{"paper":{"title":"Guaranteed cost structured control in infinite-horizon linear-quadratic cooperative differential games","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Pareto optimal controls in infinite-horizon linear-quadratic cooperative games with output feedback belong to the class of feedback guaranteed cost structured controls.","cross_cats":["cs.SY","eess.SY"],"primary_cat":"math.OC","authors_text":"Aniruddha Roy, Pavankumar Tallapragada","submitted_at":"2026-05-13T07:13:52Z","abstract_excerpt":"In this paper, we consider infinite-horizon linear-quadratic cooperative differential games with output feedback information structure. We first demonstrate that, under output feedback information structure, computing Pareto optimal controls can be difficult even for simple low-dimensional differential games. To address this issue, this paper introduces the concept of feedback guaranteed cost structured control (GCSC). The feedback GCSC concept is inspired from suboptimal control. At a feedback GCSC, the total weighted team cost remains below a prescribed threshold while satisfying the structu"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We show that if Pareto optimal controls exist, they belong to the class of feedback GCSCs.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The system must admit a linear-quadratic infinite-horizon structure that allows the derivation of monotonicity properties and suboptimality bounds for the admissible weight set.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Feedback GCSC bounds the total weighted cost in cooperative LQ games under output feedback and includes Pareto optima when they exist.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Pareto optimal controls in infinite-horizon linear-quadratic cooperative games with output feedback belong to the class of feedback guaranteed cost structured controls.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"6faa6a964fb9f64316563121c1518aff5b4f83a3c9bf6e278f3ac0610cdfac45"},"source":{"id":"2605.13103","kind":"arxiv","version":1},"verdict":{"id":"c323d804-d71b-402c-bcfa-f83e19ff8692","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T18:16:47.053341Z","strongest_claim":"We show that if Pareto optimal controls exist, they belong to the class of feedback GCSCs.","one_line_summary":"Feedback GCSC bounds the total weighted cost in cooperative LQ games under output feedback and includes Pareto optima when they exist.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The system must admit a linear-quadratic infinite-horizon structure that allows the derivation of monotonicity properties and suboptimality bounds for the admissible weight set.","pith_extraction_headline":"Pareto optimal controls in infinite-horizon linear-quadratic cooperative games with output feedback belong to the class of feedback guaranteed cost structured controls."},"references":{"count":24,"sample":[{"doi":"","year":1999,"title":"T. Basar and G. Olsder,Dynamic Noncooperative Game Theory: 2nd Edition, ser. Classics in Applied Mathematics. SIAM, 1999","work_id":"382dbde8-0e97-414f-bed8-e93fa5481a44","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2005,"title":"Engwerda,LQ dynamic optimization and differential games","work_id":"bde7204c-a680-4404-90aa-32933ff5da68","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2017,"title":"Networked control design for coalitional schemes using game-theoretic methods,","work_id":"9569f93d-da0e-44bf-9e10-5000daeeda7b","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2015,"title":"Cooperative control of power system load and frequency by using differential games,","work_id":"db18f7af-83b3-45c1-87e5-deacdef1e5f8","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2019,"title":"Cooperative differential game- based optimal control and its application to power systems,","work_id":"27422fd3-51ce-41e8-99a4-d647c132662c","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":24,"snapshot_sha256":"96ec3808d3fffa2de803bd843c2092b75a470cfdc9a99b1f3f417d26431d07f4","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"}