Key result
A new metric on linear, time-invariant systems was defined that is no greater than the gap metric and provides a clear frequency response interpretation for robust stabilization.
The paper defines a new metric for linear, time-invariant systems that allows robustness questions regarding parametric uncertainty to be considered with a frequency response interpretation.
Offers frequency-domain tool for LTI robust stabilization; extends gap metric theory but leaves validation open.
A new metric on linear, time-invariant systems is defined. This metric is no greater than the gap metric, and is in fact the smallest metric for which a certain robust stabilization result holds. Unlike other known metrics which induce the graph topology, it has a clear frequency response interpretation. This allows questions regarding robustness in the face of parametric uncertainty to be considered in terms of this metric.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Glenn Vinnicombe (1993) studied Linear, time-invariant systems. New metric on linear, time-invariant systems vs. Gap metric and other known metrics was evaluated on Robust stabilization and frequency response interpretation. A new metric on linear, time-invariant systems was defined that is no greater than the gap metric and provides a clear frequency response interpretation for robust stabilization.
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