Does star norm capture l/sub 1/ norm?

摘要

This paper pertains to the results obtained in Nagpal et al. (1994) where the authors present a norm, which they call the "*-norm", and conclude that minimizing the star norm results in good peak to peak disturbance rejection. The problem they treat reduces to solving a set of parameter dependent LMIs for standard synthesis problems in control and estimation. In this paper, the authors show using examples that minimizing the star norm does not necessarily imply good peak to peak disturbance rejection.