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Incremental-Dissipativity-Based Synchronization of Interconnected Systems

Date

2011

Authors

Liu, Tao
Hill, David
Zhao, Jun

Journal Title

Journal ISSN

Volume Title

Publisher

International Federation of Automatic Control (IFAC)

Abstract

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.

Description

Keywords

Keywords: Dissipativity; Dynamical networks; Incremental-dissipativity; Input-output; Stability problem; Stability theories; State space representation; Sufficient conditions; Synchronization problem; Virtual systems; Large scale systems; State space methods; Synch Incremental-dissipativity; Interconnected systems; Synchronization

Citation

Source

IFAC World Congress 2011 proceedings

Type

Conference paper

Book Title

Entity type

Access Statement

License Rights

DOI

10.3182/20110828-6-IT-1002.02784

Restricted until

2037-12-31