On the passivity of linear delay systems

Silviu-Iulian Niculescu (1) , Rogelio Lozano (1)

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

This paper 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.

Mots clés: Asymptotic stability; Control system synthesis; Delay control systems; Differential equations; Functions; Lyapunov methods; Linear delay systems; Lyapunov-Krasovskii functional; Passivity; Linear systems

Domaines: Automatique / Robotique

Silviu-Iulian Niculescu, Rogelio Lozano. On the passivity of linear delay systems. 2000 American Control Conference, Jun 2000, Chicago, United States. pp.976-977. ⟨hal-02299350⟩