Global Dissipativity of Quaternion-Valued Fuzzy Cellular Fractional-Order Neural Networks With Time Delays

This article deals with the global dissipativity of Quaternion-Valued Fuzzy Cellular Fractional-Order Neural Networks (QVFCFONNs). The model is solved by separating it into four real-valued parts, forming an equivalent real system according to Hamilton's multiplication rules. Our approach is mainly based on the Lyapunov functionals, Linear Matrix Inequalities (LMIs) approach and Laplace transformation. New sufficient conditions are derived to ensure the global dissipativity for the considered network model. Furthermore, the global attractive set is obtained which is positive invariant one. A numerical example along with it simulation is given to demonstrate the accuracy and validity of our obtained theoretical results.

Automated summary

This article deals with the global dissipativity of Quaternion-Valued Fuzzy Cellular Fractional-Order Neural Networks (QVFCFONNs). The model is solved by separating it into four real-valued parts and using Lyapunov functionals and Linear Matrix Inequalities (LMIs) approach. New sufficient conditions are derived to ensure the global dissipativity for the considered network model.