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math.OC2012
Reformulation of the extension of the -metric for
Marie Frentz, Amol Sasane
The classical nu-metric introduced by Vinnicombe in robust control theory for rational plants was extended to classes of nonrational transfer functions in Ball and Sasane [Complex…
math.OC2012
Algebraic characterization of autonomy and controllability of behaviours of spatially invariant systems
Amol Sasane
We give algebraic characterizations of the properties of autonomy and of controllability of behaviours of spatially invariant dynamical systems, consisting of distributional soluti…
math.FA2012
Shannon's sampling theorem in a distributional setting
Amol Sasane
The classical Shannon sampling theorem states that a signal f with Fourier transform F in L^2(R) having its support contained in (-π,π) can be recovered from the sequence of sample…