Hill functions are the unique maximizers of sharpness (n/4) among degree-n rational functions obeying 0 ≤ α_i ≤ β_i.
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Introduces logistic-based GRN control with explicit feedforward-proportional laws, quadratic Lyapunov certificates for global exponential stability, monostabilization budgets, and delay-uniform stability theorems.
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Sharpness characterizes Hill functions
Hill functions are the unique maximizers of sharpness (n/4) among degree-n rational functions obeying 0 ≤ α_i ≤ β_i.