Input-to-State Stability of Stochastic Memristive Neural Networks with Time-Varying Delay

Abstract EN

This paper is concerned with the input-to-state stability problem of a classof memristive neural networks.

We consider the neural networks that take into accountboth the stochastic effects and time-varying delay, and introduce the notions of meansquareexponential input-to-state stability.

Using the stochastic analysis theory and Itôformula for stochastic differential equations, we establish sufficient conditions for bothmean-square exponential input-to-state stability and mean-square exponential stability.

Numerical simulations are also provided to demonstrate the theoretical results.