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S ⊆ X
A compact, forward-invariant subset of the state space within which regeneration can occur. The viable region captures minimal operating thresholds—funding baselines, governance coherence, asset-maintenance minimums. Trajectories leaving S enter failure states where regeneration becomes impossible.
For a health system, S includes states where equipment ages are below critical limits, staffing meets minimums, and budgets cover essential operations. Outside S, the system collapses and cannot regenerate.
FRS Section 2.6