Stability and stability domains analysis for nonlinear differential-difference equations

Michel Dambrine (1) , Jean-Pierre Richard (2, 3)

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

In this paper, the problem of stability analysis of nonlinear time-delay systems is considered by using comparison-like methods. The main tool is the concept of vector norms which gives a systematic way of defining comparison systems. Examples illustrate the study.

Domaines: Automatique; Systèmes dynamiques [math.DS]; Automatique / Robotique

Michel Dambrine, Jean-Pierre Richard. Stability and stability domains analysis for nonlinear differential-difference equations. Dynamic Systems and Applications, 1994, 3, pp.369-378. ⟨hal-02560655⟩