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$L_2$ and BIBO stability of systems with variable delays

Catherine Bonnet 1 Jonathan Partington 2
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
Inria Saclay - Ile de France, L2S - Laboratoire des signaux et systèmes
Abstract : This paper considers $L_2$ and BIBO stability and stabilization issues for systems with time-varying delays which can be of retarded or neutral type. An important role is played by a nominal system with fixed delays which are close to the time-varying ones. Under stability or stabilizability conditions of this nominal system, sufficient conditions are given in order to ensure similar properties for the system with time-varying delays.
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Submitted on : Tuesday, February 9, 2021 - 4:35:49 PM
Last modification on : Thursday, January 6, 2022 - 4:30:02 PM
Long-term archiving on: : Monday, May 10, 2021 - 7:02:19 PM


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  • HAL Id : hal-03136388, version 1


Catherine Bonnet, Jonathan Partington. $L_2$ and BIBO stability of systems with variable delays. Systems and Control Letters, Elsevier, 2020. ⟨hal-03136388⟩



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