Topology identification of complex dynamical networks

Junchan Zhao, Qin Li, Jun An Lu, Zhong-Ping Jiang

Research output: Contribution to journalArticle

Abstract

Recently, some researchers investigated the topology identification for complex networks via LaSalle's invariance principle. The principle cannot be directly applied to time-varying systems since the positive limit sets are generally not invariant. In this paper, we study the topology identification problem for a class of weighted complex networks with time-varying node systems. Adaptive identification laws are proposed to estimate the coupling parameters of the networks with and without communication delays. We prove that the asymptotic identification is ensured by a persistently exciting condition. Numerical simulations are given to demonstrate the effectiveness of the proposed approach.

Original languageEnglish (US)
Article number016002CHA
JournalChaos
Volume20
Issue number2
DOIs
StatePublished - Apr 2010

Fingerprint

Complex Dynamical Networks
Complex networks
topology
Topology
Complex Networks
Time varying systems
Invariance
LaSalle's Invariance Principle
Identification (control systems)
Weighted Networks
Communication Delay
Time-varying Systems
Limit Set
Identification Problem
invariance
Communication
Time-varying
Computer simulation
communication
Numerical Simulation

ASJC Scopus subject areas

  • Applied Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Topology identification of complex dynamical networks. / Zhao, Junchan; Li, Qin; Lu, Jun An; Jiang, Zhong-Ping.

In: Chaos, Vol. 20, No. 2, 016002CHA, 04.2010.

Research output: Contribution to journalArticle

Zhao, Junchan ; Li, Qin ; Lu, Jun An ; Jiang, Zhong-Ping. / Topology identification of complex dynamical networks. In: Chaos. 2010 ; Vol. 20, No. 2.
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