Abstract
Positive realness is an important concept in control theory. For linear discrete-time descriptor systems, the positive realness lemma involves non-strict linear matrix inequality (LMI) and may cause numerical problems in practice. Here, strict LMI characterisation for positive realness for linear discrete-time descriptor systems is established. The new characterisation can be efficiently solved by the standard LMI toolbox and may take important functions in related design problems.
| Original language | English |
|---|---|
| Pages (from-to) | 1277-1281 |
| Number of pages | 5 |
| Journal | IET Control Theory and Applications |
| Volume | 4 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jul 2010 |
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