Global adaptive synchronization of chaotic systems with uncertain parameters
Li Zhi (李智)ab, Han Chong-Zhao (韩崇昭)a
a School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China; b Department of Automatic Control Engineering, Xidian University, Xi'an 710071, China
Abstract We propose a novel adaptive synchronization method for a class of nonlinear chaotic systems with uncertain parameters. Using the chaos control method, we derive a synchronizer, which can make the states of the driven system globally track the states of the drive system asymptotically. The advantage of our method is that our problem setting is more general than those that already exist, and the synchronizer is simply constructed by an analytic formula, without knowledge in advance of the unknown bounds of the uncertain parameters. A computer simulation example is given to validate the proposed approach.
Received: 09 April 2001
Revised: 27 July 2001
Accepted manuscript online:
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
