4 papers · 1 filter
Probabilistic Reach-Avoid Reachability in Nondeterministic Systems with Time-VaryingTargets and Obstacles
Wei Liao, Taotao Liang, Xiaohui Wei +1
The probabilistic reachability problems of nondeterministic systems are studied. Based on the existing studies, the definition of probabilistic reachable sets is generalized by tak…
Computation of Reachable Sets Based on Hamilton-Jacobi-Bellman Equation with Running Cost Function
Weiwei Liao, Tao Liang
A novel method for computing reachable sets is proposed in this paper. In the proposed method, a Hamilton-Jacobi-Bellman equation with running cost functionis numerically solved an…
A Novel Unified Framework for Solving Reachability, Viability and Invariance Problems
Wei Liao, Taotao Liang, Xiaohui Wei +1
The level set method is a widely used tool for solving reachability and invariance problems. However, some shortcomings, such as the difficulties of handling dissipation function a…
An Improved Level Set Method for Reachability Problems in Differential Games
Wei Liao, Taotao Liang, Pengwen Xiong +3
This study focuses on reachability problems in differential games. An improved level set method for computing reachable tubes is proposed in this paper. The reachable tube is descr…