Robust synchronisation of unstable linear time-invariant systems

Sei Zhen Khong, Enrico Lovisari, Chung Yao Kao

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations


A framework based on the gap metric and integral quadratic constraints (IQCs) is developed for analysing robust synchronisation of heterogenous linear time-invariant networks. Both the agents and the communication channels are allowed to be dynamic and unstable. Structural properties of the uncertainty are described by IQCs and exploited in synchronisation analysis as a means to reduce conservatism. The homotopy employed in IQC analysis is defined with respect to the graph topology as induced by the gap metric, whereby open-loop unstable dynamics are accommodated. The results in this paper extend recent developments, which have been shown to unify several existing synchronisation analysis methods in the literature.

Original languageEnglish (US)
Title of host publication2015 10th Asian Control Conference
Subtitle of host publicationEmerging Control Techniques for a Sustainable World, ASCC 2015
EditorsHazlina Selamat, Hafiz Rashidi Haruna Ramli, Ahmad Athif Mohd Faudzi, Ribhan Zafira Abdul Rahman, Asnor Juraiza Ishak, Azura Che Soh, Siti Anom Ahmad
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781479978625
StatePublished - Sep 8 2015
Event10th Asian Control Conference, ASCC 2015 - Kota Kinabalu, Malaysia
Duration: May 31 2015Jun 3 2015

Publication series

Name2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015


Other10th Asian Control Conference, ASCC 2015
CityKota Kinabalu

Bibliographical note

Publisher Copyright:
© 2015 IEEE.


  • Synchronisation
  • consensus
  • integral quadratic constraints
  • multi-agent networks
  • unstable dynamics


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