Abstract
This paper addresses the problem of the global state feedback stabilization for a class of lower-triangular nonlinear systems whose states and input are perturbed by time-delay simultaneously. Quite different from upper-triangular systems, the presence of delayed input leads to the serious dependency of the stabilizer upon the size of the delays and the failed compensation of delayed states in such situation. The remarkable feature of the proposed method lies in the fact that it makes possible to achieve the stabilizing controller with the help of a simple inductive design and an integral Lyapunov function. Finally, theoretical results are illustrated and supported by the simulation.
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