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This paper studies an optimal control problem for an adoption-opinion model that couples innovation adoption with opinion formation on a multilayer network. Adoption spreads through social contagion and perceived benefits, while opinions…

Optimization and Control · Mathematics 2025-11-13 Martina Alutto , Qiulin Xu , Fabrizio Dabbene , Hideaki Ishii , Chiara Ravazzi

Understanding how sustainable behaviors spread within heterogeneous societies requires the integration of behavioral data, social influence mechanisms, and structured approaches to control. In this paper, we propose a data-driven…

Social and Information Networks · Computer Science 2025-11-17 Martina Alutto , Sofia Bellotti , Fabrizio Dabbene , Chiara Ravazzi

In this paper, we present a novel model to characterize individual tendencies in repeated decision-making scenarios, with the goal of designing model-based control strategies that promote virtuous choices amidst social and external…

Systems and Control · Electrical Eng. & Systems 2025-03-06 Chiara Ravazzi , Valentina Breschi , Paolo Frasca , Fabrizio Dabbene , Mara Tanelli

In this paper, we propose a two-layer adoption-opinion model to study the diffusion of two competing technologies within a population whose opinions evolve under social influence and adoption-driven feedback. After adopting one technology,…

Systems and Control · Electrical Eng. & Systems 2026-01-26 Martina Alutto , Fabrizio Dabbene , Angela Fontan , Karl H. Johansson , Chiara Ravazzi

In this work we are interested in the modelling and control of opinion dynamics spreading on a time evolving network with scale-free asymptotic degree distribution. The mathematical model is formulated as a coupling of an opinion alignment…

Optimization and Control · Mathematics 2015-11-03 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

Diffusion models have become popular for policy learning in robotics due to their ability to capture high-dimensional and multimodal distributions. However, diffusion policies are stochastic and typically trained offline, limiting their…

Robotics · Computer Science 2025-05-28 Ralf Römer , Alexander von Rohr , Angela P. Schoellig

We propose Diffusion Model Predictive Control (D-MPC), a novel MPC approach that learns a multi-step action proposal and a multi-step dynamics model, both using diffusion models, and combines them for use in online MPC. On the popular D4RL…

This paper presents a modified model predictive control (MPC) framework for real-time power system operation. The framework incorporates a diffusion model tailored for time series generation to enhance the accuracy of the load forecasting…

Systems and Control · Electrical Eng. & Systems 2025-05-16 Linna Xu , Yongli Zhu

The spread of new products in a networked population is often modeled as an epidemic. However, in the case of `complex' contagion, these models {do not capture nuanced, dynamic social reinforcement effects in adoption behavior}. In this…

Systems and Control · Computer Science 2019-02-15 Sebastian F. Ruf , Keith Paarporn , Philip E. Paré

We study the dynamics of the adoption of new products by agents with continuous opinions and discrete actions (CODA). The model is such that the refusal in adopting a new idea or product is increasingly weighted by neighbor agents as…

Physics and Society · Physics 2009-06-10 Andre C. R. Martins , Carlos de B. Pereira , Renato Vicente

Legged locomotion demands controllers that are both robust and adaptable, while remaining compatible with task and safety considerations. However, model-free reinforcement learning (RL) methods often yield a fixed policy that can be…

Robotics · Computer Science 2025-10-07 Runhan Huang , Haldun Balim , Heng Yang , Yilun Du

The spatial organization of individuals and their interactions in communities are important factors known to preserve diversity in many complex systems. Inspired by metapopulation models from ecology, we study opinion formation using a…

Physics and Society · Physics 2026-05-19 Tim Mauch , Thilo Gross

We investigate convergence properties of a proposed distributed model predictive control (DMPC) scheme, where agents negotiate to compute an optimal consensus point using an incremental subgradient method based on primal decomposition as…

Multiagent Systems · Computer Science 2008-03-03 Tamas Keviczky , Karl Henrik Johansson

Acting in cluttered environments requires predicting and avoiding collisions while still achieving precise control. Conventional optimization-based controllers can enforce physical constraints, but they struggle to produce feasible…

In this paper, we propose a model predictive control (MPC) method for real-time intervention of spreading processes, such as epidemics and wildfire, over large-scale networks. The goal is to allocate budgeted resources each time step to…

Optimization and Control · Mathematics 2022-10-31 Ruigang Wang , Armaghan Zafar , Ian R. Manchester

In distributed model predictive control (MPC), the control input at each sampling time is computed by solving a large-scale optimal control problem (OCP) over a finite horizon using distributed algorithms. Typically, such algorithms require…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Giuseppe Belgioioso , Dominic Liao-McPherson , Mathias Hudoba de Badyn , Nicolas Pelzmann , John Lygeros , Florian Dörfler

This paper presents a mathematical model for opinion dynamics in popularity-adaptive social networks, where both opinion spreading and the evolution of social media contacts depend on agents' popularity and the prominence of their views.…

Optimization and Control · Mathematics 2026-03-04 Giacomo Albi , Elisa Calzola , Matteo Piu

We propose a distributed model predictive control (MPC) framework for coordinating heterogeneous, nonlinear multi-agent systems under individual and coupling constraints. The cooperative task is encoded as a shared objective function…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Matthias Köhler , Matthias A. Müller , Frank Allgöwer

Sampling-based Model Predictive Control (MPC) is a flexible control framework that can reason about non-smooth dynamics and cost functions. Recently, significant work has focused on the use of machine learning to improve the performance of…

Robotics · Computer Science 2022-12-07 Jacob Sacks , Byron Boots

Opinion diffusion is a crucial phenomenon in social networks, often underlying the way in which a collective of agents develops a consensus on relevant decisions. The voter model is a well-known theoretical model to study opinion spreading…

Multiagent Systems · Computer Science 2024-03-14 Luca Becchetti , Vincenzo Bonifaci , Emilio Cruciani , Francesco Pasquale
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