Chaos control of a bounded 4D chaotic system

被引：0
作者：
Hassan Saberi Nik
Mahin Golchaman
机构：
[1] Islamic Azad University,Department of Mathematics, Neyshabur Branch
来源：
Neural Computing and Applications | 2014年 / 25卷
关键词：
Optimal control; New bounded four-dimensional (4D) chaotic system; Lyapunov function; Pontryagin minimum principle; Legendre spectral method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with the problem of optimal and adaptive control for controlling chaos in a novel bounded four-dimensional (4D) chaotic system. This system can display hyperchaos, chaos, quasiperiodic and periodic behaviors, and may have a unique equilibrium, three equilibria and five equilibria for the different system parameters. An optimal control law is designed for the novel bounded chaotic system, based on the Pontryagin minimum principle. Furthermore, we propose Lyapunov stability conditions to control the new bounded 4D chaotic system with unknown parameters by a feedback control approach. Numerical simulations are presented to show the effectiveness of the proposed chaos control scheme.
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页码：683 / 692
页数：9
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