Stationary oscillation for cellular neural networks with time delays and impulses Original Research Article

This paper studies stationary oscillation for a time-varying recurrent cellular neural network with time delays and impulses. In a recent paper, the authors claim that they obtain a criterion of existence, uniqueness, and global exponential stability of periodic solution (i.e. stationary oscillation) for a recurrent cellular neural network with time delays and impulses. We point out that the main result of their paper is incorrect, and present a sufficient condition of stationary oscillation for a time-varying recurrent cellular neural networks with time delays and impulses. An numerical example is given to illustrate the effectiveness of the obtained result.