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Persistent excitation in adaptive systems. (English) Zbl 0627.93041
The paper is written with three objectives. The first, which is tutorial in nature, is to provide a general framework for the discussion of persistent excitation (PE) and to collect results in the area, which are scattered throughout the adaptive literature. The second objective is to present some new results related to the uniform asymptotic stability (u.a.s.) and robustness of adaptive systems and the relation of PE to the stability properties of a class of nonlinear systems. The final objective is to discuss the implications of PE in future problems, including adaptive control using a reduced-order model.
Reviewer: E.Eitelberg

MSC:
93C40 Adaptive control/observation systems
93D20 Asymptotic stability in control theory
93E12 Identification in stochastic control theory
93B35 Sensitivity (robustness)
93C10 Nonlinear systems in control theory
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