A contraction approach to the hierarchical analysis and design of networked systems

Giovanni Russo, Mario Di Bernardo, Eduardo D. Sontag

Research output: Contribution to journalArticle (Academic Journal)peer-review

48 Citations (Scopus)

Abstract

This brief is concerned with the stability of continuous-time networked systems. Using contraction theory, a result is established on the network structure and the properties of the individual component subsystems and their couplings to ensure the overall contractivity of the entire network. Specifically, it is shown that a contraction property on a reduced-order matrix that quantifies the interconnection structure, coupled with contractivity/ expansion estimates on the individual component subsystems, suffices to ensure that trajectories of the overall system converge towards each other.

Original languageEnglish
Article number6327337
Pages (from-to)1328-1331
Number of pages4
JournalIEEE Transactions on Automatic Control
Volume58
Issue number5
DOIs
Publication statusPublished - 17 May 2013

Keywords

  • Contractivity

Fingerprint Dive into the research topics of 'A contraction approach to the hierarchical analysis and design of networked systems'. Together they form a unique fingerprint.

Cite this