Stability analysis of linear 2-D systems

被引：26
作者：
Liu, Tao [1 ]
机构：
[1] Univ Sci & Technol Beijing, Dept Commun Engn, Informat Engn Sch, Beijing 100083, Peoples R China
来源：
SIGNAL PROCESSING | 2008年 / 88卷 / 08期
关键词：
stability; two-dimensional systems; nonnegative matrix;
D O I：
10.1016/j.sigpro.2008.02.007
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The present paper is concerned with stability analysis of linear two-dimensional systems described by Fornasini-Marchesini state-space model. Necessary and sufficient conditions for asymptotic stability of the systems are obtained first. Several simple stability criteria are derived via the nonnegative matrix theory, which are sharper than those in literature. When all the parameter matrices are nonnegative, the criteria are necessary and sufficient for stability of the system. Illustrative examples are provided. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：2078 / 2084
页数：7
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