Abstract
This article considers the synchronization problem of delayed reaction-diffusion neural networks via quantized sampled-data (SD) control under spatially point measurements (SPMs), where distributed and discrete delays are considered. The synchronization scheme, which takes into account the communication limitations of quantization and variable sampling, is based on SPMs and only available in a finite number of fixed spatial points. By utilizing inequality techniques and Lyapunov-Krasovskii functional, some synchronization criteria via a quantized SD controller under SPMs are established and presented by linear matrix inequalities, which can ensure the exponential stability of the synchronization error system containing the drive and response dynamics. Finally, two numerical examples are offered to support the proposed quantized SD synchronization method.
| Original language | English |
|---|---|
| Pages (from-to) | 5740-5751 |
| Journal | IEEE Transactions on Cybernetics |
| Volume | 51 |
| Issue number | 12 |
| Online published | 9 Jan 2020 |
| DOIs | |
| Publication status | Published - Dec 2021 |
Research Keywords
- Synchronization
- Delays
- Quantization (signal)
- Linear matrix inequalities
- Control theory
- Artificial neural networks
- Delayed reaction-diffusion (RD) neural networks (NNs)
- quantized sampled-data (SD) control
- spatially point measurements (SPMs)
- synchronization
- DATA FUZZY CONTROL
- DISTRIBUTED-PARAMETER SYSTEMS
- TIME-VARYING DELAYS
- H-INFINITY CONTROL
- ASYMPTOTIC STABILITY
- CRITERIA
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