{"paper":{"title":"Decentralized Frequency-Domain Conditions for D-Stability with Application to DC Microgrids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Decentralized local frequency-domain criteria guarantee D-stability in networked linear systems and enable broadcastable parameter synthesis for DC microgrids.","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Hua Geng, Shanshan Jiang, Xiang Zhu, Xiaoyu Peng, Xiuqiang He, Zelin Sun","submitted_at":"2026-05-13T13:41:06Z","abstract_excerpt":"This paper proposes a decentralized method for regional pole placement, or $\\mathcal{D}$-stability, in linearized networked systems. Existing LMI-based methods are hindered by confidentiality concerns regarding proprietary subsystem models and the absence of communication infrastructures. To overcome these barriers, we map the target region $\\mathcal{D}$ of pole placement to an auxiliary left-half plane and introduce positive functions to handle the resulting complex-coefficient dynamics. We prove that $\\mathcal{D}$-stability is guaranteed via local frequency-domain criteria without requiring "},"claims":{"count":3,"items":[{"kind":"strongest_claim","text":"We prove that D-stability is guaranteed via local frequency-domain criteria without requiring shared subsystem models or inter-subsystem communication.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The target region D can be mapped to an auxiliary left-half plane such that positive functions exist to certify the resulting complex-coefficient dynamics; this mapping and function construction must hold for the specific network topology.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Decentralized local frequency-domain criteria guarantee D-stability in networked linear systems and enable broadcastable parameter synthesis for DC microgrids.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"}],"snapshot_sha256":"313ae050de3de054b87c3ab360337d17994ca22825a7aded06b2689abb507c87"},"source":{"id":"2605.13529","kind":"arxiv","version":1},"verdict":{"id":"0be8fc9f-cc42-4ecf-a606-eb38d2b39d1c","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T17:58:09.416183Z","strongest_claim":"We prove that D-stability is guaranteed via local frequency-domain criteria without requiring shared subsystem models or inter-subsystem communication.","one_line_summary":"Decentralized local frequency-domain criteria guarantee D-stability in networked linear systems and enable broadcastable parameter synthesis for DC microgrids.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The target region D can be mapped to an auxiliary left-half plane such that positive functions exist to certify the resulting complex-coefficient dynamics; this mapping and function construction must hold for the specific network topology.","pith_extraction_headline":""},"references":{"count":32,"sample":[{"doi":"","year":2025,"title":"Hybrid oscillation damping and inertia management for distributed energy resources,","work_id":"61c289f9-86f2-4148-8e86-eef426049e55","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1996,"title":"H ∞ design with pole placement constraints: an lmi approach,","work_id":"e4144417-0a33-4a13-94a5-768079609bc8","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1999,"title":"Robust pole placement in lmi regions,","work_id":"970d2879-bb86-4dbf-b72b-6ff24d0d8a6c","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1997,"title":"Multiobjective output-feedback control via lmi optimization,","work_id":"e1cfd61b-56f5-4a96-8e61-442a698516d0","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2003,"title":"An improved lmi condition for robust d- stability of uncertain polytopic systems,","work_id":"4c67d373-1f89-46ba-bdeb-f088ff6d00e9","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":32,"snapshot_sha256":"ee6c065a8d5bbb34d944f0120cbc19bc856bcad0781c63c4a6bc7c06df386b4b","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"8ab5b72172b707f91ec515fb06bc07505c3d7d95b4cd9eb93c8c2cdd6c90e501"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}