Positivity and Exponential Stability of Coupled Homogeneous Time-Delay Differential-Difference Equations of Degree One

被引：5
作者：
Yang, Huitao [1 ]
Zhang, Yu [2 ]
Huang, Xuan [1 ]
Hong, Shanshan [2 ]
机构：
[1] Jinggangshan Univ, Sch Math & Phys, Jian 343009, Jiangxi, Peoples R China
[2] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2022年 / 41卷 / 02期
关键词：
Coupled differential-difference equations; Positive systems; Exponential stability; Max-separable Lyapunov functions; KRASOVSKII METHODOLOGY; ASYMPTOTIC STABILITY; SYSTEMS; DISCRETE;
D O I：
10.1007/s00034-021-01828-0
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：
This paper investigates the global exponential stability of coupled homogeneous positive time-delay differential-difference equations of degree one. By using max-separable Lyapunov functions, a sufficient criterion for coupled homogeneous positive time-delay differential-difference equations of degree one is obtained. It should be noted that it is the first time that the exponential stability result for coupled homogeneous positive time-delay differential-difference equations of degree one is given. A numerical example is presented to demonstrate the effectiveness of the derived results.
引用
收藏
页码：762 / 788
页数：27
相关论文
共 42 条
  • [1] Stability analysis of discrete-time coupled systems with delays
    Chen, Si
    Liu, Xingwen
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (14): : 9942 - 9959
  • [2] Internally Positive Representations and Stability Analysis of Coupled Differential-Difference Systems With Time-Varying Delays
    De Iuliis, Vittorio
    Germani, Alfredo
    Manes, Costanzo
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (06) : 2514 - 2521
  • [3] Necessary and Sufficient Stability Criterion and Stabilization for Positive 2-D Continuous-Time Systems with Multiple Delays
    Duan, Zhaoxia
    Ghous, Imran
    Wang, Bing
    Shen, Jian
    [J]. ASIAN JOURNAL OF CONTROL, 2019, 21 (03) : 1355 - 1366
  • [4] Farina L., 2000, PUR AP M-WI
  • [5] Stability Analysis of Linear Coupled Differential-Difference Systems With General Distributed Delays
    Feng, Qian
    Nguang, Sing Kiong
    Seuret, Alexandre
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (03) : 1356 - 1363
  • [6] Dissipative delay range analysis of coupled differential-difference delay systems with distributed delays
    Feng, Qian
    Nguang, Sing Kiong
    [J]. SYSTEMS & CONTROL LETTERS, 2018, 116 : 56 - 65
  • [7] ASYMPTOTIC STABILITY AND DECAY RATES OF HOMOGENEOUS POSITIVE SYSTEMS WITH BOUNDED AND UNBOUNDED DELAYS
    Feyzmahdavian, Hamid Reza
    Charalambous, Themistoklis
    Johansson, Mikael
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2014, 52 (04) : 2623 - 2650
  • [8] Exponential Stability of Homogeneous Positive Systems of Degree One With Time-Varying Delays
    Feyzmahdavian, Hamid Reza
    Charalambous, Themistoklis
    Johansson, Mikael
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (06) : 1594 - 1599
  • [9] FU J, 2021, J FRANKL INST
  • [10] l1-induced norm and controller synthesis for positive 2D systems with multiple delays
    Fu, Jinna
    Duan, Zhaoxia
    Ghous, Imran
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (12): : 7904 - 7920
12345