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

  • Yujie MA1 ,
  • Cheng HU1 ,
  • * ,
  • Leimin WANG2
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  • 1. College of Mathematics and System Science, Xinjiang University, Urumqi 830017, China;
    2. School of Automation, China University of Geosciences, Wuhan 430074, China
Yujie MA, E-mail: myj20221122@163.com; Leimin WANG, E-mail: wangleimin@cug.edu.cn

Received date: 2024-10-30

  Revised date: 2025-01-24

  Online published: 2026-05-22

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.

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.

Cite this article

Yujie MA1 , Cheng HU1 , * , 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 . DOI: 10.1007/s10473-026-0120-7

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