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Finite-frame data-driven simulation and linear-quadratic optimal control of quarter-plane causal 2D systems

Finite-frame data-driven simulation and linear-quadratic optimal control of quarter-plane causal 2D systems
Finite-frame data-driven simulation and linear-quadratic optimal control of quarter-plane causal 2D systems
We are given sufficiently informative input-output data from a quarter-plane causal $2D$ system; boundary conditions; and an input-sequence over a finite extent set of $\Z \times \Z$. We compute from such data a local solution to the (unknown) system of partial difference equations governing the system (\emph{data-driven simulation}). Given a quadratic cost, we compute from the data a trajectory locally satisfying the system equations that minimises the performance index (\emph{data-driven LQ-optimal control problem}).
Linear quarter-plane casual 2D systems, Data-driven simulation, Data-driven optimal control
0020-7179
1-15
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Wolski, Aleksander
74dcb812-aa07-4015-ac80-65fd9293e282
Zhang, Yueqing
ab6a3071-e2b6-431e-8b8d-b14e00ade9f6
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Wolski, Aleksander
74dcb812-aa07-4015-ac80-65fd9293e282
Zhang, Yueqing
ab6a3071-e2b6-431e-8b8d-b14e00ade9f6

Rapisarda, Paolo, Wolski, Aleksander and Zhang, Yueqing (2026) Finite-frame data-driven simulation and linear-quadratic optimal control of quarter-plane causal 2D systems. International Journal of Control, 1-15. (doi:10.1080/00207179.2026.2703218).

Record type: Article

Abstract

We are given sufficiently informative input-output data from a quarter-plane causal $2D$ system; boundary conditions; and an input-sequence over a finite extent set of $\Z \times \Z$. We compute from such data a local solution to the (unknown) system of partial difference equations governing the system (\emph{data-driven simulation}). Given a quadratic cost, we compute from the data a trajectory locally satisfying the system equations that minimises the performance index (\emph{data-driven LQ-optimal control problem}).

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Accepted/In Press date: 7 July 2026
e-pub ahead of print date: 6 August 2026
Keywords: Linear quarter-plane casual 2D systems, Data-driven simulation, Data-driven optimal control
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Identifiers

Local EPrints ID: 513663
URI: https://eprints.soton.ac.uk/id/eprint/513663
DOI: doi:10.1080/00207179.2026.2703218
ISSN: 0020-7179
PURE UUID: 5436cb51-def4-4da6-8149-184ebce3879b
ORCID for Paolo Rapisarda: ORCID iD orcid.org/0000-0001-9682-8977
ORCID for Aleksander Wolski: ORCID iD orcid.org/0009-0000-7026-9775
ORCID for Yueqing Zhang: ORCID iD orcid.org/0000-0003-2304-6151

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Date deposited: 24 Aug 2026 16:39
Last modified: 13 Sep 2026 15:50

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Contributors

Author: Paolo Rapisarda ORCID iD
Author: Aleksander Wolski ORCID iD
Author: Yueqing Zhang ORCID iD

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