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Remarks on excitability, stability and sign of equilibria in cooperative systems

Authors: Piccardi C, Rinaldi S

Publication Year: 2002

Reference: Systems and Control Letters, 46(3):153-163 (5 July 2002) (Published online 16 April 2002)

Abstract

The strict positivity of equilibria is known to be equivalent to asymptotic stability in excitable positive linear systems. In contrast with intuition, this property does not hold for nonlinear cooperative systems. However, weaker results are pointed out and proved to be effective in the analysis of several nonlinear cooperative systems.
KEYWORDS: Cooperative systems; Excitability; Positive systems; Positivity of equilibria; Stability