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Observer-based security control for nonlinear networked systems: The SCP model of semi-Markov kernel approach

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  • Xia, Pei-Zhen
  • Chang, Xiao-Heng

Abstract

In this article, the problem of observer-based security control for interval type-2 nonlinear networked systems with stochastic communication protocol (SCP) and denial-of-service (DoS) attacks is investigated. To begin with, considering the limited network bandwidth, a novel SCP is proposed to avoid data conflicts in information transmission. In particular, compared with the existing SCP, the SCP constructed in this article is scheduled by semi-Markov kernel, and the probability density function of its sojourn-time is assured by both the current mode and the next mode. Then, considering the influence of SCP and DoS attacks, the cooperative design conditions of observer-based security controller based on mode-dependent and fuzzy-dependent are given. Furthermore, a mode-dependent and sojourn-time-dependent Lyapunov function is adopted, and a sufficient condition for the mean square exponential stability of the closed-loop system is ensured. Finally, the feasibility of the method is verified by a mechanical motion model.

Suggested Citation

  • Xia, Pei-Zhen & Chang, Xiao-Heng, 2025. "Observer-based security control for nonlinear networked systems: The SCP model of semi-Markov kernel approach," Applied Mathematics and Computation, Elsevier, vol. 498(C).
    • Handle: RePEc:eee:apmaco:v:498:y:2025:i:c:s0096300325001213
    DOI: 10.1016/j.amc.2025.129394
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    References listed on IDEAS

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    1. Elayabharath, V.T. & Sozhaeswari, P. & Tatar, N. & Sakthivel, R. & Satheesh, T., 2025. "Resilient observer-based unified state and fault estimation for nonlinear parabolic PDE systems via fuzzy approach over finite-time interval," Applied Mathematics and Computation, Elsevier, vol. 488(C).
    2. Bei Wu & Brenda Ivette Garcia Maya & Nikolaos Limnios, 2021. "Using Semi-Markov Chains to Solve Semi-Markov Processes," Methodology and Computing in Applied Probability, Springer, vol. 23(4), pages 1419-1431, December.
    3. Zhang, Liang & Liang, Jing & Feng, Zhiguang & Zhao, Ning, 2024. "Improved results of asynchronous mixed H∞ and passive control for discrete-time linear switched system with mode-dependent average dwell time," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
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