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Speed-gradient Adaptive High-gain Observers for Synchronization of Chaotic Systems

Elena Panteley, Antonio Loria, Arturo Zavala
We address the problem of output feedback synchronization of certain chaotic systems, under
parameter uncertainty. That is, given a master system, the objective is to design a slave system that
copies the dynamics of the master and reconstructs both the state and the values of the constant
parameters of the master system. Hence, the synchronization problem that we address enters in the
framework of Pecora and Carroll and relies on adaptive observer theory. In particular, the conditions
that we impose take the form of persistency of excitation.
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