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arXiv · 2312.11061

Linear Lyapunov Functions for Nonlinear Compartmental Systems

Sondre Wiersdalen·Mike Pereira·Annika Lang·Gabor Szederkenyi·Jean Auriol·Balazs Kulcsar
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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.

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Sondre Wiersdalen, Mike Pereira, Annika Lang, Gabor Szederkenyi, Jean Auriol, Balazs Kulcsar. 2023-12-18. Linear Lyapunov Functions for Nonlinear Compartmental Systems. https://arxiv.org/abs/2312.11061

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