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Neural Processing Letters

, Volume 46, Issue 2, pp 561–580 | Cite as

Finite-time Stability of Fractional-order Complex-valued Neural Networks with Time Delays

  • Xiaoshuai Ding
  • Jinde CaoEmail author
  • Xuan Zhao
  • Fuad E. Alsaadi
Article

Abstract

The analysis of finite-time stability for a class of fractional-order complex valued neural networks with delays is considered in this paper. Utilizing Gronwall inequality, Cauchy-Schiwartz inequality and inequality scaling techniques, some sufficient conditions for guaranteeing the finite-time stability of the system are derived respectively under two cases with order \(1/2\le \alpha < 1\) and \(0<\alpha <1/2\), in which different inequality scaling strategies are employed. Two numerical examples are also proposed to demonstrate the validity and feasibility of the obtained results.

Keywords

Fractional-order complex-valued neural network Finite-time stability Time-delays Gronwall inequality 

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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.School of Mathematics, and Research Center for Complex Systems and Network SciencesSoutheast UniversityNanjingChina
  2. 2.School of EducationXizang Minzu UniversityXianyangChina
  3. 3.Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia
  4. 4.Department of Electrical and Computer Engineering, Faculty of EngineeringKing Abdulaziz UniversityJeddahSaudi Arabia

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