Input-to-State Stability for Stochastic Delay Neural Networks with Markovian Switching

摘要

In this paper, some problems on the input-to-state stability, integral input-to-state stability, and stochastic input-to-state stability of stochastic non-autonomous neural networks with time-varying delay and Markovian switching are investigated. By using the generalized integral inequality, the Lyapunov function approach and the stochastic analysis theory, the input-to-state stability, integral input-to-state stability, and stochastic input-to-state stability for such neural networks are discussed when the time-varying delay is a bounded function. The integral input-to-state stability and stochastic input-to-state stability are also implied. One example is given to illustrate the derived theoretical result.