General Decay Synchronization and H∞ Synchronization of Multi-weighted Coupled Reaction-diffusion Neural Networks

Lu, Jianmou; Huang, Yanli; Ren, Shun-Yan

doi:10.1007/s12555-019-0380-2

Cited by 8 publications

(2 citation statements)

References 30 publications

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“…In [15], the authors considered the general decay synchronization issue of chaotic NNs with discontinuous activation functions. After that general decay stability and synchronization of various types of nonlinear systems have been studied, and some interesting results were established [16][17][18][19]. Ref.…”

Section: Introductionmentioning

confidence: 99%

“…[16] investigated general decay synchronization of a class of chaotic NNs with general activation functions via improving the controllers of [14,15]. The authors in [17] investigated the general decay synchronization and H ∞ synchronization issue of multi-weighted coupled NNs with reaction-diffusion terms. The general decay stability of inverse Euler-Maruyama method for nonlinear stochastic integral-differential equations was investigated in [18].…”

Section: Introductionmentioning

confidence: 99%

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Nonseparation Approach to General-Decay Synchronization of Quaternion-Valued Neural Networks with Mixed Time Delays

Han,

Abdurahman,

You

2023

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In this paper, the general-decay synchronization issue of a class of quaternion-valued neural networks with mixed time delays is investigated. Firstly, unlike some previous works where the quaternion-valued model is separated into four real-valued networks or two complex-valued networks, we consider the mixed-delayed quaternion-valued neural network model as a whole and introduce a novel nonlinear feedback controller for the corresponding response system. Then, by introducing a suitable Lyapunov–Krasovskii functional and employing a novel inequality technique, some easily verifiable sufficient conditions are obtained to ensure the general-decay synchronization for the considered drive-response networks. Finally, the feasibility of the established theoretical results is verified by carrying out Matlab numerical simulations.

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