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arXiv · 2003.06196

$L_2$ and BIBO stability of systems with variable delays

Catherine Bonnet·Jonathan R. Partington
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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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Catherine Bonnet, Jonathan R. Partington. 2020-03-13. $L_2$ and BIBO stability of systems with variable delays. https://arxiv.org/abs/2003.06196

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