Exponential Stabilization of Memristive Neural Networks With Time Delays

被引：276
作者：
Wu, Ailong [1 ,2 ]
Zeng, Zhigang [1 ,2 ]
机构：
[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China
[2] Minist China, Key Lab Image Proc & Intelligent Control Educ, Wuhan 430074, Peoples R China
来源：
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS | 2012年 / 23卷 / 12期
关键词：
Hybrid systems; memristive neural networks; optimal control; stabilization; ROBUST STATE ESTIMATION; VARYING DELAYS; DISCRETE; SYNCHRONIZATION; SYSTEMS;
D O I：
10.1109/TNNLS.2012.2219554
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, a general class of memristive neural networks with time delays is formulated and studied. Some sufficient conditions in terms of linear matrix inequalities are obtained, in order to achieve exponential stabilization. The result can be applied to the closed-loop control of memristive systems. In particular, several succinct criteria are given to ascertain the exponential stabilization of memristive cellular neural networks. In addition, a simplified and effective algorithm is considered for design of the optimal controller. These conditions are the improvement and extension of the existing results in the literature. Two numerical examples are given to illustrate the theoretical results via computer simulations.
引用
收藏
页码：1919 / 1929
页数：11
相关论文
共 38 条
  • [31] Foundations of Implementing the Competitive Layer Model by Lotka-Volterra Recurrent Neural Networks
    Yi, Zhang
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (03): : 494 - 507
  • [32] Permitted and Forbidden Sets in Discrete-Time Linear Threshold Recurrent Neural Networks
    Yi, Zhang
    Zhang, Lei
    Yu, Jiali
    Tan, Kok Kiong
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (06): : 952 - 963
  • [33] Two-stage neural sliding-mode control of magnetic levitation in minimal invasive surgery
    Yu, Wen
    Cruz Francisco, Panuncio
    Li, Xiaoou
    [J]. NEURAL COMPUTING & APPLICATIONS, 2011, 20 (08) : 1141 - 1147
  • [34] AUTOMATED NONLINEAR SYSTEM MODELING WITH MULTIPLE FUZZY NEURAL NETWORKS AND KERNEL SMOOTHING
    Yu, Wen
    Li, Xiaoou
    [J]. INTERNATIONAL JOURNAL OF NEURAL SYSTEMS, 2010, 20 (05) : 429 - 435
  • [35] Multistability of Neural Networks with Time-Varying Delays and Concave-Convex Characteristics
    Zeng, Zhigang
    Zheng, Wei Xing
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2012, 23 (02) : 293 - 305
  • [36] Multistability of Recurrent Neural Networks with Time-varying Delays and the Piecewise Linear Activation Function
    Zeng, Zhigang
    Huang, Tingwen
    Zheng, Wei Xing
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (08): : 1371 - 1377
  • [37] Neural-Network-Based Near-Optimal Control for a Class of Discrete-Time Affine Nonlinear Systems With Control Constraints
    Zhang, Huaguang
    Luo, Yanhong
    Liu, Derong
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (09): : 1490 - 1503
  • [38] Stabilization for Sampled-Data Neural-Network-Based Control Systems
    Zhu, Xun-Lin
    Wang, Youyi
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2011, 41 (01): : 210 - 221
1234