Amol Sasane

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math.OC2012

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…

math.OC2010

The new $ν$ -metric induces the classical gap topology

Amol Sasane

Let $\calA_+$ denote the set of Laplace transforms of complex Borel measures $μ$ on $[0, + \infty)$ such that $μ$ does not have a singular non-atomic part. In \cite{BalSas}, an exten…

math.OC2010

Extension of the $ν$ -metric

Joseph A. Ball, Amol J. Sasane

We extend the $ν$ -metric introduced by Vinnicombe in robust control theory for rational plants to the case of infinite-dimensional systems/classes of nonrational transfer functions…

A generalized chordal metric making strong stabilizability a robust property

The new ν-metric induces the classical gap topology

Extension of the ν-metric

The new $ν$ -metric induces the classical gap topology

Extension of the $ν$ -metric