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This paper investigates the performance of Newton's method, iterative Linear Quadratic Regulator (iLQR), and Differential Dynamic Programming (DDP) in solving discrete-time optimal control problems. We offer a unified perspective on these…

最优化与控制 · 数学 2026-05-26 Abhijeet , Suman Chakravorty

Adjustable autonomy refers to entities dynamically varying their own autonomy, transferring decision-making control to other entities (typically agents transferring control to human users) in key situations. Determining whether and when…

人工智能 · 计算机科学 2011-06-24 D. V. Pynadath , P. Scerri , M. Tambe

Min-max problems are important in multi-agent sequential decision-making because they improve the performance of the worst-performing agent in the network. However, solving the multi-agent min-max problem is challenging. We propose a…

多智能体系统 · 计算机科学 2024-05-31 Alexandros E. Tzikas , Jinkyoo Park , Mykel J. Kochenderfer , Ross E. Allen

In this paper, we study proximal type dynamics in the context of noncooperative multi-agent network games. These dynamics arise in different applications, since they describe distributed decision making in multi-agent networks, e.g., in…

最优化与控制 · 数学 2019-09-26 Carlo Cenedese , Giuseppe Belgioioso , Yu Kawano , Sergio Grammatico , Ming Cao

Robot design optimization, imitation learning and system identification share a common problem which requires optimization over robot or task parameters at the same time as optimizing the robot motion. To solve these problems, we can use…

机器人学 · 计算机科学 2022-09-05 Traiko Dinev , Carlos Mastalli , Vladimir Ivan , Steve Tonneau , Sethu Vijayakumar

The actions of an autonomous vehicle on the road affect and are affected by those of other drivers, whether overtaking, negotiating a merge, or avoiding an accident. This mutual dependence, best captured by dynamic game theory, creates a…

机器人学 · 计算机科学 2018-10-16 Jaime F. Fisac , Eli Bronstein , Elis Stefansson , Dorsa Sadigh , S. Shankar Sastry , Anca D. Dragan

This paper develops a game-theoretic decision-making framework for autonomous driving in multi-agent scenarios. A novel hierarchical game-based decision framework is developed for the ego vehicle. This framework features an interaction…

系统与控制 · 电气工程与系统科学 2025-07-30 Mushuang Liu , Yan Wan , Frank Lewis , Subramanya Nageshrao , H. Eric Tseng , Dimitar Filev

In this paper, a new on-line scheme is presented to design the optimal coordination control for the consensus problem of multi-agent differential games by fuzzy adaptive dynamic programming (FADP), which brings together game theory,…

最优化与控制 · 数学 2017-12-01 Huaguang Zhang , Jilie Zhang , Guang-Hong Yang , Yanhong Luo

In many game-theoretic settings, agents are challenged with taking decisions against the uncertain behavior exhibited by others. Often, this uncertainty arises from multiple sources, e.g., incomplete information, limited computation,…

计算机科学与博弈论 · 计算机科学 2025-07-22 Nicolas Lanzetti , Sylvain Fricker , Saverio Bolognani , Florian Dörfler , Dario Paccagnan

Being able to fall safely is a necessary motor skill for humanoids performing highly dynamic tasks, such as running and jumping. We propose a new method to learn a policy that minimizes the maximal impulse during the fall. The optimization…

机器人学 · 计算机科学 2017-04-21 Visak CV Kumar , Sehoon Ha , C Karen Liu

Autonomous multi-agent systems such as hospital robots and package delivery drones often operate in highly uncertain environments and are expected to achieve complex temporal task objectives while ensuring safety. While learning-based…

多智能体系统 · 计算机科学 2024-11-19 Sheryl Paul , Anand Balakrishnan , Xin Qin , Jyotirmoy V. Deshmukh

In this paper, we study inverse game theory (resp. inverse multiagent learning) in which the goal is to find parameters of a game's payoff functions for which the expected (resp. sampled) behavior is an equilibrium. We formulate these…

计算机科学与博弈论 · 计算机科学 2025-02-21 Denizalp Goktas , Amy Greenwald , Sadie Zhao , Alec Koppel , Sumitra Ganesh

We study deterministic optimal control problems for differential games with finite horizon. We propose new approximations of the strategies in feedback form, and show error estimates and a convergence result of the value in some weak sense…

最优化与控制 · 数学 2024-09-04 Olivier Bokanowski , Xavier Warin

We consider the problem of interaction-aware motion planning for automated vehicles in general traffic situations. We model the interaction between the controlled vehicle and surrounding road users using a generalized potential game, in…

最优化与控制 · 数学 2023-05-09 Brecht Evens , Mathijs Schuurmans , Panagiotis Patrinos

Although significant progress has been made in decision-making for automated driving, challenges remain for deployment in the real world. One challenge lies in addressing interaction-awareness. Most existing approaches oversimplify…

机器人学 · 计算机科学 2026-02-10 Karim Essalmi , Fernando Garrido , Fawzi Nashashibi

In financial markets, agents often mutually influence each other's investment strategies and adjust their strategies to align with others. However, there is limited quantitative study of agents' investment strategies in such scenarios. In…

系统与控制 · 电气工程与系统科学 2025-01-27 Huisheng Wang , H. Vicky Zhao

We propose a decentralized game-theoretic framework for dynamic task allocation problems for multi-agent systems. In our problem formulation, the agents' utilities depend on both the rewards and the costs associated with the successful…

多智能体系统 · 计算机科学 2021-08-19 Efstathios Bakolas , Yoonjae Lee

We address safe multi-robot interaction under uncertainty. In particular, we formulate a chance-constrained linear quadratic Gaussian game with coupling constraints and system uncertainties. We find a tractable reformulation of the game and…

机器人学 · 计算机科学 2025-08-15 Kai Ren , Giulio Salizzoni , Mustafa Emre Gürsoy , Maryam Kamgarpour

We address the multi-agent motion planning problem where interactions, collisions, and congestion co-exist. Conventional game-theoretic planners capture interactions among agents but often converge to conservative, congested equilibria.…

We propose a reinforcement learning (RL)-based algorithm to jointly train (1) a trajectory planner and (2) a tracking controller in a layered control architecture. Our algorithm arises naturally from a rewrite of the underlying optimal…

系统与控制 · 电气工程与系统科学 2024-12-18 Fengjun Yang , Nikolai Matni