Parameter estimation for time-delay chaotic systems by hybrid biogeography-based optimization

It is an important issue to estimate parameters of chaotic systems in nonlinear science. In this paper, delay time as well as parameters of time-delay chaotic system is considered by treating delay time as an additional parameter. The parameter estimation problem is formulated as a multidimensional optimization problem, and an effective hybrid biogeography-based optimization is developed to solve this problem. Numerical simulations are conducted on two typical time-delay chaotic systems to show the effectiveness of the proposed scheme.