Delayed feedback control with state predictor for continuous-time chaotic systems

被引：14
|
作者：
Nakajima, H [1 ]
机构：
[1] Kinki Univ, Sch English, Dept Elect Engn & Comp Sci, Higashihiroshima 7392116, Japan
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2002年 / 12卷 / 05期
关键词：
continuous-time system; chaos; delayed feedback; state-predictor control; odd-number condition;
D O I：
10.1142/S0218127402004917
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We propose an application of state predictor to delayed feedback control (DFC) for continuous time dynamical systems. First, we define the DFC for continuous-time systems clearly. Next, on the basis of this definition, we propose a DFC method with state-predictor to stabilize unstable equilibrium points in autonomous systems and derive a sufficient condition for stabilization. Then we extend this method to stabilizing unstable periodic orbits and also derive a sufficient condition for stabilization. Finally, we briefly discuss the relation between the conditions for stabilization of our methods and those of the dynamic DFC and the prediction-based feedback control for discrete-time systems.
引用
收藏
页码：1067 / 1077
页数：11
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