{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:N56HMML66SZ3PTVMDNLS6HBVRV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f406514b4e5a671d1a5d9fe6b20b5a705f933d61633c8bca888d2ae3b9abe5c5","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2019-03-26T08:12:27Z","title_canon_sha256":"4aee46ebe7f882f108aa1459896986dec912cc058923a03b658b827fffbe430a"},"schema_version":"1.0","source":{"id":"1903.10723","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.10723","created_at":"2026-06-04T20:14:17Z"},{"alias_kind":"arxiv_version","alias_value":"1903.10723v4","created_at":"2026-06-04T20:14:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.10723","created_at":"2026-06-04T20:14:17Z"},{"alias_kind":"pith_short_12","alias_value":"N56HMML66SZ3","created_at":"2026-06-04T20:14:17Z"},{"alias_kind":"pith_short_16","alias_value":"N56HMML66SZ3PTVM","created_at":"2026-06-04T20:14:17Z"},{"alias_kind":"pith_short_8","alias_value":"N56HMML6","created_at":"2026-06-04T20:14:17Z"}],"graph_snapshots":[{"event_id":"sha256:e6bb3207d5920005fb8ad97f5b64ca30d9d788add8c57575e242a08fc9610de7","target":"graph","created_at":"2026-06-04T20:14:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1903.10723/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The vector space of all input-output trajectories of a discrete-time linear time-invariant (LTI) system is spanned by time-shifts of a single measured trajectory, given that the respective input signal is persistently exciting. This fact, which was proven in the behavioral control framework, shows that a single measured trajectory can capture the full behavior of an LTI system and might therefore be used directly for system analysis and controller design, without explicitly identifying a model. In this paper, we translate the result from the behavioral context to the classical state-space cont","authors_text":"Frank Allg\\\"ower, Julian Berberich","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2019-03-26T08:12:27Z","title":"A trajectory-based framework for data-driven system analysis and control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.10723","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:54013ae7f95adfbe2fccf0ddf5b2f11720e16fbb3cf27f0659e63577055c2a89","target":"record","created_at":"2026-06-04T20:14:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f406514b4e5a671d1a5d9fe6b20b5a705f933d61633c8bca888d2ae3b9abe5c5","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2019-03-26T08:12:27Z","title_canon_sha256":"4aee46ebe7f882f108aa1459896986dec912cc058923a03b658b827fffbe430a"},"schema_version":"1.0","source":{"id":"1903.10723","kind":"arxiv","version":4}},"canonical_sha256":"6f7c76317ef4b3b7ceac1b572f1c358d5f472a7c53cdfd0172f977244fe8117c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f7c76317ef4b3b7ceac1b572f1c358d5f472a7c53cdfd0172f977244fe8117c","first_computed_at":"2026-06-04T20:14:17.711297Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T20:14:17.711297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tx8nNczj+MXVQNEhEeSTuJhxii9vWoVlPJwMfhiLCodH6tBTxT8X8cDIvrhbXL87dq2GNFv+KOukKiKBYCC+DQ==","signature_status":"signed_v1","signed_at":"2026-06-04T20:14:17.711906Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.10723","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54013ae7f95adfbe2fccf0ddf5b2f11720e16fbb3cf27f0659e63577055c2a89","sha256:e6bb3207d5920005fb8ad97f5b64ca30d9d788add8c57575e242a08fc9610de7"],"state_sha256":"47edd0e343abd56437084591fb1cecf6e7d09ae805fe33424769a66647c2cafd"}