Boundedness and global robust stability analysis of delayed complex-valued neural networks with interval parameter uncertainties.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date:

Abstract

In this paper, the boundedness and robust stability for a class of delayed complex-valued neural networks with interval parameter uncertainties are investigated. By using Homomorphic mapping theorem, Lyapunov method and inequality techniques, sufficient condition to guarantee the boundedness of networks and the existence, uniqueness and global robust stability of equilibrium point is derived for the considered uncertain neural networks. The obtained robust stability criterion is expressed in complex-valued LMI, which can be calculated numerically using YALMIP with solver of SDPT3 in MATLAB. An example with simulations is supplied to show the applicability and advantages of the acquired result.

Authors

  • Qiankun Song
    Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, China. Electronic address: qiankunsong@163.com.
  • Qinqin Yu
    School of Economic and Management, Chongqing Jiaotong University, Chongqing 400074, China. Electronic address: qinqinyucq@163.com.
  • Zhenjiang Zhao
    Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China. Electronic address: zhaozjcn@163.com.
  • Yurong Liu
    Department of Mathematics, Yangzhou University, Yangzhou 225002, China; Communication Systems and Networks (CSN) Research Group, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia. Electronic address: liuyurong@gmail.com.
  • Fuad E Alsaadi
    Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia.