| In recent years,there has been a great deal of Leakage delayed neural network research in the field of engineering and mathematics.In fact,its dynamic behavior is often used to deal with complex and changeable practical problems,such as using the synchronization and anti-synchronization characteristics of state vector to achieve digital signal cross transmission to improve the confidentiality of digital communication.Therefore,it is of great theoretical and practical significance to further study the dynamics of Leakage delayed neural network.This thesis mainly studies the finite-/fixed-time anti-synchronization behavior of Leakage delayed neural network under the influence of the discontinuous excitation function,as well as the finite-/fixed-time synchronization problem of diffused Hopfield neural network with Leakage delay and discrete delay.The first part mainly studies the finite-/fixed-time anti-synchronization problem of neural networks with leakage delays under discontinuous disturbances.By designing new negative exponential controllers,in light of Filippov’s theory and the Lyapunov functional method,novel finite-/fixed-time anti-synchronization criteria are established for the considered drive-response network systems,the corresponding settling time is estimated as well.The established theoretical results extend and cover the existed ones.In addition,a numerical example is given to verify the practicability of the obtained results.In the second part,the finite-/fixed-time synchronization is studied by taking the diffusive Hopfield neural networks with leakage and discrete delays as the research object.Some new and useful criteria independent on time delays but dependent on the diffusion coefficients are established to guarantee the finite-/fixed-time synchronization of the addressed network model under an unified framework.Finally,a numerical example is presented to show the effectiveness of the proposed control methods.Figure [8] Reference [69]... |
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