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Robust synchronization of uncertain delayed neural networks with packet dropout using sampled-data control

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Abstract

Previous research for synchronization of neural networks have obtained some good results, but there are still some shortcomings in the research of uncertain delayed neural networks (DNN) with packet dropout. In this paper, we investigate the robust synchronization problem for uncertain neural networks with time-delay and packet dropout under sampled-data control (SDC). A neoteric time-delay Lyapunov-Krasovskii functional (TDLKF) with discrete and distributed delays is constructed by introducing some new constraints. With the help of the constructed TDLKF and the improved integral inequality, some stability criteria are derived to guarantee the error system synchronize exponentially when package dropout occurs randomly. The corresponding sampled-data controller can be acquired by solving a host of linear matrix inequalities (LMIs). Some numerical examples are used to illustrate the validity of the proposed method. The results show that the proposed method is an effective control strategy to solve the synchronization control problem of uncertain delayed neural networks with packet dropout.

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References

  1. Li RX, Gao XB, Cao JD (2019) Exponential synchronization of stochastic memristive neural networks with time-varying delays. Neural Process Lett 50(1):459–475

    Article  Google Scholar 

  2. Chen C, Li L, Peng H, Yang Y, Mi L, Wang L (2019) A new fixed-time stability theorem and its application to the synchronization control of memristive neural networks. Neurocomputing 349 (15):290–300

    Article  Google Scholar 

  3. Li GH, Li HY, Ma H, Yao DY, Lu RQ Human-in-the-loop consensus control for nonlinear multi-agent systems with actuator faults. IEEE/CAA J. Autom. Sin. https://doi.org/10.1109/JAS.2020.1003596

  4. Kan Y, Lu JQ, Qiu JL, Jurgen K (2019) Exponential synchronization of time-varying delayed complex-valued neural networks under hybrid impulsive controllers. Neural Netw 114:157–163

    Article  Google Scholar 

  5. Qu QX, Zhang H, Yu R, Liu Y (2018) Neural network-based \(H_{\infty }\) sliding mode control for nonlinear systems with actuator faults and unmatched disturbances. Neurocomputing 275(31):2009–2018

    Article  Google Scholar 

  6. Karthick SA, Sakthivel R, Ma YK, Mohanapriya S, Leelamani A (2019) Disturbance rejection of fractional-order TS fuzzy neural networks based on quantized dynamic output feedback controller. Appl Math Comput 361(15):846–857

    MathSciNet  MATH  Google Scholar 

  7. Wang W, Yu MH, Luo X, Liu LL, Yuan MM, Zhao WB (2017) Synchronization of memristive BAM neural networks with leakage delay and additive time-varying delay components via sampled-data control. Chaos Solitons Fractals 104:84–97

    Article  MathSciNet  Google Scholar 

  8. Cao YT, Wang SB, Guo ZY, Huang TW, Wen SP (2019) Synchronization of memristive neural networks with leakage delay and parameters mismatch via event-triggered control. Neural Netw 119:178–189

    Article  Google Scholar 

  9. Ge C, Wang BF, Wei X, Liu YJ (2017) Exponential synchronization of a class of neural networks with sampled-data control. Appl Math Comput 315(15):150–161

    MathSciNet  MATH  Google Scholar 

  10. Song QK, Zhao ZJ (2013) Cluster, local and complete synchronization in coupled neural networks with mixed delays and nonlinear coupling. Neural Comput Appl 24(5):1101–1113

    Article  Google Scholar 

  11. Shi XR, Wang Z, Han LX (2017) Finite-time stochastic synchronization of time-delay neural networks with noise disturbance. Nonlinear Dyn 88(4):2747–2755

    Article  MathSciNet  Google Scholar 

  12. Lin WJ, He Y, Wu M, Liu QP (2018) Reachable set estimation for Markovian jump neural networks with time-varying delay. Neural Netw 108:527–532

    Article  Google Scholar 

  13. Sowmiya C, Raja R, Zhu QX, Rajchakit G (2019) Further mean-square asymptotic stability of impulsive discrete-time stochastic BAM neural networks with Markovian jumping and multiple time-varying delays. J Franklin Inst 356(1):561–591

    Article  MathSciNet  Google Scholar 

  14. Lee SH, Park MJ, Kwon OM, Selvaraj P (2019) Improved Synchronization Criteria for Chaotic Neural Networks with Sampled-data Control Subject to Actuator Saturation. Int J Control Autom Syst 17 (9):2430–2440

    Article  Google Scholar 

  15. Lian HH, Xiao SP, Wang Z, Zhang XH, Xiao HQ (2019) Further results on sampled-data synchronization control for chaotic neural networks with actuator saturation. Neurocomputing 346:30–37

    Article  Google Scholar 

  16. Zhuang G, Ma Q, Xia J, Zhang H (2015) \(H_{\infty }\) Estimation for Markovian Jump Neural Networks With Quantization, Transmission Delay and Packet Dropout. Neural Process Lett 44(2):317–341

    Article  Google Scholar 

  17. Lee TH, Park JH, Jung H (2018) Network-based \(H_{\infty }\) state estimation for neural networks using imperfect measurement. Appl Math Comput 316:205–214

    MathSciNet  MATH  Google Scholar 

  18. Li HY, Wu Y, Chen M (2021) Adaptive fault-tolerant tracking control for discrete-time multi-agent systems via reinforcement learning algorithm. IEEE Trans Cybern 51(3):1163–1174

