Stability of Hybrid Stochastic Retarded Systems

Lirong Huang, Xuerong Mao, Feiqi Deng
2008 IEEE Transactions on Circuits and Systems Part 1: Regular Papers  
In the past few years, hybrid stochastic retarded systems (also known as stochastic retarded systems with Markovian switching), including hybrid stochastic delay systems, have been intensively studied. Among the key results, Mao et al. proposed the Razumikhin-type theorem on exponential stability of stochastic functional differential equations with Markovian switching and its application to hybrid stochastic delay interval systems. However, the importance of general asymptotic stability has not
more » ... been considered. This paper is to study Razumikhin-type theorems on general -th moment asymptotic stability of hybrid stochastic retarded systems. The proposed theorems apply to complex systems including some cases when the existing results cannot be used.
doi:10.1109/tcsi.2008.2001825 fatcat:v4b7lvbbynexhb3ncu5jsaiczu