Table 4.

Relevant tests for determining the architecture of ANN in underdamped systems.

Network	Neurons	Activation	MSE	MSE	MSE
	in HL	Functions	${\mathit{\omega }}_{\mathit{n}}$	$\mathit{\xi }$	Average
N1b	3	Tangsig-Purelin	1.001%	$4.1\times {10}^{-3}$%	0.502%
N2b	5	Tangsig-Purelin	0.105%	$2.4\times {10}^{-3}$%	0.054%
N3b	8	Tangsig-Purelin	$2\times {10}^{-3}$%	$2.1\times {10}^{-3}$%	0.002%
N4b	16	Tangsig-Purelin	0.070%	$1.8\times {10}^{-3}$%	0.036%
N6b	16	Tangsig-Tangsig	0.304%	$1.9\times {10}^{-3}$%	0.153%
N7b	16	Tangsig-Logsig	6.250%	4.180%	5.125%
N8b	5–3	Tangsig-Tangsig-Purelin	$9\times {10}^{-3}$%	$1.9\times {10}^{-3}$%	0.005%
N9b	12–8	Tangsig-Tangsig-Purelin	$3\times {10}^{-3}$%	$1.9\times {10}^{-3}$%	0.002%
N10b	8–12	Tangsig-Tangsig-Purelin	$1.7\times {10}^{-3}$%	$3.25\times {10}^{-4}$%	$8.4\times {10}^{-4}$%
N11b	10–16	Tangsig-Tangsig-Purelin	$2\times {10}^{-3}$%	$1.9\times {10}^{-3}$%	0.002%
N12b	10–16	Logsig-Logsig-Purelin	$1.4\times {10}^{-3}$%	$8.8\times {10}^{-4}$%	0.001%
N13b	10–16	Tangsig-Tangsig-Logsig	4.209%	4.915%	4.562%
N14b	14–20	Tangsig-Tangsig-Purelin	4.182%	4.150%	4.166%