物理学报Issue(11)：139-145,7.DOI:10.7498/aps.62.110509
一类混沌系统同步时间可控的自适应投影同步*
Time-controllable projective synchronization of a class of chaotic systems based on adaptive method*
摘要
Abstract
To solve the problem of indeterminate synchronization time in different chaotic systems, this paper presents a time-controllable synchronization scheme. A general synchronization controller and parameter update laws are proposed to stabilize the error system, thus the drive and response systems could be synchronized up to a given scaling matrix at a pre-specified exponential convergence rate. The synchronization time formula is strictly deduced, which suggests that the speed of synchronization is determined by several parameters, such as exponential rate, initial system value and other parameters brought in by the controller. By adjusting these param-eters, the performance of the synchronization can be effectively improved. In numerical simulation, two nonidentical 3D autonomous chaotic systems are chosen to verify this method. The error system can be rapidly stabilized, and unknown parameters are also identi?ed correctly. Firally, two groups of time-controllable parameters are given to verify the theory, wherein synchronization of both cases can be obtained quickly and each result of the synchronization is consistent with the theoretical calculation. The synchronization scheme is characterized by high safety and efficiency, and has its potential value in secure communication.关键词
混沌/自适应控制/投影同步/时间可控Key words
chaos/adaptive control/projective synchronization/time-controllable引用本文复制引用
王春华†,胡燕,余飞,徐浩..一类混沌系统同步时间可控的自适应投影同步*[J].物理学报,2013,(11):139-145,7.基金项目
海南省自然科学基金(批准号:613155)资助的课题. （批准号:613155）
@@@@*Project supported by the Natural Science Foundation of Hainan Province, China (Grant No.613155) （Grant No.613155）
