FIXED-TIME PASSIVITY AND SYNCHRONIZATION OF SPATIOTEMPORAL DIRECTED NETWORKS WITH MULTIPLE WEIGHTS

doi:10.1007/s10473-026-0120-7

数学物理学报(英文版) ›› 2026, Vol. 46 ›› Issue (1): 361-382.doi: 10.1007/s10473-026-0120-7

FIXED-TIME PASSIVITY AND SYNCHRONIZATION OF SPATIOTEMPORAL DIRECTED NETWORKS WITH MULTIPLE WEIGHTS

Yujie MA¹, Cheng HU^1,*, Leimin WANG²

1. College of Mathematics and System Science, Xinjiang University, Urumqi 830017, China;
2. School of Automation, China University of Geosciences, Wuhan 430074, China

收稿日期:2024-10-30 修回日期:2025-01-24 出版日期:2026-01-25 发布日期:2026-05-22

FIXED-TIME PASSIVITY AND SYNCHRONIZATION OF SPATIOTEMPORAL DIRECTED NETWORKS WITH MULTIPLE WEIGHTS

Yujie MA¹, Cheng HU^1,*, Leimin WANG²

1. College of Mathematics and System Science, Xinjiang University, Urumqi 830017, China;
2. School of Automation, China University of Geosciences, Wuhan 430074, China

Received:2024-10-30 Revised:2025-01-24 Online:2026-01-25 Published:2026-05-22
Contact: * Cheng HU, E-mail: hucheng@xju.edu.cn
About author:Yujie MA, E-mail: myj20221122@163.com; Leimin WANG, E-mail: wangleimin@cug.edu.cn
Supported by:
National Natural Science Foundation of China (62373317), the Tianshan Talent Training Program (2022TSYCCX0013), the Key Project of Natural Science Foundation of Xinjiang (2021D01D10), the Basic Research Foundation for Universities of Xinjiang (XJEDU2023P023), the Xinjiang Key Laboratory of Applied Mathematics (XJDX1401), and the Intelligent Control and Optimization Research Platform in Xinjiang University.

摘要/Abstract

摘要： This paper is dedicated to fixed-time passivity and synchronization for multi-weighted spatiotemporal directed networks. First, to achieve fixed-time passivity, a type of decentralized power-law controller is developed, in which only one parameter needs to be adjusted in the power-law terms; this greatly decreases the inconvenience of parameter adjustment. Second, several fixed-time passivity criteria with LMI forms are derived by using a Gauss divergence theorem to deal with the spatial diffusion of nodes and by applying the Hölder's inequality to dispose rigorously the power-law term greater than one in the designed control scheme; this improves the previous theoretical analysis. Additionally, the fixed-time synchronization of spatiotemporal directed networks with multi-weights is addressed as a direct result of fixed-time strict passivity. Finally, a numerical example is presented in order to show the validity of the theoretical analysis.

关键词: fixed-time passivity, fixed-time synchronization, spatiotemporal networks, multiple weights, directed topology

Abstract: This paper is dedicated to fixed-time passivity and synchronization for multi-weighted spatiotemporal directed networks. First, to achieve fixed-time passivity, a type of decentralized power-law controller is developed, in which only one parameter needs to be adjusted in the power-law terms; this greatly decreases the inconvenience of parameter adjustment. Second, several fixed-time passivity criteria with LMI forms are derived by using a Gauss divergence theorem to deal with the spatial diffusion of nodes and by applying the Hölder's inequality to dispose rigorously the power-law term greater than one in the designed control scheme; this improves the previous theoretical analysis. Additionally, the fixed-time synchronization of spatiotemporal directed networks with multi-weights is addressed as a direct result of fixed-time strict passivity. Finally, a numerical example is presented in order to show the validity of the theoretical analysis.

Key words: fixed-time passivity, fixed-time synchronization, spatiotemporal networks, multiple weights, directed topology

中图分类号:

93B52

Yujie MA¹, Cheng HU^1,*, Leimin WANG². FIXED-TIME PASSIVITY AND SYNCHRONIZATION OF SPATIOTEMPORAL DIRECTED NETWORKS WITH MULTIPLE WEIGHTS[J]. 数学物理学报(英文版), 2026, 46(1): 361-382.

Yujie MA¹, Cheng HU^1,*, Leimin WANG². FIXED-TIME PASSIVITY AND SYNCHRONIZATION OF SPATIOTEMPORAL DIRECTED NETWORKS WITH MULTIPLE WEIGHTS[J]. Acta mathematica scientia,Series B, 2026, 46(1): 361-382.

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FIXED-TIME PASSIVITY AND SYNCHRONIZATION OF SPATIOTEMPORAL DIRECTED NETWORKS WITH MULTIPLE WEIGHTS

FIXED-TIME PASSIVITY AND SYNCHRONIZATION OF SPATIOTEMPORAL DIRECTED NETWORKS WITH MULTIPLE WEIGHTS

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