Measuring How Far a Controllable System is from an Uncontrollable One

Daniel L. Boley; Wu Sheng Lu

doi:10.1109/TAC.1986.1104240

Measuring How Far a Controllable System is from an Uncontrollable One

Daniel L. Boley
, Wu Sheng Lu

Computer Science and Engineering

Research output: Contribution to journal › Article › peer-review

64 Scopus citations

Abstract

The main goal of this note is to explore some of the properties of a controllable system which, in a precise sense to be defined, is near an uncontrollable pair. To do this, we first discuss the notion of the distance between a controllable system and the nearest uncontrollable one in both real and complex cases [2]–[5]. When this distance is relatively small, we show to what extent this distance corresponds to certain properties of the uncontrollability matrix and the reachability Grammian.

Original language	English (US)
Pages (from-to)	249-251
Number of pages	3
Journal	IEEE Transactions on Automatic Control
Volume	31
Issue number	3
DOIs	https://doi.org/10.1109/TAC.1986.1104240
State	Published - Mar 1986

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10.1109/TAC.1986.1104240

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Measuring How Far a Controllable System is from an Uncontrollable One

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