Preassigned-time synchronization for complex-valued memristive neural networks with reaction-diffusion terms and Markov parameters.

Neural Netw

Department of Computer Science, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

Published: January 2024


Category Ranking

98%

Total Visits

921

Avg Visit Duration

2 minutes

Citations

20

Article Abstract

This study addresses the preassigned-time synchronization for complex-valued memristive neural networks with reaction-diffusion terms and Markov parameters. Employing a preassigned-time stable control strategy, two distinct controllers with varying power exponent parameters are designed to ensure that synchronization can be achieved within a predefined time frame. Unlike existing finite/fixed-time results, a priori specification of the settling time is addressed. Furthermore, Green's formula and boundary conditions are efficiently applied to overcome potential symmetry loss. Additionally, the activation function's constraint range is more lenient compared to existing constraints. Finally, the effectiveness of the presented methods are demonstrated through two examples.

Download full-text PDF

Source
http://dx.doi.org/10.1016/j.neunet.2023.11.011DOI Listing

Publication Analysis

Top Keywords

preassigned-time synchronization
8
synchronization complex-valued
8
complex-valued memristive
8
memristive neural
8
neural networks
8
networks reaction-diffusion
8
reaction-diffusion terms
8
terms markov
8
markov parameters
8
parameters study
4

Similar Publications

Finite-time synchronization is a crucial phenomenon observed in nonlinear complex systems, the settling time in such a dynamic phenomenon is heavily depends on the initial states which may be unaccessible beforehand in the real world. Eliminating the dependence of the settling time on initial states leads to major advantage and convenience in practical applications. This paper is concerned with the fixed-/preassigned-time synchronization of delayed complex-valued neural networks(CVNNs) with discontinuous activations.

View Article and Find Full Text PDF

Preassigned-time synchronization for complex-valued memristive neural networks with reaction-diffusion terms and Markov parameters.

Neural Netw

January 2024

Department of Computer Science, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

This study addresses the preassigned-time synchronization for complex-valued memristive neural networks with reaction-diffusion terms and Markov parameters. Employing a preassigned-time stable control strategy, two distinct controllers with varying power exponent parameters are designed to ensure that synchronization can be achieved within a predefined time frame. Unlike existing finite/fixed-time results, a priori specification of the settling time is addressed.

View Article and Find Full Text PDF

This paper concerns with the preassigned-time projective synchronization issue for delayed fully quaternion-valued discontinuous neural networks involving parameter uncertainties through the non-separation method. Above all, based on the existing works, a new preassigned-time stability theorem is established. Subsequently, to realize the control goals, two types of novel and simple chattering-free quaternion controllers are designed, one without the power-law term and the other with a hyperbolic-tangent function.

View Article and Find Full Text PDF

This paper is devoted to analyzing Fixed/Preassigned-time synchronization of T-S fuzzy complex networks (TSFCNs) with stochastic effects. Unlike the existing results, partial information communication and complete information communication are all considered according to a Bernoulli distribution. Furthermore, different controllers with quantization are structured to realize our synchronization goal, and one of control parameters can switch based on the error information.

View Article and Find Full Text PDF

This paper is concentrated on the fixed/preassigned-time (FXT/PAT) synchronization of multilayered networks, in which the self-dynamics of nodes are heterogeneous and the synchronized state can be an arbitrary prescribed smooth orbit. Above all, the original network is augmented by involving the synchronized state as a virtual node, it is allowed to remove the topological connectivity limitations and reduce the conservatism of the synchronization conditions. Subsequently, several continuous control protocols have been developed to achieve FXT synchronization and some effective criteria are established by utilizing the theorem of FXT stability.

View Article and Find Full Text PDF