On the Kalman-Yakubovich-Popov lemma and the multidimensional models

被引：25
作者：
Bachelier, Olivier [2 ]
Paszke, Wojciech [1 ]
Mehdi, Driss [2 ]
机构：
[1] Eindhoven Univ Technol, Control Syst Technol Grp, NL-5600 MB Eindhoven, Netherlands
[2] Univ Poitiers, LAII, ESIP, F-86022 Poitiers, France
来源：
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING | 2008年 / 19卷 / 3-4期
关键词：
KYP lemma; hybrid n-D Roesser model; S-procedure; polynomial matrix partial derivative D-regularity; LMI;
D O I：
10.1007/s11045-008-0055-2
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper focuses on Kalman-Yakubovich-Popov lemma for multidimensional systems described by Roesser model that possibly includes both continuous and discrete dynamics. It is shown that, similarly to the standard 1-D case, this lemma can be studied through the lens of S-procedure. Furthermore, by virtue of this lemma, we will examine robust stability, bounded and positive realness of multidimensional systems.
引用
收藏
页码：425 / 447
页数：23
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