LMI conditions for some dynamical behaviors of fractional-order quaternion-valued neural networks

Neural Networks for Quaternion-valued Function Approximation

In the paper a new structure of Multi-Layer Perceptron, able to deal with quaternion-valued signal, is proposed. A learning algorithm for the proposed Quaternion MLP (QMLP) is also derived. Such a neural network allows to interpolate functions of quaternion variable with a smaller number of connections with respect to the corresponding real valued MLP. INTRODUCTION In the last few years, neural...

Synchronization in Fractional-Order Complex-Valued Delayed Neural Networks

This paper discusses the synchronization of fractional order complex valued neural networks (FOCVNN) at the presence of time delay. Synchronization criterions are achieved through the employment of a linear feedback control and comparison theorem of fractional order linear systems with delay. Feasibility and effectiveness of the proposed system are validated through numerical simulations.

Scaled Conjugate Gradient Learning for Quaternion-Valued Neural Networks

Global Mittag-Leffler projective synchronization for fractional-order neural networks: an LMI-based approach

*Correspondence: [email protected]; [email protected] 1Department of Applied Mathematics, Yanshan University, Qinhuangdao, 066001, China Full list of author information is available at the end of the article Abstract This paper is concerned with the global projective synchronization issue for fractional neural networks in the Mittag-Leffler stability sense. Firstly, a fractional-order differ...

Quaternion Valued Neural Networks and Nonlinear Adaptive Filters

A class of locally analytic transcendental functions suitable for nonlinear adaptive filtering and neural network filtering is proposed. Since the stringent standard analyticity conditions prevent full exploitation of nonlinear quaternionic models, we make use of local analyticity conditions to provide a framework for a generic extension of nonlinear learning algorithms from the real and comple...