Neural Processing Letters

, Volume 41, Issue 3, pp 435–468

Complete Stability Analysis of Complex-Valued Neural Networks with Time Delays and Impulses

Article

DOI: 10.1007/s11063-014-9349-6

Cite this article as:
Rakkiyappan, R., Velmurugan, G. & Li, X. Neural Process Lett (2015) 41: 435. doi:10.1007/s11063-014-9349-6

Abstract

In this paper, we extensively study the analysis of complete stability of complex-valued neural networks with time delay and impulsive effects. Using stability theory, impulsive effects and by constructing appropriate Lyapunov–Krasovskii functional, some sufficient conditions for the existence and complete stability of complex-valued neural networks with time delay and impulsive effects are derived in the form of complex-valued linear matrix inequality (LMIs) as well as real-valued LMIs. Finally, four numerical examples are given to establish the effectiveness of our theoretical results via standard numerical software.

Keywords

Complex-valued neural networksImpulsive effectsTime delaysMultistabilityLinear matrix inequality (LMI)

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Department of MathematicsBharathiar UniversityCoimbatore India
  2. 2.School of Mathematical SciencesShandong Normal UniversityJinan People’s Republic of China