Superior robustness of using power-sigmoid activation functions in Z-type models for time-varying problems solving

The performance analyses of Z-type models using PSAF (i.e, power-sigmoid activation functions) for solving the Zhang problems are investigated in this paper. Excellent robustness is demonstrated when using PSAF for very large perturbation errors. Compared with LAF (i.e, linear activation functions), Z-type models using PSAF have better performance on solving not only scalar-valued problems but also matrix-valued (and vector-valued) problems. The two applications finally substantiate the theoretical analysis, and especially show an excellent robustness.