Passivity analysis of neural networks with two different Markovian jumping parameters and mixed time delays.

Journal: ISA transactions
Published Date: Apr 20, 2017

Abstract

This paper studies the problem of passivity analysis for neural networks with two different Markovian jumping parameters and mixed time delays utilizing some integral inequalities. The integral inequalities produce sharper bounds than what the Jensen's inequality produces, consequently, better results are obtained. The Markovian jumping parameters in connection weight matrices and discrete delay are assumed to be different in the system model. By constructing a new appropriate Lyapunov-Krasovskii functional (LKF), some sufficient conditions are established which guarantee the passivity of the proposed model. Numerical examples are given to show the less conservatism and effectiveness of the proposed method.

Authors

  • Jiaojiao Ren
    School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, PR China; Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1. Electronic address: jiaojiaoren06@163.com.
  • Xinzhi Liu
    Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1. Electronic address: xzliu@uwaterloo.ca.
  • Hong Zhu
    Co-Innovation Center for the Sustainable Forestry in Southern China; Cerasus Research Center; College of Biology and the Environment, Nanjing Forestry University, Nanjing, China.
  • Shouming Zhong
    School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China; Key Laboratory for Neuroinformation of Ministry of Education, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China.

Keywords

External Resources

Popular Topics
Recent Journals