Finite‐time boundedness and stabilisation for a class of non‐linear quadratic time‐delay systems with disturbances

Abstract

The problems of finite‐time boundedness (FTB) and stabilisation for a class of non‐linear quadratic time‐delay systems with exogenous disturbances are investigated in this study. Based on the quadratic Lyapunov function, Razumikhin‐type techniques, and a particular presentation for the quadratic terms, sufficient conditions for FTB and stabilisation for quadratic systems with exogenous disturbances are derived in terms of linear matrix inequalities. Simulation examples are given to verify the effectiveness of the methodology proposed in this study.