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

Lirong Huang, Xuerong Mao
2009 IEEE Transactions on Automatic Control  
X. (2009) On input-to-state stability of stochastic retarded systems with Markovian switching. Abstract 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.
doi:10.1109/tac.2009.2022112 fatcat:2mni6az2dvf4fhx3vlvhe7t5fy