The stability analysis of abstract Takagi–Sugeno fuzzy impulsive system

In this paper based on the comparison method the sufficient conditions of stability in terms of the two measures of abstract locally-linear impulsive differential equation with unbounded operator coefficients (an abstract Takagi–Sugeno fuzzy impulsive system) have been derived. As an application of the obtained results the locally-linear impulsive system (hybrid T–S fuzzy system) has been considered. An example of impulsive nonperiodic finite-dimension T–S fuzzy system with unstable structural matrices was constructed. It is shown that zero solution of such T–S fuzzy system could be asymptotically stable in cone. The simulations results of example demonstrate the effectiveness of proposed approach.