EXISTENCE OF THE VALUE FOR A DIFFERENTIAL GAME WITH SWITCHING STRATEGIES IN A BANACH SPACE

EXISTENCE OF THE VALUE FOR A DIFFERENTIAL GAME WITH SWITCHING STRATEGIES IN A BANACH SPACE

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摘要 A two-player zero-sum differential game in some Banach space is studied.Positiveswitching costs are associated with each player.By regularizing the game and combining thenotion of viscosity solutions for Isaacs-Bellman equation,we obtain the existence of the Elliot-Kalton value of the game under suitable conditions. A two-player zero-sum differential game in some Banach space is studied.Positiveswitching costs are associated with each player.By regularizing the game and combining thenotion of viscosity solutions for Isaacs-Bellman equation,we obtain the existence of the Elliot-Kalton value of the game under suitable conditions.

作者雍炯敏

机构地区 Department of Mathematics

出处《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1991年第4期321-340,共20页

基金 This work was partially supported by the National Natural Science Foundation of China under Grant 0188416

关键词 Differential GAMES SWITCHING STRATEGIES VALUE function Isaacs-Bellman equation viscosity solution distributed parameter systems Differential games switching strategies value function Isaacs-Bellman equation viscosity solution distributed parameter systems

分类号 N94 [自然科学总论—系统科学]

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Systems Science and Mathematical Sciences

1991年第4期

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EXISTENCE OF THE VALUE FOR A DIFFERENTIAL GAME WITH SWITCHING STRATEGIES IN A BANACH SPACE

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