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Adaptive observers with persistency of excitation for synchronization of chaotic aystems

dc.contributor.authorLoría, Antonio
dc.contributor.authorPanteley, Elena
dc.contributor.authorZavala Río, Arturo
dc.identifier.citationA. Loria, E. Panteley and A. Zavala-Rio, "Adaptive Observers With Persistency of Excitation for Synchronization of Chaotic Systems," in IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 56, no. 12, pp. 2703-2716, Dec. 2009. doi: 10.1109/TCSI.2009.2016636
dc.description.abstract"We address the problem of master-slave synchronization of chaotic systems under parameter uncertainty and with partial measurements. Our approach is based on observer-design theory hence, we view the master dynamics as a system of differential equations with a state and a measurable output and we design an observer (tantamount to the slave system) which reconstructs the dynamic behavior of the master. The main technical condition that we impose is persistency of excitation (PE), a property well studied in the adaptive control literature. In the case of unknown parameters and partial measurements we show that synchronization is achievable in a practical sense, that is, with ¿small¿ error. We also illustrate our methods on particular examples of chaotic oscillators such as the Lorenz and the Lu oscillators. Theoretical proofs are provided based on recent results on stability theory for time-varying systems."
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.subjectAdaptive control
dc.subjectChaos control
dc.subjectChaotic systems
dc.titleAdaptive observers with persistency of excitation for synchronization of chaotic aystems
dc.rights.accessAcceso Abierto

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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional