Journal ArticleDOI
Global µ-stability criteria for quaternion-valued neural networks with unbounded time-varying delays
Reads0
Chats0
TLDR
This paper first proposes quaternion-valued neural networks (QVNNs) with unbounded time-varying delays with sufficient conditions on the global µ-stability in the form of both complex-valued and real-valued linear matrix inequalities (LMIs).About:
This article is published in Information Sciences.The article was published on 2016-09-10. It has received 163 citations till now. The article focuses on the topics: Quaternion & Hermitian matrix.read more
Citations
More filters
Journal ArticleDOI
Hopf bifurcation analysis of a complex-valued neural network model with discrete and distributed delays
TL;DR: The problem of Hopf bifurcation in the newly-proposed complex-valued neural network model is investigated under the assumption that the activation function can be separated into its real and imaginary parts.
Journal ArticleDOI
Multistability Analysis of Quaternion-Valued Neural Networks With Time Delays
Qiankun Song,Xiaofeng Chen +1 more
TL;DR: By using the inequality technique, sufficient conditions are proposed for the boundedness and the global attractivity of delayed QVNNs and based on the geometrical properties of the activation functions, several criteria are obtained to ensure the existence of equilibrium points.
Journal ArticleDOI
Stability Analysis of Quaternion-Valued Neural Networks: Decomposition and Direct Approaches
TL;DR: The global stability of quaternion-valued neural networks (QVNNs) with time-varying delays is investigated directly by the techniques of the Lyapunov-Krasovskii functional and the linear matrix inequality (LMI) whereQuaternion self-conjugate matrices and quaternions positive definite matrices are used.
Journal ArticleDOI
Robust stability analysis of quaternion-valued neural networks with time delays and parameter uncertainties.
TL;DR: Several sufficient conditions are obtained for checking the global robust stability of QVNNs without leakage delay as well as complex-valued neural networks (CVNNs) with both leakage and discrete delays.
Journal ArticleDOI
Global exponential stability for quaternion-valued recurrent neural networks with time-varying delays
TL;DR: In this paper, the global exponential stability of quaternion-valued recurrent neural networks (QVNNs) with time-varying delays is investigated, where the activation functions are not assumed to be derivative any more, making the analytical procedure compact.
References
More filters
Journal ArticleDOI
Animating rotation with quaternion curves
TL;DR: A new kind of spline curve is presented, created on a sphere, suitable for smoothly in-betweening (i.e. interpolating) sequences of arbitrary rotations, without quirks found in earlier methods.
Journal ArticleDOI
Brief paper: A unified synchronization criterion for impulsive dynamical networks
TL;DR: A unified synchronization criterion is derived for directed impulsive dynamical networks by proposing a concept named ''average impulsive interval'' which is theoretically and numerically proved to be less conservative than existing results.
Journal ArticleDOI
Hypercomplex Fourier Transforms of Color Images
Todd A. Ell,Stephen J. Sangwine +1 more
TL;DR: Hypercomplex numbers, specifically quaternions, are used to define a Fourier transform applicable to color images, and the properties of the transform are developed, and it is shown that the transform may be computed using two standard complex fast Fourier transforms.
Book
Complex Valued Nonlinear Adaptive Filters: Noncircularity, Widely Linear and Neural Models
TL;DR: In this paper, a unified treatment of linear and nonlinear complex valued adaptive filters, and methods for the processing of general complex signals (circular and noncircular) is presented.
Journal ArticleDOI
Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays
TL;DR: It is shown that the addressed stochastic Cohen-Grossberg neural networks with mixed delays are globally asymptotically stable in the mean square if two LMIs are feasible, where the feasibility of LMIs can be readily checked by the Matlab LMI toolbox.