Extensions of the bounded real lemma of discrete-time systems

被引：0
|
作者：
Wimmer, HK [1 ]
机构：
[1] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2000年 / 73卷 / 14期
关键词：
D O I：
10.1080/002071700421718
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper the bounded real lemma for discrete-time systems is extended in several directions. It is shown that an H-infinity-norm bound for a (not necessarily stable) transfer matrix T(z) combined with controllability of unimodular eigenvalues yields the existence of an unmixed solution of the algebraic Riccati equation (ARE) associated with T(z). Conversely, it is proved that the existence of a (not necessarily stabilizing) solution of the associated ARE implies bounded realness of T(z). Inertia results are obtained and a condition for the existence of negative semidefinite solutions of the associated ARE is given.
引用
收藏
页码：1322 / 1328
页数：7
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