{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:LIPCJMM7YEEAI5EUBWV23ZHQW5","short_pith_number":"pith:LIPCJMM7","schema_version":"1.0","canonical_sha256":"5a1e24b19fc1080474940dabade4f0b76f61fbb9af06991b491811cb8e094899","source":{"kind":"arxiv","id":"1511.05757","version":1},"attestation_state":"computed","paper":{"title":"Maximum Hands-off Control without Normality Assumption","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.SY","authors_text":"Masaaki Nagahara, Takuya Ikeda","submitted_at":"2015-11-18T12:51:41Z","abstract_excerpt":"Maximum hands-off control is a control that has the minimum L0 norm among all feasible controls. It is known that the maximum hands-off (or L0-optimal) control problem is equivalent to the L1-optimal control under the assumption of normality. In this article, we analyze the maximum hands-off control for linear time-invariant systems without the normality assumption. For this purpose, we introduce the Lp-optimal control with 0<p<1, which is a natural relaxation of the L0 problem. By using this, we investigate the existence and the bang-off-bang property (i.e. the control takes values of 1, 0 an"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1511.05757","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2015-11-18T12:51:41Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"20105c7924f2d64fe06d5569826cf000d80e898c16b9cec1b5886ffa4d169d24","abstract_canon_sha256":"ff92f03df08ad3d154addc11fd7c9819f0afd66397a58b2b1852cfe285c4d45c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:32.813119Z","signature_b64":"CiomCOw84Cn/lZwmNAmuocZwLQrPXq41p/nH2Y4QOQxZs3jssB9uSNP53j3S1qULB1TAURx/B1tEzbCOszHkDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a1e24b19fc1080474940dabade4f0b76f61fbb9af06991b491811cb8e094899","last_reissued_at":"2026-05-18T01:26:32.812536Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:32.812536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Maximum Hands-off Control without Normality Assumption","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.SY","authors_text":"Masaaki Nagahara, Takuya Ikeda","submitted_at":"2015-11-18T12:51:41Z","abstract_excerpt":"Maximum hands-off control is a control that has the minimum L0 norm among all feasible controls. It is known that the maximum hands-off (or L0-optimal) control problem is equivalent to the L1-optimal control under the assumption of normality. In this article, we analyze the maximum hands-off control for linear time-invariant systems without the normality assumption. For this purpose, we introduce the Lp-optimal control with 0<p<1, which is a natural relaxation of the L0 problem. By using this, we investigate the existence and the bang-off-bang property (i.e. the control takes values of 1, 0 an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.05757","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1511.05757","created_at":"2026-05-18T01:26:32.812641+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.05757v1","created_at":"2026-05-18T01:26:32.812641+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.05757","created_at":"2026-05-18T01:26:32.812641+00:00"},{"alias_kind":"pith_short_12","alias_value":"LIPCJMM7YEEA","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"LIPCJMM7YEEAI5EU","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"LIPCJMM7","created_at":"2026-05-18T12:29:29.992203+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LIPCJMM7YEEAI5EUBWV23ZHQW5","json":"https://pith.science/pith/LIPCJMM7YEEAI5EUBWV23ZHQW5.json","graph_json":"https://pith.science/api/pith-number/LIPCJMM7YEEAI5EUBWV23ZHQW5/graph.json","events_json":"https://pith.science/api/pith-number/LIPCJMM7YEEAI5EUBWV23ZHQW5/events.json","paper":"https://pith.science/paper/LIPCJMM7"},"agent_actions":{"view_html":"https://pith.science/pith/LIPCJMM7YEEAI5EUBWV23ZHQW5","download_json":"https://pith.science/pith/LIPCJMM7YEEAI5EUBWV23ZHQW5.json","view_paper":"https://pith.science/paper/LIPCJMM7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.05757&json=true","fetch_graph":"https://pith.science/api/pith-number/LIPCJMM7YEEAI5EUBWV23ZHQW5/graph.json","fetch_events":"https://pith.science/api/pith-number/LIPCJMM7YEEAI5EUBWV23ZHQW5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LIPCJMM7YEEAI5EUBWV23ZHQW5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LIPCJMM7YEEAI5EUBWV23ZHQW5/action/storage_attestation","attest_author":"https://pith.science/pith/LIPCJMM7YEEAI5EUBWV23ZHQW5/action/author_attestation","sign_citation":"https://pith.science/pith/LIPCJMM7YEEAI5EUBWV23ZHQW5/action/citation_signature","submit_replication":"https://pith.science/pith/LIPCJMM7YEEAI5EUBWV23ZHQW5/action/replication_record"}},"created_at":"2026-05-18T01:26:32.812641+00:00","updated_at":"2026-05-18T01:26:32.812641+00:00"}