Positive l1-gain asynchronous filter design of positive Markov jump systems

被引：10
|
作者：
Yin, Kai [1 ]
Yang, Dedong [1 ]
Liu, Jiao [1 ]
Li, Hongchao [1 ]
机构：
[1] Hebei Univ Technol, Sch Artificial Intelligence, Tianjin 300130, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 15期
关键词：
LINEAR-SYSTEMS; STABILITY; DELAY;
D O I：
10.1016/j.jfranklin.2020.08.033
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Research is made in the positive l(1)-gain asynchronous filter design problem of positive Markov jump systems (PMJSs) in this paper. To describe the nonsynchronization between system modes and filter modes, a hidden Markov model is introduced. For the positive asynchronous filtering error system, the l(1)-gain performance is analyzed and a sufficient and necessary condition is given to ensure the stochastically internally stability by means of the augmentation system approach. Based on the obtained results, two equivalent conditions are derived and the corresponding positive l(1)-gain asynchronous filter is also designed. Finally, two numerical examples are provided to verify the effectiveness of our results. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：11072 / 11093
页数：22
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