Abstract
This paper investigates the exponential synchronization analysis of master–slave chaotic uncertain delayed generalized reaction–diffusion neural networks (GRDNNs) with event-triggered control scheme. A delay GRDNNs system model for the analysis is constructed by investigating the effect of the network transmission delay. By constructing a novel Lyapunov–Krasovskii functional and using a delay system approach for designing event-triggered controllers and some inequality techniques like Jensen’s inequality, Wirtinger’s inequality and Halanay’s inequality, the criteria are obtained for the event-triggered synchronization analysis and control synthesis of delayed GRDNNs. The synchronization criteria are formulated in terms of linear matrix inequalities. Finally, we conclude that the slave systems synchronize with the master systems. Two examples show the proposed theoretical results are feasible and effective.
Highlights
Neural networks (NNs) have been rather hot topic and been extensively studied in brain science and engineering fields due to their potential applications such as mammalian brains, solving certain optimization problems, fault diagnosis, etc. [1,2,3,4]
China Abstract: This paper investigates the exponential synchronization analysis of master–slave chaotic uncertain delayed generalized reaction-diffusion neural networks (GRDNNs) with event-triggered control scheme
We extend uncertain delay GRDNNs model with communication delays and establish criteria for the synchronization by utilizing some inequality techniques
Summary
Neural networks (NNs) have been rather hot topic and been extensively studied in brain science and engineering fields due to their potential applications such as mammalian brains, solving certain optimization problems, fault diagnosis, etc. [1,2,3,4]. There are few results on event-triggered control synchronization and analysis of uncertain GRDNNs. This paper will develop this control strategy to uncertain GRDNNs, and think about communication time delays between sensor and controller nodes for a class of distributed parameter networks system. It is worth pointing out that the structure of the parameter uncertainties including (2a) and (2b) has been widely utilized in many references [4,13,19,20] to deal with the stability or synchronization problems for uncertain NNs and other systems. The parameter uncertainties in the system considered are said to be admissible if (2a) and (2b) hold It is of theoretical and practical importance to investigate robust stability ,synchronization, etc. For case ii), defining e t, xj e0, for tk , t x
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