Optimal Design of Stochastic Distributed Order Linear SISO Systems Using Hybrid Spectral Method

Table 1

Simulation parameters and time profiles for obtaining the statistical characteristics by the MC, gPC, and proposed methods in Examples 1(a), (b), (a), (b), , and (a).

Example	Simulation parameters			Computational time (sec.)
	MC (Halton sampling)	gPC	Proposed	MC	gPC	Proposed
Example (a)	10000 samples	400 cubature nodes	512 basis functions	205.30	1.10	0.01
Example (b)	10000 samples	1000 cubature nodes	512 basis functions	197.18	2.67	0.01
Example (a)	10000 samples	N/A	512 basis functions	199.64	N/A	0.01
Example (b)	10000 samples	N/A	2048 basis functions	827.76	N/A	3.22
Example	10000 samples	N/A	512 basis functions	210.66	N/A	0.01
Example (a)	10000 samples	625 cubature nodes	512 basis functions	4503.90	609.51	15.32