{"paper":{"title":"Observer-Based Stabilization for Linear Multi-Agent Dynamical Systems Using Generalized Frequency Variables","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"A separation principle lets observers and controllers be designed independently for stable output feedback in homogeneous multi-agent networks.","cross_cats":["cs.SY","math.DS"],"primary_cat":"eess.SY","authors_text":"G. Q. Bao Tran, Shinji Hara, Yutaka Hori","submitted_at":"2026-05-18T00:32:23Z","abstract_excerpt":"We address the conditions and design of controllers and observers for homogeneous networks of linear MIMO agents. We develop networked controllers and observers that ensure the stability of both the system state and the estimation error, leveraging the concept of generalized frequency variables. A separation principle for networks is then established, showing that the observer and controller can be designed independently and combined to achieve a stable output feedback. Our results are illustrated via a highly unstable, oscillatory network of locally actuated pendulums on carts. Finally, neces"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"A separation principle for networks is then established, showing that the observer and controller can be designed independently and combined to achieve a stable output feedback.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The multi-agent network consists of homogeneous linear MIMO agents for which generalized frequency variables can be defined and applied to decouple the stability analysis of the closed-loop system and error dynamics.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Establishes a separation principle for observer-based stabilization in homogeneous linear multi-agent networks via generalized frequency variables, with an example on unstable pendulum networks and conditions for controllability/observability.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A separation principle lets observers and controllers be designed independently for stable output feedback in homogeneous multi-agent networks.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"17de93b0bc11706bdf69ce2a22858eb40d6a823bf49e83d77f16406cd7ac5576"},"source":{"id":"2605.17715","kind":"arxiv","version":1},"verdict":{"id":"c181dfca-d7f1-4f2e-b9d2-eb6576a73e4f","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T22:37:11.438021Z","strongest_claim":"A separation principle for networks is then established, showing that the observer and controller can be designed independently and combined to achieve a stable output feedback.","one_line_summary":"Establishes a separation principle for observer-based stabilization in homogeneous linear multi-agent networks via generalized frequency variables, with an example on unstable pendulum networks and conditions for controllability/observability.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The multi-agent network consists of homogeneous linear MIMO agents for which generalized frequency variables can be defined and applied to decouple the stability analysis of the closed-loop system and error dynamics.","pith_extraction_headline":"A separation principle lets observers and controllers be designed independently for stable output feedback in homogeneous multi-agent networks."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.17715/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_title_agreement","ran_at":"2026-05-19T23:01:19.396902Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T22:40:53.904685Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"shingle_duplication","ran_at":"2026-05-19T21:49:43.471418Z","status":"skipped","version":"0.1.0","findings_count":0},{"name":"citation_quote_validity","ran_at":"2026-05-19T21:49:43.300818Z","status":"skipped","version":"0.1.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T21:33:23.504707Z","status":"skipped","version":"1.0.0","findings_count":0},{"name":"cited_work_retraction","ran_at":"2026-05-19T21:21:58.034654Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T21:21:57.408947Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"d005681bfd0a24ba1d7b9c5a869366eaad29a76a872a6d175f26c9d57cdb96c6"},"references":{"count":20,"sample":[{"doi":"","year":2013,"title":"2013 , issn =","work_id":"ff66affa-691b-42a8-a2c4-e0506eb6c10d","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Chen, L. and Aihara, K. , journal=. 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