Title
Controller design for finite-time and fixed-time stabilization of fractional-order memristive complex-valued BAM neural networks with uncertain parameters and time-varying delays.
Abstract
In this paper we investigate controller design problem for finite-time and fixed-time stabilization of fractional-order memristive complex-valued BAM neural networks (FMCVBAMNNs) with uncertain parameters and time-varying delays. By using the Lyapunov theory, differential inclusion theory, and fractional calculus theory, finite-time stabilization condition for fractional-order memristive complex-valued BAM neural networks and the upper bound of the settling time for stabilization are obtained. The nonlinear complex-valued activation functions are split into two (real and imaginary) components. Moreover, the settling time of fixed time stabilization, that does not depend upon the initial values, is merely calculated. A novel criterion for guaranteeing the fixed-time stabilization of FMCVBAMNNs is derived. Our control scheme achieves system stabilization within bounded time and has an advantage in convergence rate. Numerical simulations are furnished to demonstrate the effectiveness of the theoretical analysis.
Year
DOI
Venue
2020
10.1016/j.neunet.2020.06.021
Neural Networks
Keywords
DocType
Volume
Fractional-order,Complex-valued BAM neural networks(CVBAMNNs),Memristor,Uncertain parameters,Time-varying delays
Journal
130
Issue
ISSN
Citations 
1
0893-6080
3
PageRank 
References 
Authors
0.38
0
5
Name
Order
Citations
PageRank
Emel Arslan1122.17
G. Narayanan232.41
M. Syed Ali351839.49
Sabri Arik472546.71
Sumit Saroha530.38