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Cooperative strategies for two-evader-one-pursuer reach-avoid differential games

International Journal of Systems Science, 2021
A reach-avoid differential game with two evaders and one pursuer is considered in the plane which is divided into a play region and a goal region by a straight line. Two evaders, starting from the play region, aim at reaching the goal region protected by
Rui Yan, Zongying Shi, Yisheng Zhong
semanticscholar   +1 more source

Team Differential Games

IFAC Proceedings Volumes, 1990
The concept of the extension of terminal surface is pointed out for the first time in this paper. We use this concept to analyse one kind of one-versus-many multi-stage differential games of kind, then develope them to many-person two-team multi-stage differential games. To illustrate the solution of general problems we analyse a simple example.
Hai-Long Pei, Ming-An Tong
openaire   +1 more source

Potential Differential Games

Dynamic Games and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fonseca-Morales, Alejandra   +1 more
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Robust Optimal Control for Disturbed Nonlinear Zero-Sum Differential Games Based on Single NN and Least Squares

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2020
This paper establishes an approximate optimal critic learning algorithm based on single neural network (NN) policy iteration (PI) aiming at solving for continuous-time (CT) 2-player zero-sum games (ZSGs).
Ruizhuo Song, Junsong Li, F. Lewis
semanticscholar   +1 more source

Optimal Strategies for a Class of Multi-Player Reach-Avoid Differential Games in 3D Space

IEEE Robotics and Automation Letters, 2020
A multi-player reach-avoid differential game with autonomous aerial robots in the three dimensional space is studied. Two pursuers form a team to guard a target against an evader with the same speed as the pursuers.
Eloy García, D. Casbeer, M. Pachter
semanticscholar   +1 more source

Inverse Differential Games With Mixed Inequality Constraints

American Control Conference, 2020
Scenarios in which multiple agents interact in a goal-directed manner can be modeled as differential games. Here each agent aims to optimize an associated cost function.
Chaitanya Awasthi, Andrew G. Lamperski
semanticscholar   +1 more source

Barrier-Critic Adaptive Robust Control of Nonzero-Sum Differential Games for Uncertain Nonlinear Systems With State Constraints

IEEE Transactions on Systems, Man, and Cybernetics: Systems
In this article, for the nonzero-sum (NZS) differential games problem of uncertain nonlinear systems with state constraints, an adaptive robust stabilization scheme based on the control barrier function (CBF) is presented under the influence of random ...
C. Qin   +5 more
semanticscholar   +1 more source

Optimal Strategies for Pursuit-Evasion Differential Games of Players With Damped Double Integrator Dynamics

IEEE Transactions on Automatic Control
In this article, we investigate and derive optimal strategies for the pursuit-evasion problem of two players with damped double integrator dynamics. The pursuer is assumed to have a greater acceleration and attempt to capture the evader as quickly as ...
Shuai Li, Chen Wang, Guangming Xie
semanticscholar   +1 more source

Linear Differential Games

SIAM Journal on Control, 1974
A pursuit problem and an evasion problem are formulated and results are obtained for the case in which the dynamics are governed by linear differential equations and the terminal set is a linear manifold in the state space. Conditions are given ensuring the existence of an open set in the phase space such that if the initial state belongs to this set ...
openaire   +2 more sources

Deep Reinforcement Learning for Nash Equilibrium of Differential Games

IEEE Transactions on Neural Networks and Learning Systems
Nash equilibrium is a significant solution concept representing the optimal strategy in an uncooperative multiagent system. This study presents two deep reinforcement learning (DRL) algorithms for solving the Nash equilibrium of differential games.
Zhenyu Li, Yazhong Luo
semanticscholar   +1 more source

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