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author:

Zhang, Chunmei (Zhang, Chunmei.) [1] | Yang, Hui (Yang, Hui.) [2] | Zhou, Jiamin (Zhou, Jiamin.) [3] | Zhou, Hui (Zhou, Hui.) [4]

Indexed by:

EI

Abstract:

This paper focuses on partial identification problems of coupled matrices for stochastic hybrid multi-layer delayed networks with inter-layer and intra-layer couplings and Markovian switching. The main approach is to combine Lyapunov method, Kirchhoff’s matrix-tree theorem and stochastic analysis. By pinning control technique, partial identification criterion is got. As a special case, the whole identification criterion is also derived. At last, three numerical examples of classical Lü and Lorenz systems are provided to demonstrate the validity of the presented results. Especially the impact of Markovian switching on partial topology identification is discussed. © 2004-2012 IEEE.

Keyword:

Delay control systems Markov processes Matrix algebra Network layers Network theory (graphs) Perturbation techniques Stochastic control systems Stochastic systems Switching theory Trees (mathematics)

Community:

  • [ 1 ] [Zhang, Chunmei]Southwest Jiaotong University, School of Mathematics, Chengdu; 611756, China
  • [ 2 ] [Zhang, Chunmei]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing; 100190, China
  • [ 3 ] [Yang, Hui]Southwest Jiaotong University, School of Mathematics, Chengdu; 611756, China
  • [ 4 ] [Zhou, Jiamin]Southwest Jiaotong University, School of Mathematics, Chengdu; 611756, China
  • [ 5 ] [Zhou, Hui]Fuzhou University, College of Computer and Data Science, Fuzhou; 350108, China
  • [ 6 ] [Zhou, Hui]Harbin Institute of Technology (Weihai), Department of Mathematics, Weihai; 264209, China

Reprint 's Address:

  • [zhou, hui]harbin institute of technology (weihai), department of mathematics, weihai; 264209, china;;[zhou, hui]fuzhou university, college of computer and data science, fuzhou; 350108, china

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Source :

IEEE Transactions on Automation Science and Engineering

ISSN: 1545-5955

Year: 2025

Volume: 22

Page: 9994-10007

5 . 9 0 0

JCR@2023

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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