Mir Shahrouz Takyar

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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)
— It is a well-known fact that set-point following, in linear control systems, requires an integrator in the feedback loop. However, such an integrator introduces phase lag which may often have a destabilizing effect. A variety of options exist for adding lead to mediate this effect. In this paper we consider yet another option, a fractional integrator. We(More)
We present a technique for spectral analysis in the context of multi-rate sampling by a collection of sensors. Correlation of the time-domain samples gives rise to moment constraints for the power spectrum. A homotopy-based technique is then used to identify consistent power spectra. The spectra we obtain are at a minimum distance in the Kullback-Leibler(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)
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