Exponential convergence of adaptive identification and control algorithms

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Anderson, Brian D.O.
Johnson, C. Richard

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Output and equation error adaptive identification algorithms are shown to be exponentially convergent under a deterministic or stochastic persistently exciting (or spanning) condition on the system inputs together with several other standard conditions. An adaptive control algorithm is shown to be exponentially convergent under a deterministic or stochastic persistently exciting condition on the reference trajectory together with some standard conditions.

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Automatica

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