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

abstract

• 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.

authors

• Huang, Tingwen

published proceedings

• DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

author list (cited authors)

• Sheng, Z., Huang, T., Du, J., Mei, Q., & Huang, H.

citation count

• 9

complete list of authors

• Sheng, Zhao-Han||Huang, Tingwen||Du, Jian-Guo||Mei, Qiang||Huang, Hui

publication date

• March 2009

publisher

• American Institute of Mathematical Sciences (AIMS)  Publisher

published in

• Discrete and Continuous Dynamical Systems Series B: a journal bridging mathematics and sciences  Journal

keywords

• Chaos Control
• Duopoly Games
• Performance Measure
• Self-adaptive Proportional Control Method

Digital Object Identifier (DOI)

• 10.3934/dcdsb.2009.11.459

start page

• 459

end page

• 477

volume

• 11

issue

• 2

URL

• http://dx.doi.org/10.3934/dcdsb.2009.11.459