Dynamics of bilateral control system with state feedback for price adjustment strategy  

作　　者：Meng Zhang Yi Zhao Xinyu Song 

机构地区：[1]Beijing University of Civil Engineering and Architecture Beijing 100044,P.R.China [2]College of Mathematics and Statistics Huanghuai University Zhumadian 463000,P.R.China

出　　处：《International Journal of Biomathematics》2021年第5期145-161,共17页生物数学学报（英文版）

基　　金：This work is supported by the National Natural Science Foundation of China(No.11701026,No.12071407);the Fundaineiital Researcli Funds of Beijing University of Civil Engineering and Architecture(No.X18225,No.XI9031);the Post Graduate Innovation Project of Beijing University of Civil Engineering and Architecture(No.PG2020098).

摘　　要：The price fluctuation of commodities affects their demand,and it strongly influences the development of industry and the stability of the international economy.A price-output model with two price-dependent impulses is presented in this paper to describe their mutual restrictions and the price adjustment strategies.The equilibria and dynamic properties of the impulsive-free price-output model are qualitatively analyzed,and the results show the hazard of free price fluctuation.For the price-output model with two price-dependent impulses,conditions for the existence of the order-2 periodic solution are obtained,and the orbital asymptotic stability is proved.Those results reveal the positive role of price adjustment strategies.Finally,some numerical simulations are carried out to verify the theoretical results.

关 键 词：price adjustment state feedback impulsive model order-2 periodic solution successor function 

分 类 号：O17[理学—数学]