General decay synchronization and H∞ synchronization of spatial diffusion coupled delayed reaction-diffusion neural networks
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Updated: Dec 28, 2025

Diffusion Tensor Magnetic Resonance Imaging in the Analysis of Neurodegenerative Diseases
Published on: July 28, 2013
Jianmou Lu1, Yanli Huang1, Shunyan Ren2
1Tianjin Key Laboratory of Optoelectronic Detection Technology and System, School of Computer Science and Technology, Tiangong University, Tianjin 300387, China.
Abstract:
This paper deals with the general decay synchronization (GDS) and general decay H∞ synchronization (GDHS) problems for spatial diffusion coupled delayed reaction-diffusion neural networks (SDCDRDNNs) without and with uncertain parameters respectively. First, based on the ψ-type stability and ψ-type function, the concept of GDS is generalized to include general robust decay synchronization (GRDS) and GDHS. Then, by exploiting a nonlinear controller and different types of inequality techniques, some verifiably sufficient conditions ensuring the GDS and GDHS of SDCDRDNNs (without and with uncertain parameters) are derived. Finally, two simulative examples are provided to demonstrate the validity of the synchronization results obtained.
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