2 papers
math.OC2025
Upper and Lower Bounds for a Class of Constrained Linear Time-Varying Games
Vincent Liu, Chris Manzie, Peter M. Dower
This paper develops an algorithm for upper- and lower-bounding the value function for a class of linear time-varying games subject to convex control sets. In particular, a two-play…
math.OC2025
A Hamilton-Jacobi-Bellman Approach to Ellipsoidal Approximations of Reachable Sets for Linear Time-Varying Systems
Vincent Liu, Chris Manzie, Peter M. Dower
Reachable sets for a dynamical system describe collections of system states that can be reached in finite time, subject to system dynamics. They can be used to guarantee goal satis…