Lyapunov approach to manifolds stability for impulsive Cohen-Grossberg-type conformable neural network models

Math Biosci Eng. 2023 Jul 24;20(8):15431-15455. doi: 10.3934/mbe.2023689.


In this paper, motivated by the advantages of the generalized conformable derivatives, an impulsive conformable Cohen-Grossberg-type neural network model is introduced. The impulses, which can be also considered as a control strategy, are at fixed instants of time. We define the notion of practical stability with respect to manifolds. A Lyapunov-based analysis is conducted, and new criteria are proposed. The case of bidirectional associative memory (BAM) network model is also investigated. Examples are given to demonstrate the effectiveness of the established results.

Keywords: Cohen–Grossberg neural networks; conformable derivative; impulses; manifolds; practical stability.