Globally exponential stability conditions for cellular neural networks with time-varying delays
Applied Mathematics and Computation
Boundedness and exponential stability for nonautonomous RCNNs with distributed delays
Computers & Mathematics with Applications
Robust adaptive control of nonlinear systems with unknown time delays
Automatica (Journal of IFAC)
Global stability for cellular neural networks with time delay
IEEE Transactions on Neural Networks
An analysis of global asymptotic stability of delayed cellular neural networks
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
Global Asymptotic Stability of Delayed Cellular Neural Networks
IEEE Transactions on Neural Networks
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This paper deals with the stabilisation problem of Cellular Neural Networks with time-varying delays and reaction-diffusion terms. By constructing proper Lyapunov functionals with respect to the space variables, the stabilisation conditions of delayed CNN with reaction-diffusion terms are derived. A feedback controller is designed to ensure the global asymptotical stability of the equilibrium point. The given algebra criteria are easy to verify which bring some convenience for those who design and verify these neural networks and the results make a preparation for the research about stabilisation of delayed neural networks and further the earlier researches. A numerical example illustrates the effectiveness of the results.