Linear Lyapunov Functions for Nonlinear Compartmental Systems
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.
Fields of Study & Subjects
Traffic control and management
Simulation Techniques and Applications
Transportation Planning and Optimization
Publication details
- Journal / source
- IEEE Transactions on Automatic Control
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Pages
- 1–8
- Publication date
- 1 January 2026
- Language
- EN