Differential Games With Lipschitz Control Functions and Applications to Games With Partial Differential Equations [PDF]
Transactions 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.
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Repeated games for eikonal equations, integral curvature flows and non-linear parabolic integro-differential equations [PDF]
, 2009 The main purpose of this paper is to approximate several non-local evolution equations by zero-sum repeated games in the spirit of the previous works of Kohn and the second author (2006 and 2009): general fully non-linear parabolic integro-differential ...
A. Sayah +28 more
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Feedback Nash Equilibria in Differential Games With Impulse Control
IEEE Transactions on Automatic Control, 2023 We study a class of deterministic finite-horizon two-player nonzero-sum differential games where players are endowed with different kinds of controls. We assume that Player 1 uses piecewise-continuous controls, while Player 2 uses impulse controls. For this class of games, we seek to derive conditions for the existence of feedback Nash equilibrium ...
Utsav Sadana +2 more
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Modeling and Computation of Transboundary Industrial Pollution with Emission Permits Trading by Stochastic Differential Game. [PDF]
PLoS ONE, 2015 Transboundary industrial pollution requires international actions to control its formation and effects. In this paper, we present a stochastic differential game to model the transboundary industrial pollution problems with emission permits trading.
Shuhua Chang, Xinyu Wang, Zheng Wang
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IN MEMORY OF ARKADY VIKTOROVICH KRYAZHIMSKIY (1949–2014)
Ural Mathematical Journal, 2016 The article is devoted to the description of Academician Arkady Kryazhimskiy's life path. The facts of the scientific biography of Acad. Kryazhimskiy are presented with the emphasis on his outstanding contribution into the theory of dynamic inversion ...
Sergei M. Aseev +6 more
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Optimal Evasive Maneuver for a Ship in an Environment of Fixed Installations and Other Ships [PDF]
Modeling, Identification and Control, 1982 Collision avoidance for encounters between several ships and installations in the open sea, is treated as a problem of optimal control, using the theory of differential games.
Rolf Skjong, Kåre M. Mjelde
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Maximum Principle for Forward-Backward Doubly Stochastic Control Systems and Applications [PDF]
, 2010 The maximum principle for optimal control problems of fully coupled forward-backward doubly stochastic differential equations (FBDSDEs in short) in the global form is obtained, under the assumptions that the diffusion coefficients do not contain the ...
Bensoussan +22 more
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Differential Games and Manual Control [PDF]
IEEE 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.
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Spatially Distributed Differential Game Theoretic Model of Fisheries
Mathematics, 2019 We consider a differential game of fisheries in a fan-like control structure of the type “supervisor—several agents”. The dynamics of the controlled system is described by a non-linear differential equation model which is identified on ...
Guennady Ougolnitsky, Anatoly Usov
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Key steps in developing a cognitive vaccine against traumatic flashbacks: visuospatial Tetris versus verbal Pub Quiz. [PDF]
PLoS ONE, 2010 Flashbacks (intrusive memories of a traumatic event) are the hallmark feature of Post Traumatic Stress Disorder, however preventative interventions are lacking.
Emily A Holmes +3 more
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