Stability and Exponential Stability of Complex-valued Discrete Linear Systems with Delay

被引：4

作者：

Zhu, Jingwen ^{[1
,2
]}

Sun, Jitao ^{[2
,3
]}

机构：

[1] Jinggangshan Univ, Coll Math & Phys, Jian 343009, Jiangxi, Peoples R China

[2] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China

[3] Univ Johannesburg, Fac Engn & Built Environm, Inst Intelligent Syst, Johannesburg, South Africa

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2018年 / 16卷 / 03期

关键词：

Complex-valued; discrete system; exponential stability; stability; RECURRENT NEURAL-NETWORKS; CONSTANT-COEFFICIENTS; TIME-DELAYS; GLOBAL STABILITY; SINGLE DELAY;

D O I：

10.1007/s12555-017-0243-7

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, we consider the stability and exponential stability of complex-valued discrete linear system with delay. By employing complex-valued Lyapunov matrix equation and complex-modulus inequality technique, sufficient conditions for stability and exponential stability of complex-valued discrete linear systems are established. What's more, we improve some previous results. Finally, two examples are discussed to illustrate the obtained results.

引用

页码：1030 / 1037

页数：8

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