Comparison-based method to stability of positive 2-D continuous-time Roesser systems with time-varying delays

被引：0
作者：
Nguyen, Tran Ngoc [1 ]
Nam, Phan Thanh [1 ]
Trinh, Hieu [2 ]
机构：
[1] Quynhon Univ, Dept Math & Stat, Binhdinh, Vietnam
[2] Deakin Univ, Sch Engn, Geelong, Vic 3217, Australia
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2024年 / 361卷 / 16期
关键词：
Two-dimensional systems; Positive time-delay systems; alpha-exponential stability; Comparison-based method; EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; OBSERVER DESIGN; STABILIZATION; CRITERION;
D O I：
10.1016/j.jfranklin.2024.107154
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The stability problem for a class of positive two-dimensional (2-D) continuous-time systems in Roesser model with non-differentiable time-varying delays is investigated in this paper. So far, the case where the time-delay is non-differentiable has not been considered in any of the literature and the paper is to deal with this unconsidered case. By developing a novel comparison method, a sufficient condition for the alpha-exponential stability of the considered system is firstly derived. For computing an alpha-exponential estimate, a linear programming-based algorithm is next developed. Lastly, a numerical example is considered to illustrate the obtained result.
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页数：13
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