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In this paper, we present a communication-free algorithm for distributed coverage of an arbitrary network by a group of mobile agents with local sensing capabilities. The network is represented as a graph, and the agents are arbitrarily…

系统与控制 · 计算机科学 2016-02-01 A. Yasin Yazicioglu , Magnus Egerstedt , Jeff S. Shamma

In the present work we deal with the existence of solutions for optimal control problems associated to transport equations. The behaviour of a population of individuals will be influenced by the presence of a population of control agents…

偏微分方程分析 · 数学 2022-05-19 S. Fagioli , A. Kaufmann , E. Radici

In this chapter, we focus on the problem of containing the spread of diseases taking place in both temporal and adaptive networks (i.e., networks whose structure `adapts' to the state of the disease). We specifically focus on the problem of…

社会与信息网络 · 计算机科学 2019-03-19 Masaki Ogura , Victor M. Preciado

In this paper, we consider the problem of distributed optimal control of linear dynamical systems with a quadratic cost criterion. We study the case of output feedback control for two interconnected dynamical systems, and show that the…

最优化与控制 · 数学 2012-04-18 Ather Gattami , Omid Khorsand

In recent papers it has been suggested that human locomotion may be modeled as an inverse optimal control problem. In this paradigm, the trajectories are assumed to be solutions of an optimal control problem that has to be determined. We…

最优化与控制 · 数学 2010-07-26 Yacine Chitour , Frédéric Jean , Paolo Mason

We propose a novel framework to study viral spreading processes in metapopulation models. Large subpopulations (i.e., cities) are connected via metalinks (i.e., roads) according to a metagraph structure (i.e., the traffic infrastructure).…

物理与社会 · 物理学 2013-08-20 Victor M. Preciado , Michael Zargham

In this paper we provide optimal control based strategies to explore the dynamic capabilities of a single-track car model which includes tire models and longitudinal load transfer. Using an explicit formulation of the holonomic constraints…

最优化与控制 · 数学 2015-03-19 Alessandro Rucco , Giuseppe Notarstefano , John Hauser

We study minimum-variance feedback-control design for a networked control system with retarded dynamics, where inter-agent communication is subject to latency. We prove that such a design can be solved efficiently for circular formations…

系统与控制 · 电气工程与系统科学 2025-03-04 Luca Ballotta , Mihailo R. Jovanović , Luca Schenato

We study the problem of a policymaker who aims at taming the spread of an epidemic while minimizing its associated social costs. The main feature of our model lies in the fact that the disease's transmission rate is a diffusive stochastic…

最优化与控制 · 数学 2020-11-04 Salvatore Federico , Giorgio Ferrari

Motivated by the applications, a class of optimal control problems is investigated, where the goal is to influence the behavior of a given population through another controlled one interacting with the first. Diffusive terms accounting for…

最优化与控制 · 数学 2023-03-10 Stefano Almi , Marco Morandotti , Francesco Solombrino

This paper focuses on a model for opinion dynamics, where the influence weights of agents evolve in time. We formulate a control problem of consensus type, in which the objective is to drive all agents to a final target point under suitable…

偏微分方程分析 · 数学 2020-11-10 Nastassia Duteil , Benedetto Piccoli

The aim of this paper is to study the derivation of appropriate meso- and macroscopic models for interactions as appearing in social processes. There are two main characteristics the models take into account, namely a network structure of…

偏微分方程分析 · 数学 2020-06-30 Martin Burger

I study the spreading of infectious diseases on heterogeneous populations. I represent the population structure by a contact-graph where vertices represent agents and edges represent disease transmission channels among them. The population…

种群与进化 · 定量生物学 2009-11-13 Alexei Vazquez

Muscle force sharing is typically resolved by minimizing a specific objective function to approximate neural control strategies. An inverse optimal control approach was applied to identify the "best" objective function, among a positive…

医学物理 · 物理学 2025-10-21 Filip Bečanović , Vincent Bonnet , Kosta Jovanović , Samer Mohammed , Raphaël Dumas

We propose a mathematical spatiotemporal epidemic SICA model with a control strategy. The spatial behavior is modeled by adding a diffusion term with the Laplace operator, which is justified and interpreted both mathematically and…

最优化与控制 · 数学 2022-07-12 Houssine Zine , Abderrahim El Adraoui , Delfim F. M. Torres

The effectiveness of collective navigation of biological or artificial agents requires to accommodate for contrasting requirements, such as staying in a group while avoiding close encounters and at the same time limiting the energy…

统计力学 · 物理学 2021-08-06 Francesco Borra , Massimo Cencini , Antonio Celani

A model based on a thermodynamic approach is proposed for predicting the dynamics of communicable epidemics in a city, when the epidemic is governed by controlling efforts of multiple scales so that an entropy is associated with the system.…

医学物理 · 物理学 2013-10-01 W. B. Wang , Z. N. Wu , Z. M. Cao , R. F. Hu

Effective epidemic control is crucial for mitigating the spread of infectious diseases, particularly when pharmaceutical interventions such as vaccines or treatments are limited. Non-pharmaceutical strategies, including mobility…

物理与社会 · 物理学 2025-12-03 Deborah Volpe , Giacomo Orlandi , Mattia Boggio , Carlo Novara , Lorenzo Zino , Giovanna Turvani

Random walk is one of the basic mechanisms found in many network applications. We study the epidemic spreading dynamics driven by biased random walks on complex networks. In our epidemic model, each time infected nodes constantly spread…

物理与社会 · 物理学 2015-06-22 Cunlai Pu , Siyuan Li , Jian Yang

In this paper, we propose a Boltzmann-type kinetic description of mass-varying interacting multi-agent systems. Our agents are characterised by a microscopic state, which changes due to their mutual interactions, and by a label, which…

统计力学 · 物理学 2021-10-20 Nadia Loy , Andrea Tosin