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A new adaptive estimator for linear systems

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2 Author(s)
Rimon, E. ; Dept. of Electr. Eng., Yale Univ., New Haven, CT, USA ; Narendra, K.S.

An adaptive estimator is proposed for a linear time-invariant plant with unknown parameters. The estimator is (globally) uniformly asymptotically stable, provided that the control input is persistently exciting. In particular, there is no need to solve the Lyapunov equation. This result implies that in many other adaptive situations it is not necessary to explicitly solve the Lyapunov equation

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Automatic Control, IEEE Transactions on  (Volume:37 ,  Issue: 3 )