| 摘要: |
| 基于Lyapunov稳定性理论,通过设计适当反馈控制器,实现了四维超混沌Lorenz系统在确定参数和不确定参数两种情况下的有限时间同步,并用数值模拟验证了理论分析的有效性. |
| 关键词: 超混沌系统 Lyapunov稳定性理论 有限时间同步 |
| DOI： |
| 投稿时间：2014-05-20修订日期：2014-06-09 |
| 基金项目:国家自然科学基金项目(11161051)和玉林师范学院重点项目(2014YJZD01)资助。 |
|
| Finite-time Synchronization of Hyperchaotic Lorenz Systems |
|
FENG Yu1, LIU Ai-min2
|
| (1.Guangxi Universities Key Lab of Complex System Optimization and Big Data Processing, School of Mathematics and Information Science, Yulin Normal University, Yulin, Guangxi, 537000, China;2.Education Technology Center, Yulin Normal University, Yulin, Guangxi, 537000, China) |
| Abstract: |
| In this paper, the finite-time synchronization of hyperchaotic Lorenz system is studied.Based on the Lyapunov stability theory, it is proved that finite-time synchronization for hyperchaotic Lorenz systems with certain or uncertain parameters can be achieved with some suitable controllers.Numerical simulations and circuit implementation are taken to illustrate that the theoretical analysis here is effective. |
| Key words: hyperchaotic Lorenz system Lyapunov stability theory finite-time synchronization |
