Bibliographic Details
| Title: |
Numerical Construction of Stackelberg Solutions in a Linear Positional Differential Game Based on the Method of Polyhedra. |
| Authors: |
Kuvshinov, D. R.1,2 kuvshinovdr@yandex.ru, Osipov, S. I.2 Sergei.Osipov@urfu.ru |
| Source: |
Automation & Remote Control. Mar2018, Vol. 79 Issue 3, p479-491. 13p. |
| Subjects: |
Differential games, Polyhedra models, Optimal control theory, Numerical solutions for linear algebra, Zero sum games |
| Abstract: |
We consider the problem of constructing approximate Stackelberg solutions in a linear non-zero-sum positional differential game of two players with terminal payoffs and player controls chosen on convex polyhedra. A formalization of player strategies and motions generated by them is based on the formalization and results of the theory of zero-sum positional differential games developed by N.N. Krasovskii and his scientific school. The problem of finding a Stackelberg solution reduces to solving nonstandard optimal control problems. We propose an approach based on operations with convex polyhedra. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
