Some new results on stability and input to state stability of fuzzy differential equations

Abstract In this paper, we introduce a new notion of stability, namely generalized practical h −stability. Both generalized practical h −stability and generalized input-to-state practical h −stability are considered. Under Lyapunov techniques, some sufficient conditions are given which guarantee generalized practical h −stability of fuzzy differential equations. The generalized practical h −stability analysis is also accomplished with the help of the scalar h −stable functions.