Ultimate bound and positively invariant set of PRT system and its application

Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (29): 242-245.

• 工程与应用 • Previous Articles Next Articles

Ultimate bound and positively invariant set of PRT system and its application

YANG Hongliang1，ZHANG Fuchen2，SHU Yonglu1

1.School of Information Science，Linyi Normal University，Linyi，Shandong 276005，China
2.School of Mathematics and Physics，Chongqing University，Chongqing 400044，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-10-11 Published:2011-10-11

PRT系统的最终有界和正向不变集及其应用

杨洪亮1，张付臣2，舒永录1

1.临沂师范学院信息学院，山东临沂 276005
2.重庆大学数理学院，重庆 400044

Abstract

Abstract: The ultimate bound and positively invariant set of PRT chaotic system that describes the plasma dymamics is investigated 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.

Key words: ultimate bound, positively invariant set, chaotic synchronization, numerical simulations

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。

关键词: 最终有界集, 正向不变集, 混沌同步, 数值仿真

YANG Hongliang1，ZHANG Fuchen2，SHU Yonglu1. Ultimate bound and positively invariant set of PRT system and its application[J]. Computer Engineering and Applications, 2011, 47(29): 242-245.

杨洪亮1，张付臣2，舒永录1. PRT系统的最终有界和正向不变集及其应用[J]. 计算机工程与应用, 2011, 47(29): 242-245.

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Ultimate bound and positively invariant set of PRT system and its application

PRT系统的最终有界和正向不变集及其应用

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