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In this paper, fixed-orderl1-control for systems with time-delay is studied, and sufficient conditions for solvability of state-feedback l1-control and dynamic output-feedback l1-control are obtained. This paper also gives the forms of solution tol1-controller. In the paper, the problem is not cast into infinite dimensional constrained convex optimal problem, but an upper bound of l1-norm is optimized. Although thel1-control is sub-optimal, the analysis and design are simple.The result of the paper improves and develops thel1-control method.