Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
711000 | IFAC Proceedings Volumes | 2009 | 4 Pages |
Abstract
A differential game with simple motions is considered under assumptions that the Hamiltonian and the cost terminal function are piecewise linear and positively homogeneous. The structure of the value function of the differential game is investigated in the framework of the theory of minimax (or/and viscosity) solutions for Hamilton-Jacobi equations. Inequalities are provided to estimate the value function. Cases of explicit formulas for the value function are pointed out.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics