On Input-to-State Stability of Stochastic Retarded Systems With Markovian Switching

This note develops a Razumikhin-type theorem on
p
th moment input-to-state stability of hybrid stochastic retarded systems (also known as stochastic retarded systems with Markovian switching), which is an improvement of an existing result. An application to hybrid stochastic delay systems verifies the effectiveness of the improved result.