A splitting method for overcoming the curse of dimensionality in Hamilton-Jacobi equations arising from nonlinear optimal control and differential games with …
AT Lin, YT Chow, S Osher - arXiv preprint arXiv:1803.01215, 2018 - arxiv.org
Recent observations have been made that bridge splitting methods arising from
optimization, to the Hopf and Lax formulas for Hamilton-Jacobi Equations with Hamiltonians …
optimization, to the Hopf and Lax formulas for Hamilton-Jacobi Equations with Hamiltonians …
Suboptimal nonlinear feedback control laws for collective dynamics
We present feedback control methodologies for the stabilization of nonlinear collective
dynamics. The proposed controllers circumvent the curse of dimensionality associated to …
dynamics. The proposed controllers circumvent the curse of dimensionality associated to …
Error estimates for a tree structure algorithm solving finite horizon control problems
In the Dynamic Programming approach to optimal control problems a crucial role is played
by the value function that is characterized as the unique viscosity solution of a Hamilton …
by the value function that is characterized as the unique viscosity solution of a Hamilton …
Polynomial approximation of high-dimensional Hamilton-Jacobi-Bellman equations
D Kalise - jmzs.cl
In this talk we present a procedure for the numerical approximation of high-dimensional
Hamilton-Jacobi-Bellman (HJB) equations associated to optimal feedback control problems …
Hamilton-Jacobi-Bellman (HJB) equations associated to optimal feedback control problems …