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Linear Lyapunov Functions for Nonlinear Compartmental Sys...
[Submitted on 18 Dec 2023 (v1), last revised 23 Jun 2026 (this v · 2026-06-25 · via math updates on arXiv.org

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Abstract:This technical note examines exponential stability of the null solution to a large class of compartmental systems governed by ordinary differential equations. Sufficient conditions under which these systems admit a linear Lyapunov function are provided. The coefficients of the Lyapunov functions and the exponential decay rate they yield are obtained from an eigenvalue problem. For a special case of the system class considered, we derive an equivalence between attractivity of the null solution and the existence of a linear Lyapunov function.

Submission history

From: Sondre Wiersdalen [view email]
[v1] Mon, 18 Dec 2023 09:57:10 UTC (831 KB)
[v2] Thu, 20 Feb 2025 15:53:54 UTC (94 KB)
[v3] Tue, 23 Jun 2026 21:12:01 UTC (123 KB)