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Under the weaker condition on the system non-linearities, this study investigates the problem of global stabilisation by state feedback for a class of high-order non-linear systems with time-varying delays. By using the method of adding a power integrator, a continuous state-feedback controller is successfully designed, and the global asymptotic stability of the resulting closed-loop system is proven with the help of an appropriate Lyapunov–Krasovskii functional. Two simulation examples are given to illustrate the effectiveness of the proposed approach.
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