Xuerong Mao (毛学荣)，英国Strathclyde大学数学与统计系教授，苏格兰皇家学会院士，教育部海外名师，教育部长江讲座教授，东华大学兼职特聘教授
In 2017, Fei, Hu, Mao and Shen were the first to establish delay dependent criteria for highly nonlinear hybrid stochastic differential delay equations (SDDEs) (by highly nonlinear we mean the coefficients of the SDDEs do not have to satisfy the linear growth condition). This is an important breakthrough in the stability study as all existing delay stability criteria before could only be applied to delay equations where their coefficients are either linear or nonlinear but bounded by linear functions (namely, satisfy the linear growth condition). In this continuation, we will point out one restrictive condition imposed in our earlier paper Fei et al (2017). We will then develop our ideas and methods there in order to remove this restrictive condition so that our improved results cover a much wider class of hybrid SDDEs.