{"paper":{"title":"On mean-square boundedness of stochastic linear systems with quantized observations","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Debasish Chatterjee, Federico Ramponi, John Lygeros, Peter Hokayem","submitted_at":"2011-03-25T12:34:14Z","abstract_excerpt":"We propose a procedure to design a state-quantizer with finitely many bins for a marginally stable stochastic linear system evolving in $\\R^d$, and a bounded policy based on the resulting quantized state measurements to ensure bounded second moment in closed-loop."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4959","kind":"arxiv","version":2},"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"}