Stability of Linearly Switched Demand Dynamics in Supply Chain Based on Inventory

Yubao Wang*, Weihua Wang

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


The organized supply chain is one of the best competitive ways for the retailer. The dynamics and stability of a supply chain under inventory and price with the feature of piecewise linearity is analysed. This switched linear model composed of four subsystems for the first time. On the basis of linear switched model, some stabilities are derived and the global dynamic behavior is theoretically examined. It is illustrated that the combination of the stock-dependent demand function and inventory can bring about the stability result under, but also arise more complicated nonlinear fluctuations under b? = 1

Original languageEnglish
Article number012054
JournalJournal of Physics: Conference Series
Issue number1
Publication statusPublished - 20 May 2021
Externally publishedYes
Event2021 International Conference on Computer Application in Transportation Engineering, CATE 2021 - Ningbo, Virtual, China
Duration: 5 Jun 20216 Jun 2021


  • Linearly switched system
  • Stability
  • Stock-dependent demand function
  • Supply chain


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