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—We present an axiomatic framework for seeking distances between power spectral density functions. The axioms require that the sought metric respects the effects of additive and multiplicative noise in reducing our ability to discriminate spectra, as well as they require continuity of statistical quantities with respect to perturbations measured in the… (More)

1951 finding a Lyapunov function satisfying the estimate (2.2) for this class of systems. ACKNOWLEDGMENT The authors would like to thank Dr. B. Jayawardhana for his comments on their main results in Section III, and an anonymous referee for the second example in Section IV. REFERENCES [1] P. Moylan, " Implications of passivity in a class of nonlinear… (More)

— The parametrization of solutions to scalar interpolation problems with a degree constraint relies on the concept of spectral-zeros –these are the poles of the inverse of a corresponding spectral factor. In fact, under a certain degree constraint, the spectral-zeros are free (modulo a stability requirement) and parameterize all solutions. The subject of… (More)

— We present an axiomatic framework for seeking a distance between power spectral density functions. The axioms require that the sought metric respects the effects of additive and multiplicative noise in reducing our ability to discriminate spectra, as well as the require continuity of statistical quantities with respect to perturbations measured in the… (More)

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