laurini, Marco Locatelli

In this paper, we address a class of specially structured problems that include speed planning, for mobile robots and robotic manipulators, and dynamic programming. We develop two…

math.OC2018★ 10 cited

A solution of the minimum-time velocity planning problem based on lattice theory

Luca Consolini, Mattia Laurini, Marco Locatelli +1

For a vehicle on an assigned path, we find the minimum-time speed law that satisfies kinematic and dynamic constraints, related to maximum speed and maximum tangential and transver…

math.OC2017★ 9 cited

A coordinate-free theory of virtual holonomic constraints

Luca Consolini, Alessandro Costalunga, Manfredi Maggiore

This paper presents a coordinate-free formulation of virtual holonomic constraints for underactuated Lagrangian control systems on Riemannian manifolds. It is shown that when a vir…

math.OC2013★ 1 cited

Control of a Bicycle Using Virtual Holonomic Constraints

Luca Consolini, Manfredi Maggiore

The paper studies the problem of making Getz's bicycle model traverse a strictly convex Jordan curve with bounded roll angle and bounded speed. The approach to solving this problem…