Giovanni Colombo
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View article: Penalization and Necessary Optimality Conditions for a Class of Nonsmooth Sweeping Processes
Penalization and Necessary Optimality Conditions for a Class of Nonsmooth Sweeping Processes Open
In this paper we derive necessary optimality conditions for a Mayer problem involving a controlled sweeping process characterized by a moving set which is merely locally prox-regular (not necessarily smooth) and satisfies a constraint qual…
View article: New Trends in Optimization, Control, and Their Applications: Guest Editorial
New Trends in Optimization, Control, and Their Applications: Guest Editorial Open
View article: Neighboring feasible trajectories and value functions for state constrained control problems
Neighboring feasible trajectories and value functions for state constrained control problems Open
The inward pointing condition (IPC) for a control system whose state x is constrained in a smooth set C requires that at each point of the boundary of C the intersection between the dynamics and the interior of the tangent cone of C at x b…
View article: Discovery of 118 New Ultracool Dwarf Candidates Using Machine Learning Techniques
Discovery of 118 New Ultracool Dwarf Candidates Using Machine Learning Techniques Open
We present the discovery of 118 new ultracool dwarf candidates, discovered using a new machine learning tool, named \texttt{SMDET}, applied to time series images from the Wide-field Infrared Survey Explorer. We gathered photometric and ast…
View article: Optimal control of perturbed sweeping processes with applications to general robotics models
Optimal control of perturbed sweeping processes with applications to general robotics models Open
This paper primarily focuses on the practical applications of optimal control theory for perturbed sweeping processes within the realm of robotics dynamics. By describing these models as controlled sweeping processes with pointwise control…
View article: Discontinuous solutions to the hamilton jacobi equation under second order interiority hypotheses
Discontinuous solutions to the hamilton jacobi equation under second order interiority hypotheses Open
This paper concerns the characterization of a lower semicontinuous value function in terms of the unique generalized solution of the Hamilton Jacobi equation (HJE), for optimal control problems with end point and pathwise state constraints…
View article: Discrete Approximations and Optimality Conditions for Controlled Free-Time Sweeping Processes
Discrete Approximations and Optimality Conditions for Controlled Free-Time Sweeping Processes Open
The paper is devoted to the study of a new class of optimal control problems governed by discontinuous constrained differential inclusions of the sweeping type with involving the duration of the dynamic process into optimization. We develo…
View article: State constrained control problems, Lie Brackets, and rotational strategies
State constrained control problems, Lie Brackets, and rotational strategies Open
The classical inward pointing condition (IPC) for a control system whose state $x$ is constrained in the closure $C:=\bar\Omega$ of an open set $\Omega$ prescribes that at each point of the boundary $x\in \partial \Omega$ the intersection …
View article: Rotational controls and uniqueness of constrained viscosity solutions of Hamilton-Jacobi PDE
Rotational controls and uniqueness of constrained viscosity solutions of Hamilton-Jacobi PDE Open
The classical inward pointing condition (IPC) for a control system whose state $x$ is constrained in the closure $C:=\barΩ$ of an open set $Ω$ prescribes that at each point of the boundary $x\in \partial Ω$ the intersection between the dyn…
View article: Rotational controls and uniqueness of constrained viscosity solutions of\n Hamilton-Jacobi PDE
Rotational controls and uniqueness of constrained viscosity solutions of\n Hamilton-Jacobi PDE Open
The classical inward pointing condition (IPC) for a control system whose\nstate $x$ is constrained in the closure $C:=\\bar\\Omega$ of an open set $\\Omega$\nprescribes that at each point of the boundary $x\\in \\partial \\Omega$ the\ninte…
View article: Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction
Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction Open
We study the asymptotic stability of periodic solutions for sweeping processes defined by a polyhedron with translationally moving faces. Previous results are improved by obtaining a stronger convergence. Then we present an application to…
View article: A sustainable model for small towns and peripheral communities: converging elements and qualitative analysis
