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## Section: New Results

### $L2$ and BIBO Stability of systems with variable delays

Participants : Catherine Bonnet, Jonathan R. Partington [Univ of Leeds,U.K.] .

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 have considered 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 [40].