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Road safety continues to be a pressing global issue, with vehicle collisions imposing significant human, societal, and economic burdens. Human-machine shared collision avoidance in critical collision scenarios aims to aid drivers' accident…

Robotics · Computer Science 2025-09-03 Shiyue Zhao , Junzhi Zhang , Rui Zhou , Neda Masoud , Jianxiong Li , Helai Huang , Shijie Zhao

We propose a neural network approach for solving high-dimensional optimal control problems. In particular, we focus on multi-agent control problems with obstacle and collision avoidance. These problems immediately become high-dimensional,…

Optimization and Control · Mathematics 2022-05-05 Derek Onken , Levon Nurbekyan , Xingjian Li , Samy Wu Fung , Stanley Osher , Lars Ruthotto

In this paper, we establish a zero-sum, hybrid state stochastic game model for designing defense policies for cyber-physical systems against different types of attacks. With the increasingly integrated properties of cyber-physical systems…

Computer Science and Game Theory · Computer Science 2017-10-03 Fei Miao , Quanyan Zhu , Miroslav Pajic , George J. Pappas

We address target interception in contested environments in the presence of multiple defenders whose interception capability is limited by finite ranges. Conventional methods typically impose conservative stand-off constraints based on…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Praveen Kumar Ranjan , Abhinav Sinha , Yongcan Cao

A cyber security problem in a networked system formulated as a resilient graph problem based on a game-theoretic approach is considered. The connectivity of the underlying graph of the network system is reduced by an attacker who removes…

Systems and Control · Electrical Eng. & Systems 2023-03-14 Yurid Nugraha , Ahmet Cetinkaya , Tomohisa Hayakawa , Hideaki Ishii , Quanyan Zhu

Consensus and cluster forming of multiagent systems in the face of jamming attacks along with reactive recovery actions by a defender are discussed. The attacker is capable to disable some of the edges of the network with the objective to…

Systems and Control · Electrical Eng. & Systems 2023-01-27 Yurid Nugraha , Ahmet Cetinkaya , Tomohisa Hayakawa , Hideaki Ishii , Quanyan Zhu

Two standard algorithms for approximately solving two-player zero-sum concurrent reachability games are value iteration and strategy iteration. We prove upper and lower bounds of 2^(m^(Theta(N))) on the worst case number of iterations…

Computer Science and Game Theory · Computer Science 2012-03-02 Kristoffer Arnsfelt Hansen , Rasmus Ibsen-Jensen , Peter Bro Miltersen

Unmanned aerial vehicles (UAVs) have become increasingly prevalent in various domains, ranging from military operations to civilian applications. However, the proliferation of UAVs has also given rise to concerns regarding their potential…

Computer Science and Game Theory · Computer Science 2023-06-01 Oleg Malafeyev , Kun Zhang

In large-scale multi-agent systems, the large number of agents and complex game relationship cause great difficulty for policy learning. Therefore, simplifying the learning process is an important research issue. In many multi-agent…

Artificial Intelligence · Computer Science 2019-11-26 Yong Liu , Weixun Wang , Yujing Hu , Jianye Hao , Xingguo Chen , Yang Gao

Multiagent planning and coordination problems are common and known to be computationally hard. We show that a wide range of two-agent problems can be formulated as bilinear programs. We present a successive approximation algorithm that…

Artificial Intelligence · Computer Science 2014-01-16 Marek Petrik , Shlomo Zilberstein

An operational relevant conflict between teams of autonomous vehicles in the Beyond Visual Range domain is addressed in this paper. Optimal strategies are designed in order for a team of air interceptors to protect a high value asset and…

Optimization and Control · Mathematics 2020-09-23 Eloy Garcia , David W. Casbeer , Dzung Tran , Meir Pachter

Advanced Air Mobility (AAM) operations are expected to significantly increase aerial traffic in urban airspace, requiring autonomous traffic management systems to ensure collision-free operations in highly congested environments. In this…

Systems and Control · Electrical Eng. & Systems 2026-05-21 Matthew Low , Jasmine Jerry Aloor , Victoria Marie Tuck , Pierluigi Nuzzo , Jason J. Choi

In this paper, we formulate a two-player zero-sum game under dynamic constraints defined by hybrid dynamical equations. The game consists of a min-max problem involving a cost functional that depends on the actions and resulting solutions…

Optimization and Control · Mathematics 2025-05-20 Santiago J. Leudo , Ricardo G. Sanfelice

This paper studies a target-defense game played between a slow defender and a fast attacker. The attacker wins the game if it reaches the target while avoiding the defender's capture disk. The defender wins the game by preventing the…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Goutam Das , Michael Dorothy , Zachary I. Bell , Daigo Shishika

We present a numerical approach to finding optimal trajectories for players in a multi-body, asset-guarding game with nonlinear dynamics and non-convex constraints. Using the Iterative Best Response (IBR) scheme, we solve for each player's…

Systems and Control · Electrical Eng. & Systems 2020-11-04 Emmanuel Sin , Murat Arcak , Douglas Philbrick , Peter Seiler

In this paper, we address pursuit-evasion problems involving multiple pursuers and multiple evaders. The pursuer and the evader teams are assumed to be heterogeneous, in the sense that each team has agents with different speed capabilities.…

Optimization and Control · Mathematics 2020-06-22 Venkata Ramana Makkapati , Panagiotis Tsiotras

Hamilton-Jacobi (HJ) reachability is a rigorous mathematical framework that enables robots to simultaneously detect unsafe states and generate actions that prevent future failures. While in theory, HJ reachability can synthesize safe…

Robotics · Computer Science 2025-12-16 Kensuke Nakamura , Lasse Peters , Andrea Bajcsy

The proliferation of unmanned aerial vehicles (UAVs) opens up new opportunities for on-demand service provisioning anywhere and anytime, but it also exposes UAVs to various cyber threats. Low/medium-interaction honeypot is regarded as a…

Computer Science and Game Theory · Computer Science 2022-09-29 Yuntao Wang , Zhou Su , Abderrahim Benslimane , Qichao Xu , Minghui Dai , Ruidong Li

We extend the adversarial/non-stochastic multi-play multi-armed bandit (MPMAB) to the case where the number of arms to play is variable. The work is motivated by the fact that the resources allocated to scan different critical locations in…

Machine Learning · Computer Science 2021-10-28 Yiyang Wang , Neda Masoud

Effective game-theoretic modeling of defender-attacker behavior is becoming increasingly important. In many domains, the defender functions not only as a player but also the designer of the game's payoff structure. We study Stackelberg…

Computer Science and Game Theory · Computer Science 2018-05-23 Zheyuan Ryan Shi , Ziye Tang , Long Tran-Thanh , Rohit Singh , Fei Fang
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