Finite-time input-to-state stability of nonlinear systems: the discrete-time case

被引：3
|
作者：
Liang, Shuang [1 ]
Liang, Jinling [1 ,2 ]
机构：
[1] Southeast Univ, Sch Math, Nanjing, Peoples R China
[2] Linyi Univ, Sch Automat & Elect Engn, Linyi, Shandong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2023年 / 54卷 / 03期
关键词：
Input-to-state stability; discrete-time systems; finite-time stability; Lyapunov method; settling-time function; SWITCHED SYSTEMS; LINEAR-SYSTEMS; DELAY SYSTEMS; STABILIZATION; UNCERTAINTIES;
D O I：
10.1080/00207721.2022.2135418
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 extends the finite-time input-to-state stability (FTISS) issue to the discrete-time dynamical systems. Based on the Lyapunov method, sufficient conditions are derived to check the FTISS property of the discrete-time nonlinear systems with inputs. In addition, the generalised class-KL functions and the settling-time function capturing the finite settling-time behaviour of the dynamical system are constructed explicitly and well studied. In the end of the paper, a numerical example is provided to illustrate the feasibility/effectiveness of the obtained results.
引用
收藏
页码：583 / 593
页数：11
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