A sustainable model for small towns and peripheral communities: converging elements and qualitative analysis Open
View article: Optimization of fully controlled sweeping processes
Optimization of fully controlled sweeping processes Open
View article: Stabilization of periodic sweeping processes and asymptotic average\n velocity for soft locomotors with dry friction
Stabilization of periodic sweeping processes and asymptotic average\n velocity for soft locomotors with dry friction Open
We study the asymptotic stability of periodic solutions for sweeping\nprocesses defined by a polyhedron with translationally moving faces. Previous\nresults are improved by obtaining a stronger $W^{1,2}$ convergence. Then we\npresent an ap…
View article: On the optimal control of rate-independent soft crawlers
On the optimal control of rate-independent soft crawlers Open
Existence of optimal solutions and necessary optimality conditions for a controlled version of Moreau's sweeping process are derived. The control is a measurable ingredient of the dynamics and the constraint set is a polyhedron. The novelt…
View article: Optimization of Fully Controlled Sweeping Processes
Optimization of Fully Controlled Sweeping Processes Open
The paper is devoted to deriving necessary optimality conditions in a general optimal control problem for dynamical systems governed by controlled sweeping processes with hard-constrained control actions entering both polyhedral moving set…
View article: On the optimal control of rate-independent soft crawlers
On the optimal control of rate-independent soft crawlers Open
View article: Optimization and Discrete Approximation of Sweeping Processes with Controlled Moving Sets and Perturbations
Optimization and Discrete Approximation of Sweeping Processes with Controlled Moving Sets and Perturbations Open
This paper addresses a new class of optimal control problems for perturbed sweeping processes with measurable controls in additive perturbations of the dynamics and smooth controls in polyhedral moving sets. We develop a constructive discr…
View article: Optimization of a Perturbed Sweeping Process by Constrained Discontinuous Controls
Optimization of a Perturbed Sweeping Process by Constrained Discontinuous Controls Open
This paper deals with optimal control problems described by a controlled version of Moreau's sweeping process governed by convex polyhedra, where measurable control actions enter additive perturbations. This class of problems, which addres…
View article: Optimal Control of Sweeping Processes in Robotics and Traffic Flow Models
Optimal Control of Sweeping Processes in Robotics and Traffic Flow Models Open
View article: Optimal Control of Sweeping Processes in Robotics and Traffic Flow Models
Optimal Control of Sweeping Processes in Robotics and Traffic Flow Models Open
The paper is mostly devoted to applications of a novel optimal control theory for perturbed sweeping/Moreau processes to two practical dynamical models. The first model addresses mobile robot dynamics with obstacles, and the second one con…
View article: Optimization of a perturbed sweeping process by constrained discontinuous controls
Optimization of a perturbed sweeping process by constrained discontinuous controls Open
This paper deals with optimal control problems described by a controlled version of Moreau's sweeping process governed by convex polyhedra, where measurable control actions enter additive perturbations. This class of problems, which addres…
View article: Necessary conditions for a nonclassical control problem with state constraints
Necessary conditions for a nonclassical control problem with state constraints Open
View article: A Maximum Principle for the Controlled Sweeping Process
A Maximum Principle for the Controlled Sweeping Process Open
View article: A Maximum Principle for the controlled Sweeping Process
A Maximum Principle for the controlled Sweeping Process Open
We consider the free endpoint Mayer problem for a controlled Moreau process, the control acting as a perturbation of the dynamics driven by the normal cone, and derive necessary optimality conditions of Pontryagin's Maximum Principle type.…
View article: Optimal control of the sweeping process over polyhedral controlled sets
Optimal control of the sweeping process over polyhedral controlled sets Open
View article: Higher order discrete controllability and the approximation of the minimum time function
Higher order discrete controllability and the approximation of the minimum time function Open
We give sufficient conditions to reach a target for a suitable discretization of a control affine nonlinear dynamics.Such conditions involve higher order Lie brackets of the vector fields driving the state and so the discretization methodn…