Synchronization of reaction–diffusion Hopfield neural networks with s-delays via sliding mode control (SMC) is investigated in this paper. To begin with, the system is studied in an abstract Hilbert space C([–r; 0];U) rather than usual Euclid space Rn. Then we prove that the state vector of the drive system synchronizes to that of the response system on the switching surface, which relies on equivalent control. Furthermore, we prove that switching surface is the sliding mode area under SMC. Moreover, SMC controller can also force with any initial state to reach the switching surface within finite time, and the approximating time estimate is given explicitly. These criteria are easy to check and have less restrictions, so they can provide solid theoretical guidance for practical design in the future. Three different novel Lyapunov–Krasovskii functionals are used in corresponding proofs. Meanwhile, some inequalities such as Young inequality, Cauchy inequality,Poincaré inequality, Hanalay inequality are applied in these proofs. Finally, an example is given to illustrate the availability of our theoretical result, and the simulation is also carried out based on Runge–Kutta–Chebyshev method through Matlab.
Nerve cells can respond to external electromagnetic environment. It features mainly depends on the characteristics of the interference conditions. Hodgkin - Huxley (HH) model gives a quantitative description of neuronal action potentials, many electrophysiological properties of nerve cells and biological rhythms issues of interpretation, the nervous system in order to study the effect of noise, this paper considers the environment in result of the presence of the electric field coupling, and the electric field in the body of the response characteristics of HH model, given values of the simulation results and analysis of the effect of disturbance characteristics of neurons as a disturbance conditions neuronal activity.
from one neuron to another neuron fibers generate action potentials of nerve cells, leading to nervous excitement along. Hodgkin - Huxley neuron model has been used to solve many physiological phenomenon. This paper presents Neuralfiber conduction theory, based on the Hodgkin - Huxley model, considering the propagation of nerve impulses nerve fiber soliton solutions, and to further discuss the application of numerical results are two aspects raised.
A perfect spam filter would avoid ham misclassification. This paper describes the development and application of spam filter. Specifically, the evaluation methodology was designed on-line open source spam filters. Finally, ASP-based anti-spam management system was created to combine the results of multiple filters. We finally find that the filters of ASP-based anti-spam system also make mistakes but can be used in conjunction with users to minimize errors.
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