Upper bounds of structured singular values for mixed uncertainties

Abstract

Upper bounds of structured singular values for mixed uncertainties whose computations are efficient and reliable have been available. For uncertainties without real blocks and repeated complex scalar blocks, existing upper bounds are known to be quite tight. On the other hand, when the block structures of uncertainties include purely real or repeated complex block, tightness can be arbitrarily degraded.Here, improved upper bounds for mixed uncertainties with purely real uncertainties are proposed.