Stability analysis of state-dependent impulsive systems via a new two-sided looped functional

• Combine the B-equivalence method with looped-functional approach to analyze the asymptotic stability of state-dependent impulsive systems, widen the applied fields of looped-functional approach. • A two-sided looped functional is constructed. The structure of the looped functional utilizes the information on both the time intervals t k to t and t to t k + 1 and tries to avoid the presence of multiple unknown parameters between decision matrices and the system matrices. • Design a class of state-dependent impulsive controllers to stabilize nonlinear systems including chaotic systems. In this paper, the asymptotic stability of state-dependent impulsive systems is addressed by virtue of looped-functional approach. Firstly, based on B-equivalence method, a fixed-time impulsive comparison system is derived, which is B-equivalent with the original state-dependent impulsive system. Then the asymptotic stability criteria of state-dependent impulsive system are obtained by employing a new two-sided looped functional to analyze the comparison system with fixed-time impulses. The theoretical results are applied to Takagi-Sugeno (T-S) fuzzy impulsive control. The effectiveness of the proposed results is verified by two numerical examples.