{"paper":{"title":"A case of mu-synthesis as a quadratic semidefinite program","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Jim Agler, N. J. Young, Z. A. Lykova","submitted_at":"2013-03-21T17:39:03Z","abstract_excerpt":"We analyse a special case of the robust stabilization problem under structured uncertainty. We obtain a new criterion for the solvability of the spectral Nevanlinna-Pick problem, which is a special case of the $\\mu$-synthesis problem of $H^\\infty$ control in which $\\mu$ is the spectral radius. Given $n$ distinct points $\\la_1,\\dots,\\la_n$ in the unit disc and $2\\times 2$ nonscalar complex matrices $W_1,\\dots,W_n$, the problem is to determine whether there is an analytic $2\\times 2$ matrix function $F$ on the disc such that $F(\\la_j)=W_j$ for each $j$ and the supremum of the spectral radius of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5342","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}