IEEE Transactions on Automatic Control, Vol.54, No.8, 1898-1902, 2009
On Input-to-State Stability of Stochastic Retarded Systems With Markovian Switching
This note develops a Razumikhin-type theorem on pth 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.
Keywords:Input-to-state stability (ISS);Markov chain;Razumikhin-type theorems;stochastic systems;time delay