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The paper deals with the stabilization problem of Lur’e-type nonlinear indirect control systems with time-delay argument. The sufficient conditions for absolute stability of the control system are established in the form of matrix algebraic inequalities and are obtained by the direct Lyapunov method. MSC:34H15, 34K20, 93C10, 93D05.

Stabilization of Lur’e-type nonlinear control systems by Lyapunov-Krasovskii functionals