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Position Control in Integro-Differential Pursuit Games
Cybernetics and Systems Analysis, 2002The authors consider a conflict-controlled process described by a system of integro-differential equations. In this way is analyzed a game problem of pursuit for a dynamic process. All integrals considered into the system are regarded in the sense of Lebesgue. The game model is built from the point of view of the pursuer whose objective is to bring the
Chikrij, G. Ts., Volyanskij, K. Yu.
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Composition of Dynamic Control Objectives Based on Differential Games
2021 29th Mediterranean Conference on Control and Automation (MED), 2021We present a divide and conquer design approach for handling control problems with dynamically changing objectives. The approach is based on associating each objective with a virtual input and then considering a game between a set of (virtual) players, each trying to achieve an objective by controlling the associated virtual input.
Joshua Shay Kricheli +4 more
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A Reinforcement Learning Adaptive Fuzzy Controller for Differential Games
Journal of Intelligent and Robotic Systems, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sidney Nascimento Givigi +2 more
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Stochastic differential games with controlled regime-switching
Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chenglin Ma, Huaizhong Zhao
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On Time Extension in Differential Games with Impulse Controls
Cybernetics and Systems Analysis, 2017From the text: In the paper, we have obtained sufficient conditions for termination of a linear differential game with impulse controls on the basis of time extension principle without the assumption that the Pontryagin condition holds. We have specified the technique of constructing the control that leads to the objective. In the illustrative example,
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Optimal Control of Disturbed Linear-Quadratic Differential Games
European Journal of Control, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gerhard Jank, Gábor Kun
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Differential Games with Unbounded Versus Bounded Controls
SIAM Journal on Control and Optimization, 1998Summary: A zero-sum differential game with an unbounded control and no coercivity assumptions is investigated. By means of suitable reparametrization techniques one is able to avoid the serious drawbacks which derive from the lack of a sufficiently fast growth hypothesis.
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A Stochastic Differential Game with Controllable Statistical Parameters
IEEE Transactions on Systems Science and Cybernetics, 1967A differential game is described where the opponents are a missile and a radar. The problem is formulated so that linear theory can be used in finding the optimal strategies of both opponents. The missile uses a mixed strategy by adding white noise into its controller.
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Algorithms for Differential Games with Bounded Control and State
1981Pursuit and evasion problems are probably the most natural application of differential game theory and have been treated by many authors as such. Very few problems of this class can be solved analytically. Fast and efficient numerical algorithms are needed to solve for an optimal or near optimal solution of a realistic pursuit and evasion differential ...
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Multiple Pursuit in Nonlinear Differential Games with Discrete Control
Journal of Optimization Theory and ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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