Existence of a common diagonal Lyapunov function, or of a joint linear copositive function under an irreducibility condition, ensures robust diffusive stability for coupled positive systems.
Mason, Diagonal Riccati stability and positive time-delay systems, Systems & Control Letters 61 (1) (2012) 6–10 13
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Observations on robust diffusive stability and common Lyapunov functions
Existence of a common diagonal Lyapunov function, or of a joint linear copositive function under an irreducibility condition, ensures robust diffusive stability for coupled positive systems.