{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3XDIXGVZ32UQLNWXFB6QCHDOHS","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":"a4238f8ee3d48f1f9e100988dcb9f6e86763ccc993405ee7e5d6554ae11c1fbb","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-04-10T02:02:51Z","title_canon_sha256":"d09b3feed75bb098b54993bef1e441ffb3499877331722edc96444f77e9d6030"},"schema_version":"1.0","source":{"id":"1504.02532","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.02532","created_at":"2026-05-17T23:51:06Z"},{"alias_kind":"arxiv_version","alias_value":"1504.02532v2","created_at":"2026-05-17T23:51:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.02532","created_at":"2026-05-17T23:51:06Z"},{"alias_kind":"pith_short_12","alias_value":"3XDIXGVZ32UQ","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3XDIXGVZ32UQLNWX","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3XDIXGVZ","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:dc77b221f0ee971f7e1989e41a932733212a407a2a6519d54c561993c851c031","target":"graph","created_at":"2026-05-17T23:51:06Z","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":"In this paper, we propose an optimization framework to design a network of positive linear systems whose structure switches according to a Markov process. The optimization framework herein proposed allows the network designer to optimize the coupling elements of a directed network, as well as the dynamics of the nodes in order to maximize the stabilization rate of the network and/or the disturbance rejection against an exogenous input. The cost of implementing a particular network is modeled using posynomial cost functions, which allow for a wide variety of modeling options. In this context, w","authors_text":"Masaki Ogura, Victor M. Preciado","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-04-10T02:02:51Z","title":"Optimal Design of Switched Networks of Positive Linear Systems via Geometric Programming"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.02532","kind":"arxiv","version":2},"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":"sha256:942962efd22b75e8921e32c7696c979ecbc0d0b700b40770df966d3fdce8531a","target":"record","created_at":"2026-05-17T23:51:06Z","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":"a4238f8ee3d48f1f9e100988dcb9f6e86763ccc993405ee7e5d6554ae11c1fbb","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-04-10T02:02:51Z","title_canon_sha256":"d09b3feed75bb098b54993bef1e441ffb3499877331722edc96444f77e9d6030"},"schema_version":"1.0","source":{"id":"1504.02532","kind":"arxiv","version":2}},"canonical_sha256":"ddc68b9ab9dea905b6d7287d011c6e3cac37eb1d9c074a3a4339b5a3de554770","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ddc68b9ab9dea905b6d7287d011c6e3cac37eb1d9c074a3a4339b5a3de554770","first_computed_at":"2026-05-17T23:51:06.515972Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:06.515972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nH0oc2OvZ/bPHh5QleNrHHAiXc98J8wqgyfqiCtExvL4tCkr7EErywY2++X+ZaIMqIhwvqVtyocQPko9V89lBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:06.516456Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.02532","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:942962efd22b75e8921e32c7696c979ecbc0d0b700b40770df966d3fdce8531a","sha256:dc77b221f0ee971f7e1989e41a932733212a407a2a6519d54c561993c851c031"],"state_sha256":"5466ae718daa87e8b0c8c0255451a603e4f84fb74b73e2775f2221704e253d60"}