adversarial control 1hamilton-jacobi reachability 1optimal drug dosing 1safe control 1value function decomposition 1
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eess.SY2026
Exact Decomposition of Adversarial Dual-Objective Value Functions, with Applications to Optimal Drug Dosing
Dylan Hirsch, William Sharpless, Sylvia Herbert
The paper proves that certain decompositions of dual‑objective value functions remain valid when an adversary is present, and demonstrates how this can be used to design optimal dr…
eess.SY2025
State-Augmented Linear Games with Antagonistic Error for High-Dimensional, Nonlinear Hamilton-Jacobi Reachability
Will Sharpless, Yat Tin Chow, Sylvia Herbert
Hamilton-Jacobi Reachability (HJR) is a popular method for analyzing the liveness and safety of a dynamical system with bounded control and disturbance. The corresponding HJ value…
eess.SY2025
Conservative Linear Envelopes for Nonlinear, High-Dimensional, Hamilton-Jacobi Reachability
Will Sharpless, Yat Tin Chow, Sylvia Herbert
Hamilton-Jacobi reachability (HJR) provides a value function that encodes the set of states from which a system with bounded control inputs can reach or avoid a target despite any…