| HAL-Inria | Publications, software ... of Inria's scientists |
Conference papers
Computation of Value Functions in Nonlinear Differential Games with State Constraints
Abstract : Finite-difference schemes for the computation of value functions of nonlinear differential games with non-terminal payoff functional and state constraints are proposed. The solution method is based on the fact that the value function is a generalized viscosity solution of the corresponding Hamilton-Jacobi-Bellman-Isaacs equation. Such a viscosity solution is defined as a function satisfying differential inequalities introduced by M. G. Crandall and P. L. Lions. The difference with the classical case is that these inequalities hold on an unknown in advance subset of the state space. The convergence rate of the numerical schemes is given. Numerical solution to a non-trivial three-dimensional example is presented.
Cited literature [22 references]
https://hal.inria.fr/hal-01347543
Contributor : Hal Ifip <>
Submitted on : Thursday, July 21, 2016 - 11:20:04 AM
Last modification on : Thursday, July 21, 2016 - 11:48:14 AM
Contributor : Hal Ifip <>
Submitted on : Thursday, July 21, 2016 - 11:20:04 AM
Last modification on : Thursday, July 21, 2016 - 11:48:14 AM
File
978-3-642-36062-6_24_Chapter.p...
Files produced by the author(s)
Licence
Distributed under a Creative Commons Attribution 4.0 International License