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

Giovanni Russo; Mario Di Bernardo; Eduardo D. Sontag

doi:10.1109/TAC.2012.2223355

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

Giovanni Russo, Mario Di Bernardo, Eduardo D. Sontag

Research output: Contribution to journal › Article (Academic Journal) › peer-review

70 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 language	English
Article number	6327337
Pages (from-to)	1328-1331
Number of pages	4
Journal	IEEE Transactions on Automatic Control
Volume	58
Issue number	5
DOIs	https://doi.org/10.1109/TAC.2012.2223355
Publication status	Published - 17 May 2013

Research Groups and Themes

Engineering Mathematics Research Group

Keywords

Contractivity

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

Abstract

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