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
收藏
页数：10
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