Positivity and exponential stability of discrete-time coupled homogeneous systems with time-varying delays |
| |
| Institution: | 1. School of Mathematics and Physics, Jinggangshan University, Ji’an, 343009, China;2. School of Mathematical Sciences, Tongji University, Shanghai, 200092, China;3. College of Mechanical and Electrical Engineering, Jinggangshan University, Ji’an 343009, China;1. College of Energy and Electrical Engineering, Hohai University, Nanjing 210098, China;2. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China;1. Dep. of Systems and Automation Engineering, University of Seville, Seville, 41092, Spain;2. Dep. of Engineering, Loyola University Andalusia, Dos Hermanas, Seville, 41704, Spain;1. Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, China;2. School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China |
| |
| Abstract: | This paper investigates the positivity and stability of discrete-time coupled homogeneous systems with time-varying delays. First, an explicit criterion is given for the positivity of discrete-time coupled homogeneous delay systems. Then, by using the properties of homogeneous functions, a sufficient condition is presented for ensuring the stability of the considered systems. Moreover, the obtained result is applied to study the stability of positive singular systems with time-varying delay. It should be noted that it is the first time that the stability result is given for discrete-time coupled homogeneous positive systems with time-varying delays. Two numerical examples are presented to demonstrate the effectiveness of the derived results. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
