Abstract
A new type neural network model is proposed and studied to solve time- variant linear equations in this paper. Distinct from the ordinary zeroing neural network (ZNN), the activation function part of this neural network model adopts the sign-bi-power function, and the design parameter adopts a time-variant one of the piecewise type, so it is named as the piecewise parameterized zeroing neural network (PPZNN). Through theoretical analysis, the PPZNN model is capable of converging to the theoretical solution in a finite time. Simulation results further show that the proposed PPZNN model has better convergence performance than the ZNN model and its improved inversion.
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