Identification of Unknown Parameters and Orders via Cuckoo Search Oriented Statistically by Differential Evolution for Noncommensurate Fractional-Order Chaotic Systems

Table 3

Simulation for fractional-order systems by single cuckoo search.

System	StD	Mean	Min.	Max.	Success rate^a	NEOF^b
Example 1	3.8566𝑒−01	6.8548𝑒−01	1.1083𝑒−01	2.2250	0%	40040
Example 2	5.2993𝑒−04	1.1322𝑒−03	2.9726𝑒−04	2.7731𝑒−03	100%	40040
Example 3	2.2560𝑒−04	3.8504𝑒−04	7.2187𝑒−05	1.4730𝑒−03	100%	40040
Example 4	4.0392𝑒−03	1.8645𝑒−03	1.0365𝑒−03	1.0422𝑒−02	100%	40040
Example 6	9.2611𝑒−01	1.8303	6.0910𝑒−01	6.4697	0%	40040
Example 9	8.1825𝑒−02	4.0495𝑒−02	1.5058𝑒−02	2.3472𝑒−01	0%	40040
Example 10	9.5917	4.4177	3.1812	2.5456𝑒+01	0%	40040
Example 11	3.8130	7.1730	2.5631	2.7080	0%	40040
Example 13	8.8389	3.5136	2.6274	2.4436𝑒+01	0%	40040
Example 15	9.5876𝑒−02	1.4075𝑒−01	3.3331𝑒−02	5.7142𝑒−01	43%	40040

aSuccess means that the solution is less than 1𝑒−1 in 100 independent simulations.
bNumber of evaluation for objective function.