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Research Article | Open Access

Controller design for cyber-physical systems with inputs via logical networks

Guodong ZhaoHaitao Li( )
School of Mathematics and Statistics, Shandong Normal University, Jinan 250000, China
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Abstract

This paper investigated the robustness of cyber-physical systems (CPSs) under controller design. First, a formal definition of robustness for CPSs with inputs was established. Second, a systematic framework was proposed, featuring two novel algorithms that transform both infinite and finite systems into equivalent logical dynamical networks with inputs. Subsequently, the robustness of these systems was rigorously analyzed under the influence of the designed controllers. Finally, a numerical example was provided to illustrate the controller design process that ensures robustness for the considered CPSs.

CLC number: 37N35, 93D99

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AIMS Mathematics
Pages 25175-25192

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Cite this article:
Zhao G, Li H. Controller design for cyber-physical systems with inputs via logical networks. AIMS Mathematics, 2025, 10(11): 25175-25192. https://doi.org/10.3934/math.20251114

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Received: 21 August 2025
Revised: 30 September 2025
Accepted: 21 October 2025
Published: 03 November 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)