On the passivity of linear delay systems

Silviu-Iulian Niculescu (1) , R. Lozano (1)

1 Heudiasyc - Heuristique et Diagnostic des Systèmes Complexes [Compiègne]

This note presents some sufficient conditions for a linear system with (point or distributed) delay in the state to be passive. Passivity based (memoryless) stabilization of linear delay systems is also addressed. The proposed approach is based on a Lyapunov-Krasovskii functional construction. Numerical examples are also included.

Mots clés: Delay; Lyapunov-Krasovskii; Passivity

Domaines: Automatique / Robotique

Silviu-Iulian Niculescu, R. Lozano. On the passivity of linear delay systems. IEEE Transactions on Automatic Control, 2001, 46 (3), pp.460-464. ⟨10.1109/9.911424⟩. ⟨hal-02295730⟩