Title :
Necessary and sufficient conditions for LTI representations of adaptive systems with sinusoidal regressors
Author :
Bayard, David S.
Author_Institution :
Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA
Abstract :
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
Keywords :
adaptive systems; filtering theory; linear systems; matrix algebra; signal processing; transfer functions; LTI representations; adaptive systems; convergence; necessary and sufficient conditions; robustness properties; sinusoidal regressors; sinusoidal signals; stability; Adaptive systems; Convergence; Filtering; Power harmonic filters; Propulsion; Robust stability; Stability analysis; Sufficient conditions; Transfer functions; Vectors;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.610863
