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<p>Based on Takagi–Sugeno (T–S) fuzzy models, this paper focuses on the fuzzy intermittent security control for nonlinear Markov jump parabolic partial differential equation (PDE) system with random deception attacks under spatially point measurements (SPMs). Using the Lyapunov function (LF) and some inequality techniques, a series of stability conditions, which guarantee the stochastically exponential stability of the closed-loop Markov jump parabolic PDE system, are established in the form of linear matrix inequalities (LMIs). Finally, a simulation study is given to verify the effectiveness of the developed approach.</p>

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Fuzzy Intermittent Security Control for Nonlinear Markov Jump Parabolic PDE Systems with Random Deception Attacks

  • 期刊论文

  • 发表日期：

    2025年1月7日

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  • Chun-Ting Lin,
  • Zi-Peng Wang,
  • Chun-Yan Han,
  • Junfei Qiao,
  • Huai-Ning Wu

摘要

Based on Takagi–Sugeno (T–S) fuzzy models, this paper focuses on the fuzzy intermittent security control for nonlinear Markov jump parabolic partial differential equation (PDE) system with random deception attacks under spatially point measurements (SPMs). Using the Lyapunov function (LF) and some inequality techniques, a series of stability conditions, which guarantee the stochastically exponential stability of the closed-loop Markov jump parabolic PDE system, are established in the form of linear matrix inequalities (LMIs). Finally, a simulation study is given to verify the effectiveness of the developed approach.