Also the Transposed Mixed Sensitivity l(1) -Minimization Problem Has a Rational Solution

摘要

In a previous paper, the author showed that a mixed sensitivity minimization problem has a rational l sup 1-optimal solution, and computed this solution. Here the author applies the same approach to the corresponding transposed problem. This transposed problem can be interpreted as the problem where one tries to minimize the l sup 1-norm of the output compared to the l sup 1-norm of the input; the problem studied in that other paper deals with the minimization of the maximal value of the output compared to the maximal value of the input. (The H (sup infinity symbol)-theory treats the minimization of the l sup 2-norm, i.e., the energy, of the output compared to the l sup 2-norm of the input.)