Incremental-dissipativity-based synchronization of interconnected systems

Tao Liu*, David J. Hill, Jun Zhao

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    10 Citations (Scopus)


    In this paper, the incremental-dissipativity is used to investigate synchronization of a class of dynamical networks from an input-output point of view. The network consists of subsystems described by input-output operators. Firstly, the concept of incremental-passivity is extended to incremental-dissipativity, and it shows that the incremental-dissipativity of the subsystems leads to the dissipativity of a group of virtual systems each of which is related to an individual subsystem. Then the synchronization problem is transformed into the stability problem of a system interconnected by the virtual systems. By utilizing the stability theory of large-scale systems, a sufficient condition is obtained which ensures the input-output synchronization of the network. The counterparts of the main result and the discussion on conditions of the incremental-dissipativity for the subsystems with state space representations are also presented. Finally, an example is given to show the effectiveness of the proposed result.

    Original languageEnglish
    Title of host publicationProceedings of the 18th IFAC World Congress
    PublisherIFAC Secretariat
    Number of pages6
    Edition1 PART 1
    ISBN (Print)9783902661937
    Publication statusPublished - 2011

    Publication series

    NameIFAC Proceedings Volumes (IFAC-PapersOnline)
    Number1 PART 1
    ISSN (Print)1474-6670


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