Stability of some linear systems with delays

V.B. Kolmanovskii , Jean-Pierre Richard (1, 2)

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

Asymptotic stability of a class of linear equations with arbitrary discrete and distributed delays is investigated. Both delay-independent and delay-dependent stability conditions are formulated in terms of existence of positive definite solutions to Riccati matrix equations. The approach of deriving various Riccati equations using the direct Lyapunov method is proposed.

Mots clés: Time Delay Systems; Stability analysis

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

V.B. Kolmanovskii, Jean-Pierre Richard. Stability of some linear systems with delays. IEEE Transactions on Automatic Control, 1999, 44 (5), pp.984-989. ⟨10.1109/9.763213⟩. ⟨hal-02560701⟩