L2 and BIBO-stability of systems with variable delays

Catherine Bonnet (1) , Jonathan Partington (2)

1 DISCO - Dynamical Interconnected Systems in COmplex Environments
2 School of Mathematics [Leeds]

There has been a growing interest in systems with time-varying delays in recent years and to the best of our knowledge, no study has been made of the input-output stability of a standard feedback scheme involving a system with time-varying delays. We consider here two versions of input-output stability: so-called Hinfinity and BIBO-stability. Retarded and neutral type systems with pointwise or distributed delays are studied here. We perform a stability analysis and discuss feedback stabilization. The results we derive yield very explicit estimates for stability margins, as will be seen by considering the examples we present.

Domaines: Automatique

Catherine Bonnet, Jonathan Partington. L2 and BIBO-stability of systems with variable delays. 15th IFAC Workshop on Time Delay Systems, Sep 2019, Sinaia, Romania. ⟨hal-02421180⟩