Computational aspect of H/spl infin type optimization problem for sampled-data control systems

In this paper, we consider an optimization problem for sampled-data control systems in the sense of the L₂ induced norm of the linear operator with continuous-time inputs nd outputs. The computation algorithm for the optimization problem with three exponentiations is derived. We also show that the optimization problem is closely related to the H₂ optimization problem for sampled-data systems when γ tends to infinity.