IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v240y2026icp520-537.html

A novel time-dependent sampled-data control for fuzzy Markov jump systems with cyber-attacks and missing measurements

Author

Listed:
  • Balasubramani, Visakamoorthi
  • Hur, Sung-ho

Abstract

A time-dependent sampled-data controller (SDC) is designed to examine the stochastic stability and H∞ performance of a class of fuzzy Markov jump systems (FMJSs) subjected to limited external perturbations and time-variant mode-dependent delays. For the FMJS, first, a time-dependent SDC with randomly occurring cyber-attacks and missing data measurements that adhere to the Bernoulli distribution is developed. Subsequently, a new stochastic Lyapunov–Krasovskii functional (LKF) is developed in the mode-dependent augmented form to take full advantage of the variable properties of the actual sampling pattern. Furthermore, the principal Lyapunov term accounts for aperiodic sampling to varying degrees. To guarantee the stochastic stability of the closed-loop system, new delay-dependent criteria are established within the framework of linear matrix inequalities according to the proposed time-dependent control approach and LKF. Finally, two illustrative applications are presented to verify the mathematical findings with reduced conservatism, that is, by expanding the sampling period size and decreasing the number of decision variables.

Suggested Citation

  • Balasubramani, Visakamoorthi & Hur, Sung-ho, 2026. "A novel time-dependent sampled-data control for fuzzy Markov jump systems with cyber-attacks and missing measurements," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 240(C), pages 520-537.
    • Handle: RePEc:eee:matcom:v:240:y:2026:i:c:p:520-537
    DOI: 10.1016/j.matcom.2025.07.038
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475425003039
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2025.07.038?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Selvaraj, P. & Kwon, O.M. & Lee, S.H. & Sakthivel, R. & Lee, S.M., 2024. "Event-triggered control design with varying gains for polynomial fuzzy systems against DoS attacks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 1-14.
    2. Vadivel, R. & Sabarathinam, S. & Wu, Yongbao & Chaisena, Kantapon & Gunasekaran, Nallappan, 2022. "New results on T–S fuzzy sampled-data stabilization for switched chaotic systems with its applications," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    3. Tajudeen, M. Mubeen & Ali, M. Syed & Thakur, Ganesh Kumar & Priya, Bandana & Perumal, R., 2025. "Non-fragile control of discrete-time conic-type nonlinear Markovian jump systems under deception attacks using event-triggered scheme and Its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 227(C), pages 209-225.
    4. Bhuvaneshwari, G. & Prakash, M. & Rakkiyappan, R. & Manivannan, A., 2023. "Stability and stabilization analysis of T-S fuzzy systems with distributed time-delay using state-feedback control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 778-793.
    5. Nirvin, Prasath & Rihan, Fathalla A. & Rakkiyappan, Rajan & Pradeep, Chandrasekar, 2022. "Impulsive sampled-data controller design for synchronization of delayed T–S fuzzy Hindmarsh–Rose neuron model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 588-602.
    6. Rakkiyappan, R. & Sharmila, V. & Janani, K. & Kashkynbayev, Ardak, 2024. "Stabilization of Takagi–Sugeno fuzzy Hidden Markov Jump Systems with memory sampled-data control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 226(C), pages 204-217.
    7. Gao, Meng & Zhang, Lihua & Qi, Wenhai & Cao, Jinde & Cheng, Jun & Kao, Yonggui & Wei, Yunliang & Yan, Xiaoyu, 2020. "SMC for semi-Markov jump T-S fuzzy systems with time delay," Applied Mathematics and Computation, Elsevier, vol. 374(C).
    8. Yifang Yan & Chunyu Yang & Xiaoping Ma & Linna Zhou, 2018. "Sampled-data H∞ filtering for Markovian jump singularly perturbed systems with time-varying delay and missing measurements," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(3), pages 464-478, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Visakamoorthi, B. & Subramanian, K. & Muthukumar, P., 2022. "Hidden Markov model based non-fragile sampled-data control design for mode-dependent fuzzy systems with actuator faults," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    2. Wang, Jinling & Li, Shuoshuo & Wang, Kai & Li, Qiang & Tao, Wenyu, 2026. "Asynchronous dissipative filtering for T–S fuzzy singular switched positive delay systems with quantization effects and missing measurements," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 241(PB), pages 596-612.
