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I the paper, the problem of H∞ filtering for a class of linear uncertai systems is studied. The parameter uncertainties are assumed to reside in a polytope. The paper is focused o the desig of a parameter-dependent filter hich guarantees the filtering error system to be asymptotically stable and has a prescribed H∞ performance. By employing a parameter-dependent Lyapunov functio approach, sufficient conditions are established for the existence of the desired filters i terms of linear matrix inequalities, hich ca be handled easily by using the available toolbox. Both continuous- and discrete-time cases are investigated. It is sho n, via a numerical example, that the proposed filter desig methods are more effective and less conservative tha some existing results.