Optimal and adaptive control for a kind of 3D chaotic and 4D hyper-chaotic systems

被引：38
|
作者：
Effati, S. [1 ,2 ]
Saberi-Nadjafi, J. [1 ,3 ]
Nik, H. Saberi [1 ,2 ]
机构：
[1] Ferdowsi Univ Mashhad, Sch Math Sci, Dept Appl Math, Mashhad, Iran
[2] Ferdowsi Univ Mashhad, Ctr Excellence Soft Comp & Intelligent Informat S, Mashhad, Iran
[3] Ferdowsi Univ Mashhad, Ctr Excellence Modelling & Control Syst, Mashhad, Iran
来源：
APPLIED MATHEMATICAL MODELLING | 2014年 / 38卷 / 02期
关键词：
Optimal control; Adaptive control; Chaotic and hyper-chaotic systems; Lyaponuv function; Pontryagin principle; QUADRATIC AUTONOMOUS SYSTEM; CANCER SELF-REMISSION; SYNCHRONIZATION; STABILITY;
D O I：
10.1016/j.apm.2013.06.025
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper is concerned with the chaos control of two autonomous chaotic and hyper-chaotic systems. First, based on the Pontryagin minimum principle (PMP), an optimal control technique is presented. Next, we proposed Lyapunov stability to control of the autonomous chaotic and hyper-chaotic systems with unknown parameters by a feedback control approach. Matlab bvp4c and ode45 have been used for solving the autonomous chaotic systems and the extreme conditions obtained from the PMP. Numerical simulations on the chaotic and hyper-chaotic systems are illustrated to show the effectiveness of the analytical results. (C) 2013 Published by Elsevier Inc.
引用
收藏
页码：759 / 774
页数：16
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