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Finite-time dissipative control for stochastic interval systems with time-delay and Markovian switching

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  • Chen, Guici
  • Gao, Yu
  • Zhu, Shasha

Abstract

The finite-time stochastically boundedness (FTSB) and the finite-time strictly stochastically exponential dissipative (FTSSED) control problems for the stochastic interval systems, which are encountered the time-delay and Markovian switching, are investigated in this paper. The stochastic delayed interval systems with Markovian switching (SDISswMS) are equivalently transformed into a kind of stochastic uncertain time-delay systems with Markovian switching by interval matrix transformation. Some sufficient conditions of FTSB and FTSSED for the stochastic delayed interval systems with Markovian switching are obtained, and the FTSB and FTSSED controllers are designed by solving a series of linear matrix inequalities, which are solvable by LMIs toolbox. Finally, a numerical example with simulations is given to illustrate the correctness of the obtained results and the effectiveness of the designed controller.

Suggested Citation

  • Chen, Guici & Gao, Yu & Zhu, Shasha, 2017. "Finite-time dissipative control for stochastic interval systems with time-delay and Markovian switching," Applied Mathematics and Computation, Elsevier, vol. 310(C), pages 169-181.
    • Handle: RePEc:eee:apmaco:v:310:y:2017:i:c:p:169-181
    DOI: 10.1016/j.amc.2017.04.033
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    Cited by:

    1. Chen, Weimin & Zhang, Baoyong & Ma, Qian, 2018. "Decay-rate-dependent conditions for exponential stability of stochastic neutral systems with Markovian jumping parameters," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 93-105.
    2. Ling Hou & Dongyan Chen & Chan He, 2019. "Finite-Time Nonfragile Dissipative Control for Discrete-Time Neural Networks with Markovian Jumps and Mixed Time-Delays," Complexity, Hindawi, vol. 2019, pages 1-17, June.
    3. Yan, Zhiguo & Zhang, Min & Chang, Gaizhen & Lv, Hui & Park, Ju H., 2022. "Finite-time annular domain stability and stabilization of Itô stochastic systems with Wiener noise and Poisson jumps-differential Gronwall inequality approach," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    4. Lei Yu & Guici Chen & Feng Jiang & Zhi Wang, 2022. "New Criterias of Synchronization for Discrete-Time Recurrent Neural Networks with Time-Varying Delay via Event-Triggered Control," Mathematics, MDPI, vol. 10(15), pages 1-17, August.
    5. Wu, Kai-Ning & Sun, Han-Xiao & Yang, Baoqing & Lim, Cheng-Chew, 2018. "Finite-time boundary control for delay reaction–diffusion systems," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 52-63.
    6. Sakthivel, R. & Joby, Maya & Wang, Chao & Kaviarasan, B., 2018. "Finite-time fault-tolerant control of neutral systems against actuator saturation and nonlinear actuator faults," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 425-436.

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