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The use of game theoretic methods for control in multiagent systems has been an important topic in recent research. Valid utility games in particular have been used to model real-world problems; such games have the convenient property that…

Computer Science and Game Theory · Computer Science 2022-09-16 David Grimsman , Philip N. Brown , Jason R. Marden

Multistage decision policies provide useful control strategies in high-dimensional state spaces, particularly in complex control tasks. However, they exhibit weak performance guarantees in the presence of disturbance, model mismatch, or…

Robotics · Computer Science 2018-08-07 Olalekan Ogunmolu , Nicholas Gans , Tyler Summers

In shared autonomy, a critical tension arises when an automated assistant must choose between obeying a human's instruction and deliberately overriding it to prevent harm. This safety-critical behavior is known as intelligent disobedience.…

Artificial Intelligence · Computer Science 2026-03-24 Benedikt Hornig , Reuth Mirsky

This paper is concerned with the design of a linear control law for linear systems with stationary additive disturbances. The objective is to find a state feedback gain that minimizes a quadratic stage cost function, while observing chance…

Optimization and Control · Mathematics 2025-10-03 Georg Schildbach , Paul Goulart , Manfred Morari

We consider a class of zero-sum stopper vs. singular-controller games in which the controller can only act on a subset $d_0<d$ of the $d$ coordinates of a controlled diffusion. Due to the constraint on the control directions these games…

Optimization and Control · Mathematics 2024-02-02 Andrea Bovo , Tiziano De Angelis , Jan Palczewski

Modeling vehicle interactions at unsignalized intersections is a challenging task due to the complexity of the underlying game-theoretic processes. Although prior studies have attempted to capture interactive driving behaviors, most…

Artificial Intelligence · Computer Science 2025-06-17 Kehua Chen , Shucheng Zhang , Yinhai Wang

This paper introduces two new identification methods for linear quadratic (LQ) ordinal potential differential games (OPDGs). Potential games are notable for their benefits, such as the computability and guaranteed existence of Nash…

Dynamical Systems · Mathematics 2025-03-06 Balint Varga , Da Huang , Sören Hohmann

This paper is about a set-based computing method for solving a general class of two-player zero-sum Stackelberg differential games. We assume that the game is modeled by a set of coupled nonlinear differential equations, which can be…

Optimization and Control · Mathematics 2019-09-10 Xuhui Feng , Mario E. Villanueva , Boris Houska

A comprehensive approach addressing identification and control for learningbased Model Predictive Control (MPC) for linear systems is presented. The design technique yields a data-driven MPC law, based on a dataset collected from the…

Systems and Control · Computer Science 2018-10-31 Enrico Terzi , Lorenzo Fagiano , Marcello Farina , Riccardo Scattolini

Dynamic game arises as a powerful paradigm for multi-robot planning, for which safety constraint satisfaction is crucial. Constrained stochastic games are of particular interest, as real-world robots need to operate and satisfy constraints…

Robotics · Computer Science 2026-03-27 Hai Zhong , Yutaka Shimizu , Jianyu Chen

Automated vehicles are gradually entering people's daily life to provide a comfortable driving experience for the users. The generic and user-agnostic automated vehicles have limited ability to accommodate the different driving styles of…

Human-Computer Interaction · Computer Science 2022-08-18 Shili Sheng , Erfan Pakdamanian , Kyungtae Han , Ziran Wang , Lu Feng

Event-triggered and self-triggered control have been proposed in recent years as promising control strategies to reduce communication resources in Networked Control Systems (NCSs). Based on the notion of set-invariance theory, this note…

Optimization and Control · Mathematics 2018-01-18 Kazumune Hashimoto , Dimos V. Dimarogonas , Shuichi Adachi

We present Intermittent Control (IC) models as a candidate framework for modelling human input movements in Human--Computer Interaction (HCI). IC differs from continuous control in that users are not assumed to use feedback to adjust their…

Human-Computer Interaction · Computer Science 2021-03-16 J. Alberto Álvarez Martín , Henrik Gollee , Jörg Müller , Roderick Murray-Smith

We propose a dynamic information manipulation game (DIMG) to investigate the incentives of an information manipulator (IM) to influence the transition rules of a partially observable Markov decision process (POMDP). DIMG is a hierarchical…

Optimization and Control · Mathematics 2025-07-15 Shutian Liu , Quanyan Zhu

We propose a computationally efficient Learning Model Predictive Control (LMPC) scheme for constrained optimal control of a class of nonlinear systems where the state and input can be reconstructed using lifted outputs. For the considered…

Optimization and Control · Mathematics 2021-01-19 Siddharth H. Nair , Ugo Rosolia , Francesco Borrelli

Shared control allows the human driver to collaborate with an assistive driving system while retaining the ability to make decisions and take control if necessary. However, human-vehicle teaming and planning are challenging due to…

Robotics · Computer Science 2024-03-19 Yuhan Zhao , Quanyan Zhu

Decentralized team problems where players have asymmetric information about the state of the underlying stochastic system have been actively studied, but \emph{games} between such teams are less understood. We consider a general model of…

Multiagent Systems · Computer Science 2021-09-29 Dhruva Kartik , Ashutosh Nayyar , Urbashi Mitra

Multi-robot cooperation requires agents to make decisions that are consistent with the shared goal without disregarding action-specific preferences that might arise from asymmetry in capabilities and individual objectives. To accomplish…

Robotics · Computer Science 2021-05-07 Joewie J. Koh , Guohui Ding , Christoffer Heckman , Lijun Chen , Alessandro Roncone

We analyze a system of partial differential equations that model a potential mean field game of controls, briefly MFGC. Such a game describes the interaction of infinitely many negligible players competing to optimize a personal value…

Analysis of PDEs · Mathematics 2020-10-27 Jameson Graber , Alan Mullenix , Laurent Pfeiffer

When manipulating a novel object with complex dynamics, a state representation is not always available, for example for deformable objects. Learning both a representation and dynamics from observations requires large amounts of data. We…

Robotics · Computer Science 2021-02-18 Thomas Power , Dmitry Berenson