no code implementations • 7 Aug 2021 • Wei Liao, Taotao Liang, Xiaohui Wei, Qiaozhi Yin
A numerical method is proposed to compute probabilistic reachable sets.
no code implementations • 15 Apr 2021 • Wei Liao, Taotao Liang, Xiaohui Wei, Jizhou Lai
However, some shortcomings, such as the difficulties of handling dissipation function and constructing terminal conditions for solving the Hamilton-Jacobi partial differential equation, limit the application of the level set method in some problems with non-affine nonlinear systems and irregular target sets.
no code implementations • 24 Jan 2021 • Wei Liao, Taotao Liang, Pengwen Xiong, Chen Wang, Aiguo Song, Peter X. Liu
The reachable tube is described as a sublevel set of a value function, which is the viscosity solution of a Hamilton-Jacobi equation with running cost.
