The feasible states for a sequence of reach-avoid tasks under disturbances are exactly the super-level set of a value function built from a cascade of Hamilton-Jacobi variational inequalities.
Hamilton-jacobi reachability: A brief overview and recent advances
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Control Synthesis for Multiple Reach-Avoid Tasks via Hamilton-Jacobi Reachability Analysis
The feasible states for a sequence of reach-avoid tasks under disturbances are exactly the super-level set of a value function built from a cascade of Hamilton-Jacobi variational inequalities.