On the Theory of Position Pursuit Differential Games
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DOI: 10.1007/s10958-020-04694-4
Abstract: The paper is devoted to the study of a position pursuit problem described by first-order linear differential equations. Sufficient conditions of the possibility of pursuit termination for such controllable systems are obtained. For finding control… read more here.
Keywords: position pursuit; pursuit differential; differential games; theory position ... See more keywords
Unique Ergodicity of Deterministic Zero-Sum Differential Games
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DOI: 10.1007/s13235-020-00355-y
Abstract: We study the ergodicity of deterministic two-person zero-sum differential games. This property is defined by the uniform convergence to a constant of either the infinite-horizon discounted value as the discount factor tends to zero, or… read more here.
Keywords: ergodicity; differential games; zero sum; ergodicity deterministic ... See more keywords
Robust multi-agent differential games for general linear systems with model uncertainties
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DOI: 10.1016/j.ifacol.2020.12.092
Abstract: Abstract The problem of infinite-horizon multi-agent differential games is investigated, where the process can be modeled by a set of uncertain linear dynamics. The players are divided into two teams, one of which consists of… read more here.
Keywords: differential games; agent differential; multi agent; model uncertainties ... See more keywords
Nonzero-sum risk-sensitive stochastic differential games with discounted costs
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DOI: 10.1080/07362994.2020.1796707
Abstract: Abstract We study nonzero-sum stochastic differential games with risk-sensitive discounted cost criteria. Under fairly general conditions on drift term and diffusion coefficients, we establish a Nash equilibrium in Markov strategies for the discounted cost criterion.… read more here.
Keywords: sum risk; risk sensitive; nonzero sum; stochastic differential ... See more keywords
Multiplayer Pursuit-Evasion Differential Games With Malicious Pursuers
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2022.3168430
Abstract: This article investigates the multiplayer pursuit-evasion (MPE) differential games in the presence of malicious pursuers. First, three types of malicious pursuers, namely greedy, lazy, and traitorous pursuers are formulated by using two subjectively malicious factors… read more here.
Keywords: pursuit evasion; differential games; multiplayer pursuit; pursuit ... See more keywords
Stochastic Adaptive Linear Quadratic Differential Games
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DOI: 10.1109/tac.2023.3274863
Abstract: Game theory is playing more and more important roles in understanding complex systems and in investigating intelligent machines with various uncertainties. As a starting point, we consider the classical two-player zero-sum linear-quadratic stochastic differential games,… read more here.
Keywords: quadratic differential; adaptive linear; differential games; stochastic adaptive ... See more keywords
Distributed Differential Games for Control of Multi-Agent Systems
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Control of Network Systems"
DOI: 10.1109/tcns.2021.3124170
Abstract: Motivated by the challenges arising in the field of multi-agent system (MAS) control, we consider linear heterogeneous MAS subject to local communication and investigate the problem of designing distributed controllers for such systems. We provide… read more here.
Keywords: systems distributed; games control; differential games; distributed differential ... See more keywords