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This research demonstrates finite-time contractive stability in nonlinear time-delay systems, highlighting stability conditions using Lyapunov methods.
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.
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Li et al. (2025) studied this question.
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