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Stability Analysis for Sampled-Data Systems with Input Delay

Abstract : This article proposes a novel approach to assess the stability of linear systems with delayed and sampled-data inputs. It proposes an extension of existing results on the stability of sampled-data systems to the case where a delay is introduced in the control loop. The method is based on a continuous-time modelling of the systems together with the discrete-time Lyapunov theorem, which provides easy tractable sufficient conditions for asymptotic stability. Those conditions cope the problem of stability under asynchronous samplings and time-varying delays. The period and delay-dependent conditions are expressed using computable linear matrix inequalities. Several examples show the efficiency of the stability criteria.
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https://hal.archives-ouvertes.fr/hal-00760259
Contributor : Alexandre Seuret <>
Submitted on : Monday, December 3, 2012 - 4:04:33 PM
Last modification on : Thursday, July 9, 2020 - 5:02:03 PM

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Alexandre Seuret, Wenjuan Jiang. Stability Analysis for Sampled-Data Systems with Input Delay. Advanced Science Letters, American Scientific Publishers, 2012, 11 (1), pp.456-461. ⟨10.1166/asl.2012.2944⟩. ⟨hal-00760259⟩

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