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L2 and BIBO-stability of systems with variable delays

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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.
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hal-02421180 , version 1 (20-12-2019)


  • HAL Id : hal-02421180 , version 1


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⟩
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