    Article  Google Scholar 

  19. Wu ZG, Shi P, Su HY, Chu J (2012) Exponential synchronization of neural networks with discrete and distributed delays under time-varying sampling. IEEE Trans Neural Netw Learn Syst 23(9):1368–1376

    Article  Google Scholar 

  20. Zhang QJ, Chen GR, Wan L (2018) Exponential synchronization of discrete-time impulsive dynamical networks with time-varying delays and stochastic disturbances. Neurocomputing 309(2):62–69

    Article  Google Scholar 

  21. Li XF, Fang JA, Li HY (2017) Master–slave exponential synchronization of delayed complex-valued memristor-based neural networks via impulsive control. Neural Netw 93:165–175

    Article  Google Scholar 

  22. Zhang WB, Han QL, Tang Y, Liu YR (2019) Sampled-data control for a class of linear time-varying systems. Automatica 103:126–134

    Article  MathSciNet  Google Scholar 

  23. Lee TH, Park JH (2019) Design of sampled-data controllers for the synchronization of complex dynamical networks under controller attacks. Adv Differ Equ 2019(1):1–15

    Article  MathSciNet  Google Scholar 

  24. Xiao SP, Lian HH, Teo KL, Zeng HB, Zhang XH (2018) A new Lyapunov functional approach to sampled-data synchronization control for delayed neural networks. J Franklin Inst 355(17):8857–8873

    Article  MathSciNet  Google Scholar 

  25. Zeng DQ, Zhang RM, Liu XZ, Zhong SM, Shi KB (2018) Pinning stochastic sampled-data control for exponential synchronization of directed complex dynamical networks with sampled-data communications. Appl Math Comput 337(15)):102–118

    MathSciNet  MATH  Google Scholar 

  26. Zeng HB, Teo KL, He Y, Xu HL, Wang W (2017) Sampled-data synchronization control for chaotic neural networks subject to actuator saturation. Neurocomputing 260:25–31

    Article  Google Scholar 

  27. Huang DS, Jiang MH, Jian JG (2017) Finite-time synchronization of inertial memristive neural networks with time-varying delays via sampled-date control. Neurocomputing 266(29):527–539

    Article  Google Scholar 

  28. Lee TH, Park JH (2107) Improved criteria for sampled-data synchronization of chaotic Lur’e systems using two new approaches. Nonlinear Anal Hybrid Syst 24:132–145

    Article  MathSciNet  Google Scholar 

  29. Guan CX, Sun D, Fei ZY, Ren C (2018) Synchronization for switched neural networks via variable sampled-data control method. Neurocomputing 311(15):325–332

    Article  Google Scholar 

  30. Tang PY, Ma YC (2019) Exponential stabilization sampled-date \(H_{\infty }\) control for uncertain T–S fuzzy systems with time-varying delay. J Franklin Inst 356(9):4859–4857

    Article  MathSciNet  Google Scholar 

  31. Luo YQ, Song BY, Liang JL, Dobaie AM (2017) Finite-time state estimation for jumping recurrent neural networks with deficient transition probabilities and linear fractional uncertainties. Neurocomputing 260 (18):265–274

    Article  Google Scholar 

  32. Senthilkumar T (2016) Robust stabilization and \(H_{\infty }\) control for nonlinear stochastic T-S fuzzy Markovian jump systems wi. Neurocomputing 173 (3):1615–1624

    Article  Google Scholar 

  33. Sakthivel R, Rathika M, Santra S, Zhu QX (2015) Dissipative reliable controller design for uncertain systems and its application. Appl Math Comput 263(15):107–121

    MathSciNet  MATH  Google Scholar 

  34. Rakkiyappan R, Dharani S, Cao JD (2015) Synchronization of neural networks with control packet loss and time-varying delay via stochastic sampled-data controller. IEEE Trans Neural Netw Learn Syst 26 (12):3215–3226

    Article  MathSciNet  Google Scholar 

  35. Wang J, Shi KB, Huang QZ, Zhong SM, Zhan D (2018) Stochastic switched sampled-data control for synchronization of delayed chaotic neural networks with packet dropout. Appl Math Comput 335:211–230

    MathSciNet  MATH  Google Scholar 

  36. Niu YC, Sheng L, Wang WB (2016) Delay-dependent \(H_{\infty }\) synchronization for chaotic neural networks with network-induced delays and packet dropouts. Neurocomputing 214(19):7–15

    Article  Google Scholar 

  37. Park PG, Ko JW, Jeong CK (2011) Reciprocally convex approach to stability of systems with time-varying delays. Automatica 47(1):235–238

    Article  MathSciNet  Google Scholar 

  38. Ge C, Shi YP, Park JH, Hua CC (2019) Robust \(H_{\infty }\) stabilization for T-S fuzzy systems with time-varying delays and memory sampled-data control. Appl Math Comput 346(1):500–512

    MathSciNet  MATH  Google Scholar 

  39. Briat C, Seuret A (2012) A looped-functional approach for robust stability analysis of linear impulsive systems. Syst Control Lett 61(10):980–988

    Article  MathSciNet  Google Scholar 

  40. Johansson KH (2000) The Quadruple-Tank process: a multivariable laboratory process with an adjustable zero. IEEE Trans Control Syst Technol 8:456–465

    Article  Google Scholar 

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Correspondence to Jiayong Zhang, Wei Li or Chao Ge.

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Zhang, G., Zhang, J., Li, W. et al. Robust synchronization of uncertain delayed neural networks with packet dropout using sampled-data control. Appl Intell 51, 9054–9065 (2021). https://doi.org/10.1007/s10489-021-02388-1

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