脉冲控制下变系数时变时滞模糊细胞神经网络的同步
Synchronization of Fuzzy Cellular Neural Networks with Variable Coefficients and Time Delays under Impulse Control
DOI: 10.12677/PM.2021.118174, PDF, HTML,    国家自然科学基金支持
作者: 张松环*, 刘 阳：上海师范大学，数理学院，上海
关键词: 模糊细胞神经网络；脉冲控制；同步；时变时滞；变系数；Fuzzy Cellular Networks； Impulsive Control； Synchronization； Time-Varying； Variable Coefficients
摘要: 通过设计脉冲控制, 研究了变系数时变时滞模糊细胞神经网络的同步问题。 采用Lyapunov泛函方法和矩阵不等式方法，给出了保证系统同步的线性矩阵不等式条件。 同时, 给出了指数同步条件和未知参数的渐近行为。 最后, 通过仿真实例验证了该方法的有效性。
Abstract: This paper investigates the synchronization of fuzzy cellular neural networks with variable coefficients and time-varying delay by designing a impulsive control. By taking Lyapunov functional method and the matrix inequality method, the linear matrix inequality conditions are given to ensure the synchronization of the system. Meanwhile, exponential synchronization conditions and asymptotic behavior of unknown parameters are derived. Finally, a simulation example is given to verify the effectiveness of the proposed method.
文章引用：张松环, 刘阳. 脉冲控制下变系数时变时滞模糊细胞神经网络的同步[J]. 理论数学, 2021, 11(8): 1559-1569. https://doi.org/10.12677/PM.2021.118174

参考文献

[1] Chua, L. and Yang, L. (1988) Cellular Neural Networks: Theory. IEEE Transactions Circuits and Systems, 35, 1257-1272.
https://doi.org/10.1109/31.7600
[2] Yang, T. and Yang, L. (1996) The Global Stability of Fuzzy Cellular Neural Network. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 43, 880-883.
https://doi.org/10.1109/81.538999
[3] Ding, W. and Han, M. (2008) Synchronization of Fuzzy Cellular Neural Networks Based on Adaptive Control. Physics Letters A, 372, 4674-4681.
https://doi.org/10.1016/j.physleta.2008.04.053
[4] Wang, L., Ding, W. and Chen, D. (2010) Synchronization Schemes of a Class of Fuzzy Cellular Neural Networks Based on Adaptive Control. Physics Letters A, 374, 1440-1449.
https://doi.org/10.1016/j.physleta.2010.01.029
[5] Ding, W. (2009) Synchronization of Delayed Fuzzy Cellular Neural Networks with Impulsive Effects. Communications in Nonlinear Science and Numerical Simulation, 14, 3945-3952.
https://doi.org/10.1016/j.cnsns.2009.02.013
[6] Ding, W., Han, M. and Li, M. (2009) Exponential Lag Synchronization of Delayed Fuzzy Cellular Neural Networks with Impulses. Physics Letters A, 373, 832-837.
https://doi.org/10.1016/j.physleta.2008.12.049
[7] Feng, X., Zhang, F. and Wang, W. (2011) Global Exponential Synchronization of Delayed Fuzzy Cellular Neural Networks with Impulsive Effects. Chaos, Solitons and Fractals, 44, 9-16.
https://doi.org/10.1016/j.chaos.2010.10.003
[8] Pu, H., Liu, Y., Jiang, H. and Hu, C. (2015) Exponential Synchronization for Fuzzy Cellu- lar Neural Networks with Time-Varying Delays and Nonlinear Impulsive Effects. Cognitive Neurodynamics, 9, 437-446.
https://doi.org/10.1007/s11571-015-9335-3

为你推荐