Abstract

This study investigated the problem of robust finite-time stability (FTS) in uncertain genetic regulatory networks (GRNs) affected by delays that vary over time. The proposed work introduced new criteria for evaluating robust FTS, which accounted for parametric uncertainties, discrete interval time-varying delays, and distributed time-varying delays. These criteria were developed using the approach of selecting the appropriate Lyapunov–Krasovskii functionals (LKFs). The analysis considered cases where the time-varying delays were continuous and nondifferentiable. To enhance the robustness of the results, integral inequalities based on auxiliary functions were employed, along with convex and reciprocally convex techniques. The findings provided the FTS criteria for GRNs with delays that vary over time under uncertainties in the form of linear matrix inequalities (LMIs). Numerical examples illustrated the effectiveness of the proposed framework, validated the theoretical results, and enabled comparison with existing approaches. The results thus demonstrated the advantages of the developed criteria over previous methods.