Optimal control and synchronization of Lorenz system with complete unknown parameters

被引：19

作者：

El-Gohary, Awad ^{[1
]}

Sarhan, Ammar ^{[1
]}

机构：

[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

CHAOS SOLITONS & FRACTALS | 2006年 / 30卷 / 05期

关键词：

D O I：

10.1016/j.chaos.2005.09.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper discusses the optimal control and synchronization problems of Lorenz systems with fully unknown parameters. Based on the Liapunov-Bellman technique, the optimal control law with three-state variables feedback is derived such that the trajectory of the Lorenz system is optimally stabilized to an equilibrium point of the uncontrolled system. Further, another optimal control law is also applied to achieve the state synchronization of two identical Lorenz systems. Numerical results to demonstrate the effectiveness of the proposed control scheme. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1122 / 1132

页数：11

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