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PRT系统的最终有界和正向不变集及其应用 被引量：3

Ultimate bound and positively invariant set of PRT system and its application
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摘要 通过构造一个广义正定径向无界的Lyapunov函数和最优化理论,研究了一个在实际中描述血浆运动的PRT混沌系统的最终有界集和正向不变集,得到了三维椭球估计。将得到的变量xyz的界应用到混沌同步中,设计一个尽可能简单的线性控制器研究了该系统的完全同步。数值仿真验证了同步理论的有效性。 The ultimate bound and positively invariant set of PRT chaotic system that describes the plasma dymamies is in- vestigated via constructing a positively definite and radically unbounded Lyapunov function and optimization theory.For this system,a three-dimensional ellipsoidal ultimate bound and positively invariant set is derived.The upper bound about x,y,z is applied to the chaos synchronization.A simple linear controller is designed.Numerical simulations are presented to show the effectiveness of the proposed scheme.
作者 杨洪亮 张付臣 舒永录
机构地区 临沂师范学院信息学院 重庆大学数理学院
出处 《计算机工程与应用》 CSCD 北大核心 2011年第29期242-245,共4页 Computer Engineering and Applications
基金 重庆市自然科学基金(No.2009BB3185)
关键词 最终有界集 正向不变集 混沌同步 数值仿真 ultimate bound positively invariant set chaotic synchronization numerical simulations
分类号 TP391 [自动化与计算机技术—计算机应用技术]
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参考文献7

  • 1Shu Yonglu, Xu Hongxing, Zhao bound and positively invariant Yunhong.Estimating the ultimate set for a new chaotic system and its application in chaos synchronization[J].Chaos, Solitons & Fractals,2009,42(5) : 2852-2857.
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  • 5LIAO Xiaoxin 1, 2, 3 , FU Yuli 4 & XIE Shengli 4 1. Department of Control Science & Control Engineering, Huazhong University of Science & Technology, Wuhan 430074, China,2. School of Automation, Wuhan University of Science & Technology, Wuhan 430070, China,3. School of Information, Central South University of Economy, Politics and Law, Wuhan 430064, China,4. School of Electronics & Information Engineering, South China University of Technology, Guangzhou 510640, China Correspondence should be addressed to Liao Xiaoxin (email: xiaoxin_liao@hotmail.com).On the new results of global attractive set and positive invariant set of the Lorenz chaotic system and the applications to chaos control and synchronization[J].Science in China(Series F),2005,48(3):304-321. 被引量：23
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二级参考文献1

共引文献22

同被引文献26

  • 1廖晓昕,罗海庚,傅予力,谢胜利,郁培.论Lorenz系统族的全局指数吸引集和正向不变集[J].中国科学（E辑）,2007,37(6):757-769. 被引量：24
  • 2Li Damei,Lu Jun-an,Wu Xiaoqun,et al.Estimating theultimate bound and positively invariant set for theLorenz system and a unified chaotic system[J].Journalof Mathematical Analysis and Applications,2006,323(2):844-853.
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  • 6Li Damei, Lu Jun-an, Wu Xiaoqun, et al.Estimating the ultimate bound and positively invariant set for the Lorenz system and a unified chaotic system[J].Journal of Mathematical Analysis and Applications, 2006,323 (2) : 844-853.
  • 7Liao Xiaoxin.On the global basin of attraction and positively invariant set for the Lorenz chaotic system and its application in chaos control and synchronization[J].Sci China Ser E,2004, 34:1404-1419.
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计算机工程与应用
2011年 第29期

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