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Stability and stabilization analysis of nonlinear time-delay systems with randomly occurring controller gain fluctuation

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  • Cao, Yang
  • Sriraman, R.
  • Samidurai, R.

Abstract

The problem of stability and stabilization analysis for a class of delayed nonlinear systems is studied in this manuscript. The nonlinear function is forever presumed to comply with the Lipschitz condition in the real domain. Furthermore, non-fragile controller algorithm is designed with randomly occurring controller gain fluctuation (ROCGF). By handling the Lyapunov function approach and the integral inequality technique, LMI-based sufficient criteria are determined. Three numerical packages were supplied to demonstrate the efficiency of the derived results.

Suggested Citation

  • Cao, Yang & Sriraman, R. & Samidurai, R., 2020. "Stability and stabilization analysis of nonlinear time-delay systems with randomly occurring controller gain fluctuation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 36-51.
    • Handle: RePEc:eee:matcom:v:171:y:2020:i:c:p:36-51
    DOI: 10.1016/j.matcom.2019.03.002
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    References listed on IDEAS

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    1. Cheng, Jun & Chen, Shiqiang & Liu, Zhijun & Wang, Hailing & Li, Jin, 2016. "Robust finite-time sampled-data control of linear systems subject to random occurring delays and its application to Four-Tank system," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 55-76.
    2. Rajavel, S. & Samidurai, R. & Cao, Jinde & Alsaedi, Ahmed & Ahmad, Bashir, 2017. "Finite-time non-fragile passivity control for neural networks with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 297(C), pages 145-158.
    3. Maharajan, C. & Raja, R. & Cao, Jinde & Rajchakit, G. & Tu, Zhengwen & Alsaedi, Ahmed, 2018. "LMI-based results on exponential stability of BAM-type neural networks with leakage and both time-varying delays: A non-fragile state estimation approach," Applied Mathematics and Computation, Elsevier, vol. 326(C), pages 33-55.
    4. Vimal Kumar, S. & Raja, R. & Marshal Anthoni, S. & Cao, Jinde & Tu, Zhengwen, 2018. "Robust finite-time non-fragile sampled-data control for T-S fuzzy flexible spacecraft model with stochastic actuator faults," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 483-497.
    5. Yang, Yuxia & Lin, Chong & Chen, Bing & Wang, Qing-Guo, 2018. "Reduced-order observer design for a class of generalized Lipschitz nonlinear systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 267-280.
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    Cited by:

    1. Pharunyou Chanthorn & Grienggrai Rajchakit & Sriraman Ramalingam & Chee Peng Lim & Raja Ramachandran, 2020. "Robust Dissipativity Analysis of Hopfield-Type Complex-Valued Neural Networks with Time-Varying Delays and Linear Fractional Uncertainties," Mathematics, MDPI, vol. 8(4), pages 1-22, April.
    2. Dianavinnarasi, J. & Cao, Yang & Raja, R. & Rajchakit, G. & Lim, C.P., 2020. "Delay-dependent stability criteria of delayed positive systems with uncertain control inputs: Application in mosquito-borne morbidities control," Applied Mathematics and Computation, Elsevier, vol. 382(C).
    3. Gao, Panqing & Ye, Renyu & Zhang, Hai & Stamova, Ivanka & Cao, Jinde, 2024. "Asymptotic stability and quantitative synchronization of fractional competitive neural networks with multiple restrictions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 217(C), pages 338-353.

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