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Stability Analysis of Monotone Systems via Max-Separable Lyapunov Functions

Stability Analysis of Monotone Systems via Max-Separable Lyapunov Functions

We analyze stability properties of monotone nonlinear systems via max-separable Lyapunov functions, motivated by the following observations: first, recent results have shown that asymptotic stability of a monotone nonlinear system implies the existence of a max-separable Lyapunov function on a compact set; second, for monotone linear systems, asymptotic stability implies …