IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v517y2026ics0096300325006204.html

A sampling sub-interval error-based stochastic feedback sampled-data control for nonlinear stochastic Markovian jump systems

Author

Listed:
  • Wang, Yingchun
  • Song, Siyong
  • Mu, Yunfei
  • Zhang, Huaguang

Abstract

This paper addresses the exponential stabilization of nonlinear stochastic Markovian jump systems (NSMJSs) based on stochastic feedback sampled-data controllers. Firstly, a stochastic sampled-data-based switching control framework is established for NSMJSs, in which the switching controller modes do not match the system mode. The advantages are that it does not require real-time detection of system modes and relaxes the strict condition that the system mode remains unchanged between the sampling intervals. Secondly, a novel sampling sub-interval error analysis method is developed for the design of the stochastic feedback sampling controller, such that the NSMJSs are p-th exponentially stable, and the conditions for the maximum allowable upper bound of sampling intervals (UBOSIs) are achieved, which can not only increase the sampling intervals significantly but also decrease the computation resource. Moreover, some enhanced p-th exponential stabilization results for general stochastic systems are given. Compared with some existing important results, the conservatism of the UBOSIs is reduced greatly by simulation examples.

Suggested Citation

  • Wang, Yingchun & Song, Siyong & Mu, Yunfei & Zhang, Huaguang, 2026. "A sampling sub-interval error-based stochastic feedback sampled-data control for nonlinear stochastic Markovian jump systems," Applied Mathematics and Computation, Elsevier, vol. 517(C).
    • Handle: RePEc:eee:apmaco:v:517:y:2026:i:c:s0096300325006204
    DOI: 10.1016/j.amc.2025.129895
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300325006204
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2025.129895?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. Xie, Lifei & Cheng, Jun & Wang, Hailing & Wang, Jiange & Hu, Mengjie & Zhou, Zhidong, 2022. "Memory-based event-triggered asynchronous control for semi-Markov switching systems," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    2. Fang, Liandi & Ma, Li & Ding, Shihong & Zhao, Dean, 2019. "Finite-time stabilization for a class of high-order stochastic nonlinear systems with an output constraint," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 63-79.
    3. Li, Xiaoqing & Nguang, Sing Kiong & She, Kun & Cheng, Jun & Zhong, Shouming, 2021. "Resilient controller synthesis for Markovian jump systems with probabilistic faults and gain fluctuations under stochastic sampling operational mechanism," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    4. Zhang, Jianyu & Wang, Yingying & Yang, Songwei & Li, Jiaojiao & Qu, Hao, 2024. "A design of fuzzy sliding mode control for Markovian jumping system with different input matrices," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    5. Peng, Dongxue & Li, Xiaodi & Rakkiyappan, R. & Ding, Yanhui, 2021. "Stabilization of stochastic delayed systems: Event-triggered impulsive control," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    6. 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).
    7. Jiang, Baoping & Wu, Zhengtian & Karimi, Hamid Reza, 2022. "A traverse algorithm approach to stochastic stability analysis of Markovian jump systems with unknown and uncertain transition rates," Applied Mathematics and Computation, Elsevier, vol. 422(C).
    8. Mao, Xuerong & Marion, Glenn & Renshaw, Eric, 2002. "Environmental Brownian noise suppresses explosions in population dynamics," Stochastic Processes and their Applications, Elsevier, vol. 97(1), pages 95-110, January.
    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. Tong, Jinying & Zhang, Zhenzhong & Bao, Jianhai, 2013. "The stationary distribution of the facultative population model with a degenerate noise," Statistics & Probability Letters, Elsevier, vol. 83(2), pages 655-664.
    2. Huang, Zaitang & Cao, Junfei, 2018. "Ergodicity and bifurcations for stochastic logistic equation with non-Gaussian Lévy noise," Applied Mathematics and Computation, Elsevier, vol. 330(C), pages 1-10.
