Journal of Global Optimization
Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series)
Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series)
A 2-Opt based differential evolution for global optimization
Applied Soft Computing
A Novel non-Lyapunov way for detecting uncertain parameters of chaos system with random noises
Expert Systems with Applications: An International Journal
Journal of Computational and Applied Mathematics
Expert Systems with Applications: An International Journal
Hi-index | 12.05 |
In this paper, a novel uncertain fractional-orders and parameters' inversion mechanism with functional extrema model via the differential evolution algorithms (DE) with a general mathematical model is proposed for incommensurate and hyper fractional chaotic systems. The problems of fractional-order chaos' inversion estimation are converted into a functional extrema model in form of non-negative multiple modal objective functions' minimization, which takes the unknown fractional-orders and parameters as its particular independent variables. And the objective is to find optimal combinations of fractional-orders and systematic parameters by DE in the predefined intervals for fractional order chaotic systems such that the objective function is minimized. Simulations are done to estimate a series of incommensurate and hyper fractional chaotic systems. And sensitivity analysis are also done in different cases for the proposed methods. The experiments' results show that the proposed inversion mechanism for fractional-order chaotic systems is a successful methods with the advantages of high precision and robustness.