Stabilization of discrete-time linear systems with infinite distributed input delays

被引：3
作者：
Guo, Yige [1 ,2 ]
Xu, Xiang [3 ]
Liu, Lu [2 ]
Wang, Yong [1 ]
Feng, Gang [2 ]
机构：
[1] Univ Sci & Technol China, Dept Automation, Hefei 230026, Peoples R China
[2] City Univ Hong Kong, Dept Biomed Engn, Kowloon, Hong Kong, Peoples R China
[3] Southern Univ Sci & Technol, Dept Elect & Elect Engn, Shenzhen, Peoples R China
来源：
AUTOMATICA | 2023年 / 148卷
关键词：
Discrete-time systems; Infinite delays; Distributed input delays; Stabilization; FUNCTIONAL DIFFERENCE-EQUATIONS; STABILITY ANALYSIS; PREDICTOR FEEDBACK; GLOBAL STABILITY; EQUIVALENCE; RAZUMIKHIN; NETWORKS; BEHAVIOR;
D O I：
10.1016/j.automatica.2022.110786
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the stabilization problem of discrete-time linear systems with infinite dis-tributed input delays. A novel framework is adopted to analyze the stability of the concerned systems. Under this framework, two truncated predictor feedback controllers are developed for two classes of discrete-time linear systems with infinite distributed input delays via the low gain method respectively. It is shown that under the designed controllers, those two classes systems are globally exponentially stable. To the best of our knowledge, this is the first time that the stabilization problem of discrete-time linear systems with infinite distributed input delays is considered. Two simulation examples are provided to illustrate the effectiveness of the proposed controllers. (c) 2022 Elsevier Ltd. All rights reserved.
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页数：9
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