Title :
Existence and Uniform Stability Analysis of Fractional-Order Complex-Valued Neural Networks With Time Delays
Author :
Rakkiyappan, R. ; Jinde Cao ; Velmurugan, G.
Author_Institution :
Dept. of Math., Bharathiar Univ., Coimbatore, India
Abstract :
This paper deals with the problem of existence and uniform stability analysis of fractional-order complex-valued neural networks with constant time delays. Complex-valued recurrent neural networks is an extension of real-valued recurrent neural networks that includes complex-valued states, connection weights, or activation functions. This paper explains sufficient condition for the existence and uniform stability analysis of such networks. Three numerical simulations are delineated to substantiate the effectiveness of the theoretical results.
Keywords :
delays; recurrent neural nets; stability; transfer functions; activation functions; complex-valued recurrent neural networks; fractional-order complex-valued neural networks; real-valued recurrent neural networks; sufficient condition; time delays; uniform stability analysis; Artificial neural networks; Biological neural networks; Delay effects; Mathematics; Recurrent neural networks; Stability analysis; Banach contraction fixed point theorem; complex-valued neural networks; fractional order; time delays; time delays.;
Journal_Title :
Neural Networks and Learning Systems, IEEE Transactions on
DOI :
10.1109/TNNLS.2014.2311099