Results 31 to 40 of about 2,821,060 (361)
Multiple Pursuer Multiple Evader Differential Games [PDF]
IEEE Transactions on Automatic Control, 2019 In this article an $N$-pursuer versus $M$-evader team conflict is studied. This article extends classical differential game theory to simultaneously address weapon assignments and multiplayer pursuit-evasion scenarios.
Eloy García +3 more
semanticscholar +1 more source
Mean field games with common noise [PDF]
, 2015 A theory of existence and uniqueness is developed for general stochastic differential mean field games with common noise. The concepts of strong and weak solutions are introduced in analogy with the theory of stochastic differential equations, and ...
Carmona, Rene +2 more
core +4 more sources
Games associated with products of eigenvalues of the Hessian
Mathematics in Engineering, 2023 We introduce games associated with second-order partial differential equations given by arbitrary products of eigenvalues of the Hessian. We prove that, as a parameter that controls the step length goes to zero, the value functions of the games converge ...
Pablo Blanc +3 more
doaj +1 more source
Differential Games for an Infinite 2-Systems of Differential Equations
Mathematics, 2021 A pursuit differential game described by an infinite system of 2-systems is studied in Hilbert space l2. Geometric constraints are imposed on control parameters of pursuer and evader.
Muminjon Tukhtasinov +3 more
doaj +1 more source
Approximate solutions of continuous-time stochastic games [PDF]
, 2016 The paper is concerned with a zero-sum continuous-time stochastic differential game with a dynamics controlled by a Markov process and a terminal payoff. The value function of the original game is estimated using the value function of a model game.
Averboukh, Yurii
core +1 more source
On the Upper Bound of Near Potential Differential Games
Results in Applied MathematicsThis letter presents an extended analysis and a novel upper bound of the subclass of Linear Quadratic Near Potential Differential Games (LQ NPDG). LQ NPDGs are a subclass of potential differential games, for which there is a distance between an LQ exact ...
Balint Varga
doaj +1 more source
Deep Fictitious Play for Stochastic Differential Games [PDF]
Communications in Mathematical Sciences, 2019 In this paper, we apply the idea of fictitious play to design deep neural networks (DNNs), and develop deep learning theory and algorithms for computing the Nash equilibrium of asymmetric $N$-player non-zero-sum stochastic differential games, for which ...
Ruimeng Hu
semanticscholar +1 more source
, 2017 This article introduces differential hybrid games, which combine differential games with hybrid games. In both kinds of games, two players interact with continuous dynamics.
Platzer, André
core +1 more source
Inverse Open-Loop Noncooperative Differential Games and Inverse Optimal Control
IEEE Transactions on Automatic Control, 2020 We consider the problem of computing parameters of player cost functionals such that given state and control trajectories constitute an open-loop Nash equilibrium for a noncooperative differential game.
Timothy L. Molloy +5 more
semanticscholar +1 more source
A survey on the recent development of securing the networked control systems
Systems Science & Control Engineering, 2019 Recent years witness an ever-increasing research interest in the study of securing the Networked Control Systems due mainly to the trend of integrating the advanced communication technical into the traditional control system.
Qinyi Wang, Hongjiu Yang
doaj +1 more source