STUDY ON SELF-ADAPTIVE PROPORTIONAL CONTROL METHOD FOR A CLASS OF OUTPUT MODELS

被引：8

作者：

Sheng, Zhao-Han ^{[1
]}

Huang, Tingwen ^{[2
]}

Du, Jian-Guo ^{[3
]}

Mei, Qiang ^{[3
]}

Huang, Hui ^{[4
]}

机构：

[1] Nanjing Univ, Sch Management Sci & Engn, Nanjing 210093, Peoples R China

[2] Texas A&M Univ Qatar, Doha, Qatar

[3] Jiangsu Univ, Sch Business Adm, Zhenjiang 212013, Peoples R China

[4] Chongqing Logist & Engn Coll, Fundamental Study Dept, Chongqing, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2009年 / 11卷 / 02期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Duopoly games; chaos control; self-adaptive proportional control method; performance measure; CHAOS CONTROL; DYNAMICS; STABILITY; GAME;

D O I：

10.3934/dcdsb.2009.11.459

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, self-adaptive proportional control method in economic chaotic system is discussed. It is not necessarily required for the fixed point having stable manifold in the method we used. One can stabilize chaos via time-dependent adjustments of control parameters; also can suppress chaos by adjusting external control signals. Two kinds of chaos about the output systems in duopoly are stabilized in a neighborhood of an unstable fixed point by using the chaos controlling method. The results show that performances of the system are improved by controlling chaos. Furthermore, their applications in practice are presented. The results also show that players can control chaos by adjusting their planned output or variable cost per unit according to the sign of marginal profit.

引用

页码：459 / 477

页数：19

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