On practical stability with the settling time via vector norms

W. Perruquetti (1, 2) , Jean-Pierre Richard (1, 2) , Lj. Grujić , P. Borne (3, 2)

1 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
2 Centrale Lille
3 LAGIS-OSL

This paper gives a workable method for practical stability study (with settling time) of nonlinear time-varying disturbed systems. Sufficient conditions are obtained by the use of vector norms, which allow estimation of initial, final, admissible subsets of state space, related to chosen settling time and final time. A numerical example is given to illustrate results.

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

W. Perruquetti, Jean-Pierre Richard, Lj. Grujić, P. Borne. On practical stability with the settling time via vector norms. International Journal of Control, 1995, 62 (1), pp.173-189. ⟨10.1080/00207179508921538⟩. ⟨hal-02560935⟩