Results 11 to 20 of about 18,118 (305)

Application of Differential Games in Mechatronic Control System [PDF]

open access: yesInternational Journal of Applied Mechanics and Engineering, 2016
Differential games are a combination of game theory and optimum control methods. Their solutions are based on Bellman's principle of optimality. In this paper, the zero-sum differential game theory has been used for the purposes of controlling a ...
Z. Hendzel, P. Penar
doaj   +2 more sources

Differential Games With Lipschitz Control Functions and Applications to Games With Partial Differential Equations [PDF]

open access: yesTransactions of the American Mathematical Society, 1976
In §1 we formulate a differential game when the dynamics is the inhomogeneous heat equation. In §2 we state the basic theory of differential games when the controls must choose uniformly Lipschitz control functions. We then prove some general theorems for the case when the controls may choose any measurable control functions.
Emmanuel Nicholas Barron
openaire   +3 more sources

Duality of the alternating integral for quasilinear differential games [PDF]

open access: yesNonlinear Analysis, 2012
The concept of alternated integrals proved to be useful in differential games and in control theory under the conditions of uncertainty. In this article the connection between upper and lower alternating integrals for quasi-linear differential games is ...
Ikrom Iskanadjiev
doaj   +2 more sources

State and Control Path-Dependent Stochastic Zero-Sum Differential Games: Viscosity Solutions of Path-Dependent Hamilton–Jacobi–Isaacs Equations

open access: yesMathematics, 2022
In this paper, we consider the two-player state and control path-dependent stochastic zero-sum differential game. In our problem setup, the state process, which is controlled by the players, is dependent on (current and past) paths of state and control ...
Jun Moon
doaj   +1 more source

Game Control Methods Comparison when Avoiding Collisions with Multiple Objects Using Radar Remote Sensing

open access: yesRemote Sensing, 2020
This article formulates the concept of games in the field of process control theory in marine sciences and reviews the literature on the possible applications of games. The possible types of game control processes for moving objects are presented.
Józef Lisowski
doaj   +1 more source

Distributed differential games for control of multi-agent systems [PDF]

open access: yes, 2021
Motivated by the challenges arising in the field of multi-agent systems (MAS) control, we consider linear heterogenous MAS subject to local communication and investigate the problem of designing distributed controllers for such systems. We provide a game
Cappello, Domenico, Mylvaganam, Thulasi
core   +1 more source

Inverse noncooperative differential games [PDF]

open access: yes, 2017
Differential games are an important mathematical\ud tool for studying conflict in applications across engineering, economics, and ecology. In noncooperative differential games, the players (or decision makers) are concerned with achieving their ...
Timothy L. Molloy   +5 more
core   +1 more source

Cemracs 2017: numerical probabilistic approach to MFG [PDF]

open access: yesESAIM: Proceedings and Surveys, 2019
This project investigates numerical methods for solving fully coupled forward-backward stochastic differential equations (FBSDEs) of McKean-Vlasov type.
Angiuli Andrea   +5 more
doaj   +1 more source

An extremal control in differential games [PDF]

open access: yes, 1975
Let us consider a system $$\frac{{dx}}{{dt}} = f(t,x,u,v);x \in {R^{n}},u \in P \subset {R^{P}},v \in Q \subset {R^{q}}$$ (1) .
openaire   +1 more source

Differential Games and Manual Control [PDF]

open access: yesIEEE Transactions on Human Factors in Electronics, 1966
Variational methods are used to solve a particular pursuit-evasion differential game. The problem involves the determination of optimal strategies for both the pursuer and evader. The performance measure is the miss distance at some fixed terminal time. Both pursuer and evader have limited control energy.
openaire   +1 more source

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