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On the persistence of excitation in the adaptive estimation of distributed parameter systems

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2 Author(s)
M. A. Demetriou ; Center for Res. in Sci. Comput., North Carolina State Univ., Raleigh, NC, USA ; I. G. Rosen

Persistence of excitation is a sufficient condition for parameter convergence in adaptive identification schemes for dynamical systems. For abstract parabolic and hyperbolic distributed parameter systems, this condition requires that a family of bounded linear functionals be norm bounded away from zero. The level of persistence of excitation of the plant and its implications are considered for a simple parabolic and hyperbolic system. Its effect on the qualitative and quantitative behavior of the estimators is investigated

Published in:

IEEE Transactions on Automatic Control  (Volume:39 ,  Issue: 5 )