Analytical stability study of a deterministic car following model under multiple delay interactions

Rifat Sipahi (1) , Silviu-Iulian Niculescu (2)

1 Department of Mechanical and Industrial Engineering [Boston]
2 Heudiasyc - Heuristique et Diagnostic des Systèmes Complexes [Compiègne]

Analytical stability study of some deterministic car following models under time-delay influences is presented and various case studies are demonstrated. Interestingly, for some control law deployed by human drivers, more than one stability interval in the domain of time delay is revealed. Physical interpretations along with comparisons conclude the study.

Mots clés: Delay; Sensitivity; Stability; Car Following Model

Domaines: Automatique / Robotique

Rifat Sipahi, Silviu-Iulian Niculescu. Analytical stability study of a deterministic car following model under multiple delay interactions. 6th IFAC Workshop on Time Delay Systems, TDS 2006, Jul 2006, L'Aquila, Italy. pp.187-192. ⟨hal-02294071⟩