General stability for a Cohen–Grossberg neural network system

Arabian Journal of Mathematics - Trang 1-15 - 2023
Mohammed D. Kassim1, Nasser-Eddine Tatar2
1Department of Basic Engineering Sciences, College of Engineering, Imam Abdulrahman Bin Faisal University, Dammam, Saudi Arabia
2Department of Mathematics, Interdisciplinary Research, Center for Intelligent Manufacturing and Robotics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

Tóm tắt

Of concern is a Cohen–Grossberg neural network (CGNNs) system taking into account distributed and discrete delays. The class of delay kernels ensuring exponential stability existing in the previous papers is enlarged to an extended class of functions guaranteeing more general types of stability. The exponential and polynomial (or power type) type stabilities becomes particular cases of our result. This is achieved using appropriate Lyapunov-type functionals and the characteristics of the considered class.

Tài liệu tham khảo

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