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Hidden-Markov-model-based asynchronous H∞ control of supply chain systems under homogeneous markovian deception attacks

Author

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  • Hu, Bing
  • Ma, Jiaqi
  • Cui, Yukang
  • Wang, Shuailong
  • Liu, Jian
  • Sun, Zhixin

Abstract

This study investigates the zero-inventory control problem by modeling supply chain systems as Markov-based networked control systems. Network-induced delays and packet loss can cause mode mismatches between the controller and the plant. Therefore, an asynchronous feedback controller based on hidden Markov models is proposed. Deception attacks during communication, which may lead to performance degradation, are modeled as Bernoulli white noise sequences. The stochastic nature and unpredictability of attack dynamics are fully considered by introducing a homogeneous Markov chain to represent the random switching among different attack probabilities. A mode-dependent Lyapunov functional is then constructed to ensure system stability and achieve optimal H∞ performance in the presence of such disturbances. Sufficient conditions for controller synthesis are derived by solving a set of linear matrix inequalities. Finally, numerical and practical case studies validate the theoretical findings and demonstrate the effectiveness of the proposed approach.

Suggested Citation

  • Hu, Bing & Ma, Jiaqi & Cui, Yukang & Wang, Shuailong & Liu, Jian & Sun, Zhixin, 2026. "Hidden-Markov-model-based asynchronous H∞ control of supply chain systems under homogeneous markovian deception attacks," Applied Mathematics and Computation, Elsevier, vol. 513(C).
    • Handle: RePEc:eee:apmaco:v:513:y:2026:i:c:s0096300325005326
    DOI: 10.1016/j.amc.2025.129807
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    References listed on IDEAS

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    1. Cheung, Kam-Fung & Bell, Michael G.H. & Bhattacharjya, Jyotirmoyee, 2021. "Cybersecurity in logistics and supply chain management: An overview and future research directions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 146(C).
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