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) |
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Pages (from-to) | 249-251 |
Number of pages | 3 |
Journal | IEEE Transactions on Automatic Control |
Volume | 31 |
Issue number | 3 |
DOIs | |
State | Published - Mar 1986 |