Abstract
In this paper, we consider an optimization problem for sampled-data control systems in the sense of the L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> 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 H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> optimization problem for sampled-data systems when γ tends to infinity.
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