2007 Volume 127 Issue 7 Pages 1075-1082
This paper presents a systematic and efficient search method for obtaining multiple local optimal solutions based on the stability theory of nonlinear dynamical systems. The method consists of two steps. The first step is a local search step for obtaining a local optimal solution. The second step is a search step for escaping from the stability region of the obtained local optimal solution via a decomposition point. Identifying the decomposition point must be a challenge task for the method. In this paper, bifurcations and a continuation method are applied for obtaining the decomposition point. For the purpose of illustrating the proposed method, well-known test functions including high dimensional functions are applied and the numerical results show the effectiveness of the proposed method.
The transactions of the Institute of Electrical Engineers of Japan.C
The Journal of the Institute of Electrical Engineers of Japan