Finite-time consensus and stability of networked nonlinear systems

Naim Zoghlami (1) , Lotfi Beji (1) , Rhouma Mlayeh (2) , Azgal Abichou (2)

1 IBISC - Informatique, Biologie Intégrative et Systèmes Complexes
2 LIM - Laboratoire d'Ingénierie Mathématique

This paper considers the finite-time consensus and stability problems of networked nonlinear systems under an undirected fixed graph. A nonlinear system takes a general form of a controlled first-order differential equation with/without drift term. Sufficient conditions for finite-time consensus and stabilization of networked nonlinear systems are achieved. In multi-system formation, the proposed theoretical approach generalizes the literature results for multi-agent stability and consensus. Heterogenous/homogeneous multi-system formation is a direct application of the given analysis. Some examples are integrated for illustration.

Domaines: Automatique / Robotique

Naim Zoghlami, Lotfi Beji, Rhouma Mlayeh, Azgal Abichou. Finite-time consensus and stability of networked nonlinear systems. 52nd IEEE Conference on Decision and Control (CDC 2013), Dec 2013, Florence, Italy. pp.6604--6609, ⟨10.1109/CDC.2013.6760934⟩. ⟨hal-01016915⟩