6 papers
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…
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…
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…
A generalized chordal metric making strong stabilizability a robust property
Amol Sasane
An abstract chordal metric is defined on linear control systems described by their transfer functions. Analogous to a previous result due to Jonathan Partington ("Robust control an…
The new -metric induces the classical gap topology
Amol Sasane
Let $\calA_+$ denote the set of Laplace transforms of complex Borel measures on such that does not have a singular non-atomic part. In \cite{BalSas}, an exten…
Extension of the -metric
Joseph A. Ball, Amol J. Sasane
We extend the -metric introduced by Vinnicombe in robust control theory for rational plants to the case of infinite-dimensional systems/classes of nonrational transfer functions…