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Pursuit-Evasion Games and Zero-sum Two-person Differential Games
Abstract : Differential games arose from the investigation, by Rufus Isaacs in the 50's, of pursuit-evasion problems. In these problems, closed-loop strategies are of the essence, although defining what is exactly meant by this phrase, and what is the Value of a differential game, is difficult. For closed-loop strategies, there is no such thing as a " two-sided Maximum Principle " , and one must resort to the analysis of Isaacs' equation, a Hamilton Jacobi equation. The concept of viscosity solutions of Hamilton-Jacobi equations has helped solve several of these issues.
Cited literature [25 references]
https://hal.inria.fr/hal-01215556
Contributor : Jean-Luc Gouzé Connect in order to contact the contributor
Submitted on : Wednesday, October 14, 2015 - 2:44:28 PM
Last modification on : Thursday, January 20, 2022 - 5:28:33 PM
Long-term archiving on: : Thursday, April 27, 2017 - 4:30:37 AM
Contributor : Jean-Luc Gouzé Connect in order to contact the contributor
Submitted on : Wednesday, October 14, 2015 - 2:44:28 PM
Last modification on : Thursday, January 20, 2022 - 5:28:33 PM
Long-term archiving on: : Thursday, April 27, 2017 - 4:30:37 AM
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