In this paper, the property of practical input-to-state stability and its application to stability of cascaded nonlinear systems are investigated in the stochastic framework. Firstly, the notion of (practical) stochastic input-to-state stability with respect to a stochastic input is introduced, and then by the method of changing supply functions, (a) an (practical) SISS-Lyapunov function for the overall system is obtained from the corresponding Lyapunov functions for cascaded (practical) SISS subsystems.
- SISS-Lyapunov function
- Stochastic input-to-state stability (SISS)
- Stochastic nonlinear systems
ASJC Scopus subject areas
- Applied Mathematics