{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:G6F55QPEMPKOUGTUOPPUX5QNJC","short_pith_number":"pith:G6F55QPE","canonical_record":{"source":{"id":"1611.09778","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-29T18:42:38Z","cross_cats_sorted":["cs.SY","math.DS"],"title_canon_sha256":"f45795a922ae0b811424783809afd466ff32e1aada4269b126e3c3efff700145","abstract_canon_sha256":"ffaaa2e1da7a3bf43fe36123fad2e74f372c30700481c9a654444cbb0a18a9d3"},"schema_version":"1.0"},"canonical_sha256":"378bdec1e463d4ea1a7473df4bf60d4882976b4a0c65d387c817f69381422170","source":{"kind":"arxiv","id":"1611.09778","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09778","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09778v1","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09778","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"pith_short_12","alias_value":"G6F55QPEMPKO","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"G6F55QPEMPKOUGTU","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"G6F55QPE","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:G6F55QPEMPKOUGTUOPPUX5QNJC","target":"record","payload":{"canonical_record":{"source":{"id":"1611.09778","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-29T18:42:38Z","cross_cats_sorted":["cs.SY","math.DS"],"title_canon_sha256":"f45795a922ae0b811424783809afd466ff32e1aada4269b126e3c3efff700145","abstract_canon_sha256":"ffaaa2e1da7a3bf43fe36123fad2e74f372c30700481c9a654444cbb0a18a9d3"},"schema_version":"1.0"},"canonical_sha256":"378bdec1e463d4ea1a7473df4bf60d4882976b4a0c65d387c817f69381422170","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:11.652300Z","signature_b64":"ibGZYKvxGHB6w6s9DaiCOlWL+RnxiBwrW91Ipfdv5Me6fGwMHSCkNdR4oDA8ByypfnpbG+i3AVB2cgZSuAh8Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"378bdec1e463d4ea1a7473df4bf60d4882976b4a0c65d387c817f69381422170","last_reissued_at":"2026-05-18T00:56:11.651804Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:11.651804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.09778","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:56:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WZCsheg57zIeHqkXewA2vHdlNGrE0xg0Y8Te01EDcwWY53PVDddiktRU71tYxh39Bo3e/J/Dc8Pa/uQOFJZhCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:09:00.135805Z"},"content_sha256":"144370548d9ec4133acf9877d43087f71f2fdcb97aaa5c7d66662fcee291118b","schema_version":"1.0","event_id":"sha256:144370548d9ec4133acf9877d43087f71f2fdcb97aaa5c7d66662fcee291118b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:G6F55QPEMPKOUGTUOPPUX5QNJC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multi-objective LQR with Optimum Weight Selection to Design FOPID Controllers for Delayed Fractional Order Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.DS"],"primary_cat":"math.OC","authors_text":"Indranil Pan, Saptarshi Das, Shantanu Das","submitted_at":"2016-11-29T18:42:38Z","abstract_excerpt":"An optimal trade-off design for fractional order (FO)-PID controller is proposed in this paper with a Linear Quadratic Regulator (LQR) based technique using two conflicting time domain control objectives. The deviation of the state trajectories and control signal are automatically enforced by the LQR. A class of delayed FO systems with single non-integer order element has been controlled here which exhibit both sluggish and oscillatory open loop responses. The FO time delay processes are controlled within a multi-objective optimization (MOO) formulation of LQR based FOPID design. The time dela"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09778","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:56:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zDI8iwGEjLOnHG8JRVwMZksx1YZmmcyiMIpEnRPPJd5i/29ixSSVH0DKR2Al4AlIXsDSXBwhIq/PHZpnF+4JDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:09:00.136156Z"},"content_sha256":"c8b82c7b6ce99660e09f38527666f2b707b737d316617e5fb41713d8e60aa7fb","schema_version":"1.0","event_id":"sha256:c8b82c7b6ce99660e09f38527666f2b707b737d316617e5fb41713d8e60aa7fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G6F55QPEMPKOUGTUOPPUX5QNJC/bundle.json","state_url":"https://pith.science/pith/G6F55QPEMPKOUGTUOPPUX5QNJC