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Pré-Publication, Document De Travail Année : 2013

Adaptive observers-based synchronization of a class of lur'e systems under transmission delays

Résumé

We propose an adaptive observers-based synchronization approach for a class of chaotic Lur'e systems with slope-restricted nonlinearities and uncertain parameters, under transmission time-delays. The delay is assumed to be bounded and time varying and the uncertain parameters are assumed to be piece-wise constant. Based on the Lyapunov-Krasovskii approach, we show that for sufficiently short time-delays, master-slave synchronization is achieved and therefore, the uncertain parameters may be recovered. Then, the proposed approach is extended to the case of long constant time-delays by proposing a synchronization scheme based on cascade observers. Theoretical results are illustrated via two numerical examples.
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Dates et versions

hal-00831476 , version 1 (07-06-2013)

Identifiants

  • HAL Id : hal-00831476 , version 1

Citer

Habib Dimassi, Antonio Loria, Safya Belghith. Adaptive observers-based synchronization of a class of lur'e systems under transmission delays. 2013. ⟨hal-00831476⟩
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