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Dynamics of bilateral control system with state feedback for price adjustment strategy
International Journal of Biomathematics ( IF 2.2 ) Pub Date : 2021-02-23 , DOI: 10.1142/s1793524521500315
Meng Zhang 1 , Yi Zhao 1 , Xinyu Song 2
Affiliation  

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.

中文翻译:

价格调整策略状态反馈双边控制系统动力学

商品价格波动影响其需求,对工业发展和国际经济稳定产生强烈影响。本文提出了一个具有两个价格依赖脉冲的价格-产出模型来描述它们的相互限制和价格调整策略。定性分析了无脉冲价格-产出模型的均衡和动态特性,结果表明价格自由波动的危害性。对于具有两个价格依赖脉冲的价格-产出模型,得到了二阶周期解存在的条件,证明了其轨道渐近稳定性。这些结果揭示了价格调整策略的积极作用。最后,进行了一些数值模拟,以验证理论结果。
更新日期:2021-02-23
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