Linear Lyapunov Functions for Nonlinear Compartmental Systems
Artikel i vetenskaplig tidskrift, 2026
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.
Compartmental systems
Stability Analysis
traffic flow theory
Linear Lyapunov Functions
traffic reaction model
Författare
Sondre Chanon Wiersdalen
Chalmers, Elektroteknik, System- och reglerteknik
Mike Pereira
Université de recherche Paris Sciences et Lettres
Annika Lang
Göteborgs universitet
Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik
Jean Auriol
Université Paris-Saclay
Gabor Szederkenyi
Pázmány Péter Katolikus Egyetem
Balázs Adam Kulcsár
Chalmers, Elektroteknik, System- och reglerteknik
IEEE Transactions on Automatic Control
0018-9286 (ISSN) 1558-2523 (eISSN)
Vol. In PressStyrkeområden
Transport
Ämneskategorier (SSIF 2025)
Beräkningsmatematik
Matematisk analys
Reglerteknik
DOI
10.1109/TAC.2026.3708062