H _ Index for Stochastic Linear Discrete-Time Systems

被引：0

作者：

Li, Yan ^{[1
]}

Zhang, Weihai ^{[1
]}

Liu, Xikui ^{[2
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao 266590, Shandong, Peoples R China

[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2015年 / 2015卷

基金：

中国国家自然科学基金;

关键词：

FAULT-DETECTION; H-2/H-INFINITY CONTROL; STATE;

D O I：

10.1155/2015/953831

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper discusses the H - index problem for stochastic linear discrete-time systems. A necessary and sufficient condition of H - index is given for such systems in finite horizon. It is proved that when theH - index is greater than a given value, the feasibility of H - index is equivalent to the solvability of a constrained difference equation. The above result can be applied to the fault detection observer design. Finally, some examples are presented to illustrate the proposed theoretical results.

引用

页数：10

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