忆阻混沌系统的有限时间控制  

Finite Time Control of Memristor Chaotic Systems

作　　者：成平广[1] 马跃[2] 黄军建[1] 刘冀[1] 

机构地区：[1]重庆第二师范学院数学与信息工程系,重庆400067 [2]重庆大学软件学院,重庆401331

出　　处：《计算机科学》2015年第2期260-262,共3页Computer Science

基　　金：国家自然科学基金项目(61403050);重庆市教委人文社科资助项目(12sksz65);重庆市教委自然科学资助项目(KJ1401405);重庆第二师范学院教学改革重点资助项目(JG2014106)资助

摘　　要：忆阻器作为电路中的第四个基本元件,于1971年由蔡教授提出。忆阻器是非线性的,具有很多特殊的属性。目前,基于忆阻器的电路设计成为研究热点,基于忆阻器的混沌系统也吸引了很多学者的关注。基于有限时间稳定的思想,研究了一类五阶忆阻混沌系统的全局稳定性及有限时间镇定问题,设计了非连续的状态反馈控制器,使得忆阻混沌系统全局指数稳定。仿真实验结果验证了该方法的正确性和有效性。Memristor is considered to be the missing 4th passive circuit element,which was proposed by professor Chua in 1971.Memristor is nonlinear and shows many special properties,which can be described by a nonlinear constitutive relation.At present,research on circuits based on memristor becomes a focal topic for research.Chaotic system based on memristor also has attracted attention recently.Based on the finite time stability theorem,this paper took a study on the global stability problem and finite-time stabilization problem of a class of the 5th order memristor chaotic systems and designed nonlinear state feedback controller to ensure the global exponential stability of memristor chaotic systems.The simulation experiment results verify the correctness and validity of the method.

关 键 词：忆阻器 混沌系统 有限时间稳定 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]