Performance of the preview control is investigated in terms of H-infinity-criterion. In the infinite-horizon time setting, the limitation of H-infinity performance in preview control action is characterized with the Hamiltonian matrix. By employing the property of Hamiltonian matrix, the solvability and analytic solution for the preview full-information control problem are clarified based on an auxiliary introduced matrix Riccati equation. The property of resulting control law is illustrated with a numerical example. (C) 2003 Elsevier Science Ltd. All rights reserved.