Theoretical Analyses of Integral-Type Zhang Neurodynamics with Disturbances Inhibited Handling Temporally-Varying Nonlinear System of Equations

We design and present an integral-type Zhang neurodynamics (ITZN) model for handling temporally-varying nonlinear system of equations (TVNSE). To investigate the disturbances inhibition of the model, the general form of the disturbed ITZN model is presented, and it is instantiated by introducing the constant disturbance, bounded random disturbance, and linear-form temporally-varying disturbance, resulting in three corresponding disturbed ITZN variants. Finally, by means of Lyapunov theory and Laplace transformation, we theoretically prove the globally exponential convergence of the ITZN model and the effective disturbances inhibition of the three disturbed ITZN variants.