    3. Mei, Keqi & Ding, Shihong, 2022. "Output-feedback finite-time stabilization of a class of constrained planar systems," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    4. Linwu Shen & Qiang Chen & Meiling Tao & Xiongxiong He, 2019. "Adaptive Fixed-Time Sliding Mode Control for Uncertain Twin-Rotor System with Experimental Validation," Complexity, Hindawi, vol. 2019, pages 1-11, October.
    5. Shi, Zhenfeng & Zhang, Xinhong & Jiang, Daqing, 2019. "Dynamics of an avian influenza model with half-saturated incidence," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 399-416.
    6. Zhiguo Yan & Fangxu Su, 2022. "Mean-Square Strong Stability and Stabilization of Discrete-Time Markov Jump Systems with Multiplicative Noises," Mathematics, MDPI, vol. 10(6), pages 1-16, March.
    7. Yao, Hejun & Gao, Fangzheng & Huang, Jiacai & Wu, Yuqiang, 2021. "Global prescribed-time stabilization via time-scale transformation for switched nonlinear systems subject to switching rational powers," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    8. Liu, Meng & Wang, Ke, 2009. "Survival analysis of stochastic single-species population models in polluted environments," Ecological Modelling, Elsevier, vol. 220(9), pages 1347-1357.
    9. Qi, Kai & Jiang, Daqing & Hayat, Tasawar & Alsaedi, Ahmed, 2021. "Virus dynamic behavior of a stochastic HIV/AIDS infection model including two kinds of target cell infections and CTL immune responses," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 548-570.
    10. Dong, Qiuyue & Wang, Yan & Jiang, Daqing, 2025. "Dynamic analysis of an HIV model with CTL immune response and logarithmic Ornstein–Uhlenbeck process," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    11. Zhao, Xin-Yue & Kong, Qingkai & Zhou, Jianping, 2026. "Finite-time security E2P filter design of fuzzy discrete-time singular system," Applied Mathematics and Computation, Elsevier, vol. 511(C).
    12. Hu, Guixin & Li, Yanfang, 2015. "Asymptotic behaviors of stochastic periodic differential equation with Markovian switching," Applied Mathematics and Computation, Elsevier, vol. 264(C), pages 403-416.
    13. Liu, Qun & Jiang, Daqing & Shi, Ningzhong & Hayat, Tasawar & Ahmad, Bashir, 2017. "Stationary distribution and extinction of a stochastic SEIR epidemic model with standard incidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 476(C), pages 58-69.
    14. Roy, Jyotirmoy & Alam, Shariful, 2020. "Fear factor in a prey–predator system in deterministic and stochastic environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    15. Wang, Yuxiao & Cao, Yuting & Guo, Zhenyuan & Wen, Shiping, 2020. "Passivity and passification of memristive recurrent neural networks with multi-proportional delays and impulse," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    16. Liu, Qun & Jiang, Daqing, 2020. "Threshold behavior in a stochastic SIR epidemic model with Logistic birth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    17. Xie, Falan & Shan, Meijing & Lian, Xinze & Wang, Weiming, 2017. "Periodic solution of a stochastic HBV infection model with logistic hepatocyte growth," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 630-641.
    18. Qi, Haokun & Zhang, Shengqiang & Meng, Xinzhu & Dong, Huanhe, 2018. "Periodic solution and ergodic stationary distribution of two stochastic SIQS epidemic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 223-241.
    19. Liu, Yuting & Shan, Meijing & Lian, Xinze & Wang, Weiming, 2016. "Stochastic extinction and persistence of a parasite–host epidemiological model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 586-602.
    20. Arthanari Ramesh & Alireza Bahramian & Hayder Natiq & Karthikeyan Rajagopal & Sajad Jafari & Iqtadar Hussain, 2022. "A Novel Highly Nonlinear Quadratic System: Impulsive Stabilization, Complexity Analysis, and Circuit Designing," Complexity, John Wiley & Sons, vol. 2022(1).

    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:apmaco:v:517:y:2026:i:c:s0096300325006204. 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: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.