The scaler mixed H-2/l(1) problem for discrete-time systems is considered.
The continuity property of the optimal value with respect to changes in the
l(1) constraint is studied. An upper approximation method and a lower appr
oximation method of the optimal value are given. Suboptimal values and supe
roptimal values of the problem can be obtained by solving a sequence of fin
ite-dimensional quadratic programming problems.