具有非瞬时脉冲影响的供应链系统的有限时间稳定及同步策略  

Finite-time stability and synchronization of supply chain system with non-instantaneous impulses

作　　者：王培光[1] 郭梦煜 王文丽 WANG Pei-guang;GUO Meng-yu;WANG Wen-li(College of Mathematics and Information Science,Hebei University,Baoding 071002,China;College of Management,Hebei University,Baoding 071002,China)

机构地区：[1]河北大学数学与信息科学学院,河北保定071002 [2]河北大学管理学院,河北保定071002

出　　处：《控制与决策》2025年第4期1339-1346,共8页Control and Decision

基　　金：国家自然科学基金项目(12171135)。

摘　　要：供应链是一个极其重要而又复杂的系统,与社会系统和管理系统有着广泛的联系.由于供应链系统具有一段时间内需求突增或骤减的非瞬时脉冲特点,使其对各种不确定性和外部干扰都很敏感,并产生混沌行为.基于此,建立具有非瞬时脉冲的供应链模型,分别分析非瞬时脉冲对稳定和混沌供应链系统的影响,并给出有限时间稳定策略,同时讨论零售量和生产量对分销量的联合效应对该模型的影响.另外,同步控制是降低不确定性和扰动对供应链负面影响的重要方法,为此讨论了两个具有相同结构的供应链系统的非瞬时脉冲同步行为,并给出相应的有限时间同步策略.最后,通过数值算例验证了所得结果的有效性.研究发现:非瞬时脉冲对供应链系统有着显著影响,但只要选取恰当的非瞬时脉冲时间间隔和强度,就可以实现供应链系统的有限时间稳定和同步控制.The supply chain is an extremely important and complex system,which has extensive connections with management and social systems.Since the supply chain system is characterized by non-instantaneous impulses of sudden increase or decrease in demand over a period of time,it is sensitive to various uncertainties and external disturbances,and generates chaotic behavior.Therefore,a supply chain model with non-instantaneous impulses is established,and the effects of non-instantaneous impulses on stable and chaotic supply chain systems are analyzed respectively.At the same time,the influence of the combined effect of distribution and production on the model is discussed,and the finite-time stability strategy is given.In addition,synchronization control is an important method to reduce the negative impact of uncertainty and disturbance on the supply chain.This paper also discusses the noninstantaneous impulsive synchronization behavior of two supply chain systems with the same structure,and gives the corresponding finite-time synchronization strategy.Finally,numerical examples are given to verify the effectiveness of the obtained results.It is found that the non-instantaneous impulse has a significant impact on the supply chain system.But the finite-time stability and synchronization control of the supply chain system can be realized as long as the appropriate non-instantaneous impulsive time interval and intensity are selected.

关 键 词：供应链系统 非瞬时脉冲 混沌 联合效应 有限时间稳定 同步策略 

分 类 号：C935[经济管理—管理学] F273F274