Advances in Difference Equations (May 2019)

Parameter-range-dependent robust stability conditions for quaternion-valued neural networks with time delays

  • Xiaodong Wang,
  • Jielin Zhou,
  • Xiaofeng Chen,
  • Yuanshun Tan

DOI
https://doi.org/10.1186/s13662-019-2046-z
Journal volume & issue
Vol. 2019, no. 1
pp. 1 – 25

Abstract

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Abstract In this paper, a model of discrete delayed quaternion-valued neural networks with interval parameter uncertainties is considered. Some sufficient conditions for the existence, uniqueness and globally robust stability of the equilibrium point are obtained. The approach is on the basis of the homeomorphic mapping method, the Lyapunov stability theorem and inequality techniques. Finally, a numerical example is given to demonstrate the application of the obtained results.

Keywords