    3. Ma, Yajing & Li, Zhanjie & Xie, Xiangpeng & Yue, Dong, 2023. "Adaptive consensus of uncertain switched nonlinear multi-agent systems under sensor deception attacks," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    4. Yang, Tianqing & Zou, Runmin & Liu, Fang & Liu, Cai & Sidorov, Denis, 2023. "Improved stabilization condition of delayed T-S fuzzy systems via an extended quadratic function negative-determination lemma," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    5. Harshavarthini, S. & Kwon, O.M. & Lee, S.M., 2022. "Uncertainty and disturbance estimator-based resilient tracking control design for fuzzy semi-Markovian jump systems," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    6. Sun, Xiangguang & Zheng, Jun, 2025. "A dynamic information flow control framework for hyperchaos in complex-variable systems and FPGA-based applications," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).
    7. Wu, Jiacheng & Su, Lei & Li, Shaoming & Wang, Jing & Chen, Xiangyong, 2021. "Extended dissipative filtering for singularly perturbed systems with random uncertain measurement: A double-layer switching mechanism," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    8. Guglielmo D’Amico & Salvatore Vergine, 2026. "Analysis of Semi-Markov Reward Processes Motivated by Ramp Rate Limitation in Wind Farms," Methodology and Computing in Applied Probability, Springer, vol. 28(1), pages 1-43, March.
    9. Nguyen, Khanh Hieu & Kim, Sung Hyun, 2024. "Improved stability and stabilization criteria of sampled-data control systems based on an enhanced looped-functional," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 69-81.
    10. Shu, Jinlong & Wu, Baowei & Xiong, Lianglin & Wu, Tao & Zhang, Haiyang, 2021. "Stochastic stabilization of Markov jump quaternion-valued neural network using sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    11. Wang, Xingxing & Ma, Yuechao, 2023. "Adaptive non-fragile sliding mode control for switched semi-Markov jump system with time-delay and attack via reduced-order method," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    12. Lee, Won Il & Park, Bum Yong & Kim, Sung Hyun, 2022. "Relaxed observer-based stabilization and dissipativity conditions of T-S fuzzy systems with nonhomogeneous Markov jumps via non-PDC scheme," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    13. Yesudhas, Anto Anbarasu & Kuppusamy, Subramanian & Lee, Syeong Ryong & Jeong, Jae Hoon & Joo, Young Hoon, 2024. "Switched sampled-data-based membership function-dependent H∞ control for PMSG-based WTS with actuator failures," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 226(C), pages 560-577.
    14. Narayanan, G. & Syed Ali, M. & Karthikeyan, Rajagopal & Rajchakit, Grienggrai & Jirawattanapanit, Anuwat, 2022. "Novel adaptive strategies for synchronization control mechanism in nonlinear dynamic fuzzy modeling of fractional-order genetic regulatory networks," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    15. Nguyen, Khanh Hieu & Kim, Sung Hyun, 2024. "Improved stability and stabilization criteria for multi-rate sampled-data control systems via novel delay-dependent states," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 221(C), pages 197-209.
    16. Arockia Samy, Stephen & Jeong, Jae Hoon & Bai, Xiaoshan & Joo, Young Hoon, 2025. "Reliable memory sampled-data control for leader-following consensus of nonlinear multi-agent systems and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 238(C), pages 361-382.
    17. Wimonnat Sukpol & Vadivel Rajarathinam & Porpattama Hammachukiattikul & Putsadee Pornphol, 2025. "Design of Extended Dissipative Approach via Memory Sampled-Data Control for Stabilization and Its Application to Mixed Traffic System," Mathematics, MDPI, vol. 13(15), pages 1-20, July.
    18. Wang, Yanqian & Chen, Fu & Zhuang, Guangming & Yang, Guang, 2020. "Dynamic event-based mixed H∞ and dissipative asynchronous control for Markov jump singularly perturbed systems," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    19. Yassine Benyazid & Mohamed Fnadi & Ahmed Said Nouri, 2023. "A Discrete Integral Sliding Manifold for a Nonlinear System with Time Delay: An Event-Triggered Scheme," Mathematics, MDPI, vol. 11(10), pages 1-19, May.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:240:y:2026:i:c:p:520-537. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.