Finite‐time stability of nonlinear time‐delay systems with delayed impulses

Abstract This paper investigates the finite‐time stability (FTS) and finite‐time contractive stability (FTCS) of the nonlinear time‐delay system with delayed impulses. By utilizing the Lyapunov–Krasovskii method and impulsive control theory, we derive some sufficient conditions for FTS and FTCS. In addition, we apply the derived theoretical results to chaotic neural networks. Finally, the effectiveness and applicability of the results are demonstrated through an example.