Stability Analysis for Discrete-Time Switched Positive Neural Networks with Mixed Delays
- Resource Type
- Conference
- Authors
- Liu, Yixian; Liu, Jiao; Li, Hongchao
- Source
- 2023 42nd Chinese Control Conference (CCC) Chinese Control Conference (CCC), 2023 42nd. :535-540 Jul, 2023
- Subject
- Computing and Processing
Robotics and Control Systems
Signal Processing and Analysis
Transportation
Asymptotic stability
Sufficient conditions
Neurons
Switches
Stability analysis
Delays
Biological neural networks
Switched positive neural networks
Mixed delays
Hysteresis switching
Overlapping region
- Language
- ISSN
- 1934-1768
This paper studies the asymptotical stability for a class of discrete-time switched positive neural networks with mixed delays. The time-varying delays and distribution delays which exist during neuron transmission are taken into consideration. The nonnegative state space of the first quadrant is divided into several subspaces, where the overlapping region is constructed to deal with the chattering behavior caused by frequent switching. Then hysteresis switching rule is designed by using the single copositive Lyapunov function (SCLF) and multiple copositive Lyapunov functions (MCLFs) methods, respectively. The sufficient conditions for the system's stability are given in the form of linear inequalities. At the end of this paper, two numerical examples demonstrate the effectiveness of this approach.