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Persistence of Excitation, RBF Approximation and Periodic Orbits

Wang, Cong; Hill, David


Satisfying the persistence of excitation (PE) condition is an important and yet challenging problem in system identification and adaptive control. In this paper, it is shown that a regressor vector consisted of radial basis functions can satisfy the PE condition. Specifically, for radial basis function networks (RBFN) constructed on a regular lattice, any periodic orbit that stays within the regular lattice can lead to the satisfaction of a partial PE condition. The significance of this result...[Show more]

CollectionsANU Research Publications
Date published: 2005
Type: Conference paper
Source: Proceedings of the 2005 International Conference on Control and Automation


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