Abstract
In this paper, fixed-time (FXT) synchronization issue of a type of neural networks (NNs) with stochastic perturbations is considered. First, we obtained some novel sufficient criteria to guarantee the FXT synchronization of considered networks via introducing two types of controllers and employing some inequality techniques. Lastly, our theoretical results are verified via giving two numerical examples with their Matlab simulations.
Highlights
Open AccessIn the last decades, the various types of neural networks (NNs) including Hopfield NNs, cellular NNs, convolution NNs, Cohen-Grossberg NNs, BAM NNs and so on [1] [2] [3], have been introduced and broadly investigated due to their important applications in great number of fields ranging from speech recognition [4] to image encryption [5], from secure communication [6] to robotic manipulators [7], etc
We introduce the following lemmas about FXT stability
Based on the FXT stability results introduced in above section, we will derive some sufficient criteria for the FXT synchronization between the drive-response systems (1) and (2)
Summary
The various types of neural networks (NNs) including Hopfield NNs, cellular NNs, convolution NNs, Cohen-Grossberg NNs, BAM NNs and so on [1] [2] [3], have been introduced and broadly investigated due to their important applications in great number of fields ranging from speech recognition [4] to image encryption [5], from secure communication [6] to robotic manipulators [7], etc. In some cases, it is inconvenient to accurately estimate it due to its heavily dependence to the initial values of the system It is to better obtain FNT stability with a ST irreverent to initial conditions of the system. This issue was firstly studied by Polyakov [15] via defining a so-called fixed-time (FXT) stability which its ST is independent to systems initial conditions. In [9], the authors investigated the FXT synchronization of coupled discontinuous NNs by introducing new FXT stability results for dynamical systems. In [26], the authors studied the FNT synchronization of a type of complex-valued NNs with distributed delays. Recently many scholars paid their attention to study the synchronization of NNs with stochastic perturba-
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.
