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A Forward Reachability Perspective on Robust Control Invariance and Discount Factors in Reachability Analysis
We also formulate a zero-sum differential game between the control and disturbance, where the inevitable FRT is characterized by the zero-superlevel set of the value function.
Infinite-Horizon Reach-Avoid Zero-Sum Games via Deep Reinforcement Learning
We address this problem by designing a new value function with a contracting Bellman backup, where the super-zero level set, i. e., the set of states where the value function is evaluated to be non-negative, recovers the reach-avoid set.
Towards cyber-physical systems robust to communication delays: A differential game approach
Collaboration between interconnected cyber-physical systems is becoming increasingly pervasive.
A Computationally Efficient Hamilton-Jacobi-based Formula for State-Constrained Optimal Control Problems
Based on the Lax formula [2], this paper proposes an HJ formula for the state-constrained optimal control problem for nonlinear systems.
Robust Control Barrier-Value Functions for Safety-Critical Control
This paper works towards unifying two popular approaches in the safety control community: Hamilton-Jacobi (HJ) reachability and Control Barrier Functions (CBFs).
