A novel artificial bee colony algorithm with space contraction for unknown parameters identification and time-delays of chaotic systems

作     者：Gao, Fei Fei, Feng-xia Xu, Qian Deng, Yan-fang Qi, Yi-bo Balasingham, Ilangko 

作者机构：Wuhan Univ Technol Sch Sci Dept Math Wuhan 430070 Hunan Peoples R China Norwegian Univ Sci & Technol Signal Proc Grp Dept Elect & Telecommun N-7491 Trondheim Norway 

出 版 物：《APPLIED MATHEMATICS AND COMPUTATION》 (应用数学和计算)

年 卷 期：2012年第219卷第2期

页      面：552-568页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：European Commission Scientific Research Foundation for Returned Scholars from Ministry of Education of China [20111j0032] HOME China Association for Science and Technology NSFC of China [10647141, 60773210] Natural Science Foundation of Hubei Province of China [2009CBD213] Fundamental Research Funds for the Central Universities of China WUT [2012-Ia-035, 2012-Ia-041, 2010-Ia-004] 

主　　题：Unknown parameters identification Time-delays Chaos systems Artificial bee colony algorithm Space contraction self-adaptively 

摘      要：This paper is concerned with the uncertain parameters and time-delay of nonlinear chaotic systems, which is of vital significance in chaos control and synchronization. In this article, a novel artificial bee colony algorithm (ABC), with space contraction and optimization technique based on the foraging behavior of honeybees, is newly proposed to solve the estimation problem via a nonnegative multi-modal nonlinear optimization, which finds a best combination of parameters such that an objective function is minimized. The illustrative examples, in Lorenz, Chen, Lu chaos systems and Mackey-Glass time-delay chaos system, are given though ABC and ABC with space contraction self-adaptively (ABCSC) respectively. Simulation are done and comparisons to some existing results by a recent version of ABC, HTCMIABC demonstrate that ABCSC is superior to ABC and HTCMIABC for unknown parameters and time-delays of the chaotic systems accurately and effectively. And it is a promising tool for chaotic system identification as well as other numerical optimization problems in mathematics. (C) 2012 Elsevier Inc. All rights reserved.