The paper investigates the problem of H∞ control for a class of time-delayed linear parameter varying repetitive
processes. Sufficient conditions for the analysis of stability and the existence of the controller are proposed, which are
established in terms of the parameter-dependent Lyapunov functions. By using the projection lemma and with the help of
two slack matrices, the parameter-dependent Lyapunov functions matrices and the repetitive processes matrices are decoupled
so that the problem is solved. A numerical example illustrates the effectiveness of the proposed design scheme.