Asynchronous Boundary Control of Markov Jump Neural Networks With Diffusion Terms

被引:26
|
作者
Han, Xin-Xin [1 ]
Wu, Kai-Ning [1 ]
Niu, Yugang [2 ]
机构
[1] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China
[2] East China Univ Sci & Technol, Minist Educ, Key Lab Smart Mfg Energy Chem Proc, Shanghai 200237, Peoples R China
关键词
Markov processes; Neurons; Artificial neural networks; Symmetric matrices; Process control; Control design; Switches; Asynchronous switching; boundary control; finite-time H∞ control; Markov jump reaction-diffusion neural networks (MJRDNNs); FINITE-TIME STABILIZATION; STATE ESTIMATION; SYSTEMS; SYNCHRONIZATION;
D O I
10.1109/TCYB.2022.3151709
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This article concerns with the asynchronous boundary control for a class of Markov jump reaction-diffusion neural networks (MJRDNNs). In consideration of nonsynchronous behavior between the system modes and controller modes, a novel asynchronous boundary control design is proposed for MJRDNNs. Based on the designed asynchronous boundary controller, a sufficient criterion is established to ensure the stochastic finite-time boundedness for the considered MJRDNNs by constructing a Lyapunov-Krasovskii functional and utilizing Wirtinger-type inequality. Then, a sufficient condition is acquired to guarantee that MJRDNNs are stochastic finite-time bounded with $H_{infinity}$ performance. Finally, a numerical example is provided to illustrate the effectiveness of the proposed design method.
引用
收藏
页码:4962 / 4971
页数:10
相关论文
共 50 条
  • [1] Asynchronous boundary stabilization for T-S fuzzy Markov jump delay reaction-diffusion neural networks
    Han, Xin-Xin
    Wu, Kai-Ning
    Yao, Yu
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (07): : 2833 - 2856
  • [2] Asynchronous Filtering for Markov Jump Neural Networks With Quantized Outputs
    Shen, Ying
    Wu, Zheng-Guang
    Shi, Peng
    Su, Hongye
    Huang, Tingwen
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2019, 49 (02): : 433 - 443
  • [3] Synchronization of Markov Jump Neural Networks With Communication Constraints via Asynchronous Output Feedback Control
    Tao, Jie
    Wu, Zhenyu
    Xiao, Zehui
    Rao, Hongxia
    Xu, Yong
    Shi, Peng
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2024, 35 (11) : 15724 - 15734
  • [4] Synchronization of Markov Jump Neural Networks With Communication Constraints via Asynchronous Output Feedback Control
    Tao, Jie
    Wu, Zhenyu
    Xiao, Zehui
    Rao, Hongxia
    Xu, Yong
    Shi, Peng
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2023, 35 (11) : 1 - 11
  • [5] Asynchronous Boundary Stabilization of Stochastic Markov Jump Reaction-Diffusion Systems
    Han, Xin-Xin
    Wu, Kai-Ning
    Niu, Yugang
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2022, 52 (09): : 5668 - 5678
  • [6] Probabilistic-sampling-based asynchronous control for semi-Markov jumping neural networks with reaction-diffusion terms
    Wei, Wanying
    Zhang, Dian
    Cheng, Jun
    Cao, Jinde
    Zhang, Dan
    Qi, Wenhai
    NEURAL NETWORKS, 2025, 184
  • [7] Intermittent Control for Synchronization of Markov Jump Inertial Neural Networks with Reaction–Diffusion Terms via Non-reduced-Order Method
    Dongxiao Hu
    Xiaona Song
    Xingru Li
    Jianwei Ma
    Circuits, Systems, and Signal Processing, 2023, 42 : 199 - 215
  • [8] NONFRAGILE MEMORY-BASED OUTPUT FEEDBACK CONTROL FOR FUZZY MARKOV JUMP GENERALIZED NEURAL NETWORKS WITH REACTION-DIFFUSION TERMS
    Man, Jingtao
    Song, Xiaona
    Lu, Junwei
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2019, 15 (05): : 1609 - 1628
  • [9] Synchronization of fractional-order reaction-diffusion neural networks with Markov parameter jumping: Asynchronous boundary quantization control
    Liu, Fengyi
    Yang, Yongqing
    Wang, Fei
    Zhang, Lingzhong
    CHAOS SOLITONS & FRACTALS, 2023, 173
  • [10] Intermittent Boundary Control for Synchronization of Fractional Delay Neural Networks With Diffusion Terms
    Liu, Xiao-Zhen
    Wu, Kai-Ning
    Ahn, Choon Ki
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2023, 53 (05): : 2900 - 2912