Stability, attraction domains, and ultimate boundedness for nonlinear neutral systems

A.P. Tchangani (1) , Michel Dambrine (2) , Jean-Pierre Richard (3, 4)

1 ENIT - Ecole Nationale d'Ingénieurs de Tarbes
2 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201
3 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
4 Centrale Lille

This paper deals with the stability, the stability domains estimation, and the asymptotic behaviours analysis for a class of nonlinear neutral systems. The notion of degenerate comparison system is defined. It leads to stability conditions in the form of two separate conditions that are to be checked on two simple systems: the first one is an ordinary differential equation, and the second one is an ordinary difference equation.

Mots clés: Stability domains; Comparison principal; Delay systems; Functional differential equations; Neutral systems; Stability

Domaines: Informatique [cs]; Automatique; Mathématiques [math]; Systèmes dynamiques [math.DS]; Sciences de l'ingénieur [physics]; Automatique / Robotique

A.P. Tchangani, Michel Dambrine, Jean-Pierre Richard. Stability, attraction domains, and ultimate boundedness for nonlinear neutral systems. Mathematics and Computers in Simulation, 1998, 45 (3-4), pp.291-298. ⟨10.1016/S0378-4754(97)00108-0⟩. ⟨hal-02560914⟩