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eess.SY2021
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…
eess.SY2021
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…
eess.SY2020
Recursive Regret Matching: A General Method for Solving Time-invariant Nonlinear Zero-sum Differential Games
Wei Liao, Xiaohui Wei, Jizhou Lai
In this paper, a new method is proposed to compute the rolling Nash equilibrium of the time-invariant nonlinear two-person zero-sum differential games. The idea is to discretize th…