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Necessary and sufficient conditions for LTI representations of adaptive systems with sinusoidal regressors

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1 Author(s)
Bayard, D.S. ; Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA

Establishes necessary and sufficient conditions for an adaptive system with a sinusoidal regressor (i.e., a regressor comprised exclusively of sinusoidal signals) to admit an exact linear time-invariant (LTI) representation. These conditions are important because a large number of adaptive systems used in practice have sinusoidal regressors, and the stability, convergence and robustness properties of systems having LTI representations can be completely analyzed by well-known methods

Published in:

American Control Conference, 1997. Proceedings of the 1997  (Volume:3 )

Date of Conference:

4-6 Jun 1997