L2 and BIBO-stability of systems with variable delays

Abstract : 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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https://hal.inria.fr/hal-02421180
Contributor : Catherine Bonnet <>
Submitted on : Friday, December 20, 2019 - 12:13:11 PM
Last modification on : Wednesday, January 8, 2020 - 12:06:31 PM

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  • HAL Id : hal-02421180, version 1

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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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