A Necessary and Sufficient Stability Condition of Discrete-Time Monotone Systems: A Max-Separable Lyapunov Function Method

被引：0
|
作者：
Chen, Da [1 ,2 ]
Liu, Xingwen [3 ]
Shi, Kaibo [4 ]
Yang, Jun [3 ]
Tashi, Nyima [5 ]
机构：
[1] Southwest Minzu Univ, Coll Elect Engn, Key Lab Elect Informat, State Ethn Affairs Commiss, Chengdu 610225, Sichuan, Peoples R China
[2] Sichuan Univ, Coll Elect Engn, Chengdu 610065, Sichuan, Peoples R China
[3] Southwest Minzu Univ, Coll Elect Engn, Chengdu 610225, Sichuan, Peoples R China
[4] Chengdu Univ, Sch Elect Informat & Elect Engn, Chengdu 610106, Sichuan, Peoples R China
[5] Tibet Univ, Engn Res Ctr Tibetan Informat Proc, Sch Informat Sci & Technol, Lhasa 850000, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2024年 / 71卷 / 01期
关键词：
Discrete-time monotone systems; max-separable Lyapunov function; monotone linear systems; monotone nonlinear systems; stability; DESIGN;
D O I：
10.1109/TCSII.2023.3304088
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：
Addressed in this brief is the stability issue of discrete-time monotone nonlinear systems. With the assumption of the considered vector field being a one-to-one mapping, we established the equivalence between the locally asymptotic stability and the existence of a max-separable Lyapunov function on a compact set. This result is an extension of that of discrete-time monotone linear systems. Furthermore, it is a counterpart of continuous-time monotone nonlinear systems.
引用
收藏
页码：276 / 280
页数：5
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