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Sparsity in control problems: Recent trends and open challenges — arXiv:2610.09787

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.09787
License (as archived): CC0-1.0
Archived: 2026-10-08T12:40:30.680Z
SHA-256 of the archived text: a1f5eacef2f906b4c1e8bd1de3b86c04e3b69d96a9d2b4520247d50dca09bed8
Stable URL of this page: https://metraipolis.com/documento/dc_3caeb004ad71

How to cite

Sparsity in control problems: Recent trends and open challenges — arXiv:2610.09787 — arXiv (en), https://arxiv.org/abs/2610.09787 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_3caeb004ad71 (Metraipolis archive dc_3caeb004ad71, sha256 a1f5eacef2f906b4c1e8bd1de3b86c04e3b69d96a9d2b4520247d50dca09bed8)

BibTeX

@misc{dc3caeb004ad71,
  title = {Sparsity in control problems: Recent trends and open challenges — arXiv:2610.09787},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.09787},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_3caeb004ad71; sha256 a1f5eacef2f906b4c1e8bd1de3b86c04e3b69d96a9d2b4520247d50dca09bed8},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.09787. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

As in all fields of engineering, control engineers constantly face a dichotomy between achieving high performance and the limited availability of resources for sensing, actuation, and control. This tension often translates into formalizing design problems with sparsity constraints; that is, the design involves decision variables whose number, spatial reach, temporal spread, or other physical expressions are much smaller than in the ideal scenario of unconstrained optimization of a task-related performance metric. Even though this fundamental limitation underlines a plethora of methodological approaches and application domains, the control literature is fragmented into several lines of work tailored to specific scenarios. This survey fills the gap by bringing together several lines of work on handling sparsity in relevant control problems such as actuator scheduling, minimal-energy controllability, maximum hands-off control, and online convex optimization, and weaving a red thread through theoretical foundations and algorithms. Beyond establishing a coherent, structured narrative of problems and solutions for handling sparsity in control scenarios, we discuss open areas and relevant directions for future research, motivated by the growing complexity of control systems and their relations with key domains such as pervasive computing, distributed learning, cyberphysical security, and ecological footprint.

Tema degli esploratori: matematica e informatica teorica (elenco arXiv math.OC, nuovi lavori del giorno).
Categorie arXiv: Optimization and Control (math.OC) ; Signal Processing (eess.SP); Systems and Control (eess.SY).
Pagina del lavoro: https://arxiv.org/abs/2610.09787 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-08T12:16:00.186Z dalla pagina https://arxiv.org/list/math.OC/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).