Analysis on structured stability of highly nonlinear pantograph stochastic differential equations

摘要

This paper investigates the structured stability and boundedness of highly nonlinear hybrid pantograph stochastic differential equations (PSDEs). The main contribution of this paper is to take the different structures into account to establish the structured robust stability and boundedness for highly nonlinear hybrid PSDEs. The theory established in this paper is applicable to hybrid PSDEs which may experience abrupt changes in both structures and parameters.