Abstract
This paper focuses on the finite-time synchronization analysis for complex-valued recurrent neural networks with time delays. First, two kinds of common activation functions appearing in the existing references are combined together and more general assumptions are given. To achieve our aim, a nonlinear delayed controller with two independent parameters different from the existing ones is provided, which leads to great difficulty. To overcome it, a newly developed inequality is used. Then, via Lyapunov function approach, some criteria are derived to guarantee the finite-time synchronization of the considered system, and the settling time for synchronization is also estimated. Finally, two numerical simulations are given to support the effectiveness and advantages of the obtained results.
Highlights
In recent years, neural networks have been always very important to researchers in various fields, to name a few, control theory and signal processing in electrical engineering, parallel computation and pattern recognition in computer science, and modeling optimization problems in applied mathematics
This paper focuses on the finite-time synchronization analysis for complex-valued recurrent neural networks with time delays
As everyone knows, most applications rely heavily on the dynamical behavior of recurrent neural networks. This sets off a research upsurge for the dynamics of neural networks
Summary
Neural networks have been always very important to researchers in various fields, to name a few, control theory and signal processing in electrical engineering, parallel computation and pattern recognition in computer science, and modeling optimization problems in applied mathematics. For finite-time stability analysis of delayed complex-valued neural networks models, until now, few results have been developed. In view of the unavoidability of time delays [53,54,55], the finite-time synchronization problem for complex-valued recurrent neural networks with time delays is presented. The main contributions of our work are embodied in several points: (1) A nonlinear delayed controller with independent parameters μ1 and μ2 different from the most existing results is designed to achieve the finite-time synchronization of the considered system.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