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G6F55QPEMPKOUGTUOPPUX5QNJC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T16:09:00Z","links":{"resolver":"https://pith.science/pith/G6F55QPEMPKOUGTUOPPUX5QNJC","bundle":"https://pith.science/pith/G6F55QPEMPKOUGTUOPPUX5QNJC/bundle.json","state":"https://pith.science/pith/G6F55QPEMPKOUGTUOPPUX5QNJC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G6F55QPEMPKOUGTUOPPUX5QNJC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:G6F55QPEMPKOUGTUOPPUX5QNJC","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":"ffaaa2e1da7a3bf43fe36123fad2e74f372c30700481c9a654444cbb0a18a9d3","cross_cats_sorted":["cs.SY","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-29T18:42:38Z","title_canon_sha256":"f45795a922ae0b811424783809afd466ff32e1aada4269b126e3c3efff700145"},"schema_version":"1.0","source":{"id":"1611.09778","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09778","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09778v1","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09778","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"pith_short_12","alias_value":"G6F55QPEMPKO","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"G6F55QPEMPKOUGTU","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"G6F55QPE","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:c8b82c7b6ce99660e09f38527666f2b707b737d316617e5fb41713d8e60aa7fb","target":"graph","created_at":"2026-05-18T00:56:11Z","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"},"paper":{"abstract_excerpt":"An optimal trade-off design for fractional order (FO)-PID controller is proposed in this paper with a Linear Quadratic Regulator (LQR) based technique using two conflicting time domain control objectives. The deviation of the state trajectories and control signal are automatically enforced by the LQR. A class of delayed FO systems with single non-integer order element has been controlled here which exhibit both sluggish and oscillatory open loop responses. The FO time delay processes are controlled within a multi-objective optimization (MOO) formulation of LQR based FOPID design. The time dela","authors_text":"Indranil Pan, Saptarshi Das, Shantanu Das","cross_cats":["cs.SY","math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-29T18:42:38Z","title":"Multi-objective LQR with Optimum Weight Selection to Design FOPID Controllers for Delayed Fractional Order Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09778","kind":"arxiv","version":1},"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":"sha256:144370548d9ec4133acf9877d43087f71f2fdcb97aaa5c7d66662fcee291118b","target":"record","created_at":"2026-05-18T00:56:11Z","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":"ffaaa2e1da7a3bf43fe36123fad2e74f372c30700481c9a654444cbb0a18a9d3","cross_cats_sorted":["cs.SY","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-29T18:42:38Z","title_canon_sha256":"f45795a922ae0b811424783809afd466ff32e1aada4269b126e3c3efff700145"},"schema_version":"1.0","source":{"id":"1611.09778","kind":"arxiv","version":1}},"canonical_sha256":"378bdec1e463d4ea1a7473df4bf60d4882976b4a0c65d387c817f69381422170","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"378bdec1e463d4ea1a7473df4bf60d4882976b4a0c65d387c817f69381422170","first_computed_at":"2026-05-18T00:56:11.651804Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:11.651804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ibGZYKvxGHB6w6s9DaiCOlWL+RnxiBwrW91Ipfdv5Me6fGwMHSCkNdR4oDA8ByypfnpbG+i3AVB2cgZSuAh8Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:11.652300Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.09778","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:144370548d9ec4133acf9877d43087f71f2fdcb97aaa5c7d66662fcee291118b","sha256:c8b82c7b6ce99660e09f38527666f2b707b737d316617e5fb41713d8e60aa7fb"],"state_sha256":"da1e3c03d85e7283587a0b0216b0a14b850f098d313d03df402ea50b096e8aba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gG3nW6m2Wt6dgTOTP794baOD2UVHsieOpJ8VcI6G0N6PBx+0Dh/X3dxUz9G1cUpeousn09BGkz/kXd9/zndeCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T16:09:00.138148Z","bundle_sha256":"69c0abec94cfda399148a1474aee940e5040def35e7b093b67172809ea7ccdae"}}