Network combination to persistence of high-dimensional delayed complex balanced mass-action systems

IF 4.8 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Automatica Pub Date : 2025-03-15 DOI:10.1016/j.automatica.2025.112256

Xiaoyu Zhang , Chuanhou Gao , Denis Dochain

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Abstract

Complex balanced mass-action systems (CBMASs) are of great importance in the field of biochemical systems. However, the increase in system dimensionality significantly amplifies the complexity of boundary cases, posing a considerable challenge for persistence analysis of CBMASs with or without time delays. To tackle this issue, we propose a method of network combination, wherein some high-dimensional delayed CBMAS (DeCBMAS) is regarded as a combination of sub-DeCBMASs that are of dimension lower than 2, according to a certain combination mode. By defining all combination modes as the intersection between semilocking sets and intersecting species sets, we further classify the complex and diverse boundaries brought about by high dimensions and resolve them by utilizing the boundaries of subsystems accordingly, which could not be resolved in previous work. This approach overcomes the bottleneck of persistence in high-dimensional DeCBMAS in some degree. The effectiveness of our proposed approach is also demonstrated through several examples, highlighting its practical applicability.

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从网络组合到高维延迟复杂平衡质量作用系统的持久性

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来源期刊

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.