Scalable stability conditions for heterogeneous networks via integral quadratic constraints

Sei Zhen Khong, Anders Rantzer

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

4 Scopus citations

Abstract

Decentralised and scalable conditions for robust stability of networks of heterogenous linear time-invariant (LTI) systems are derived based on integral quadratic constraints. These generalise previous works in the literature with an increased flexibility in the choice of multipliers employed. The results allow for arbitrary interconnection matrices and accommodate multi-input-multi-output systems. Similar conditions are also developed for nonlinear systems interconnected with LTI systems following a bipartite structure. In particular, the stability certificates only involve each individual LTI agent and its nearest nonlinear neighbours.

Original languageEnglish (US)
Title of host publication2014 European Control Conference, ECC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2863-2867
Number of pages5
ISBN (Electronic)9783952426913
DOIs
StatePublished - Jul 22 2014
Event13th European Control Conference, ECC 2014 - Strasbourg, France
Duration: Jun 24 2014Jun 27 2014

Publication series

Name2014 European Control Conference, ECC 2014

Other

Other13th European Control Conference, ECC 2014
CountryFrance
CityStrasbourg
Period6/24/146/27/14

Keywords

  • Heterogenous networks
  • distributed stability conditions
  • integral quadratic constraints
  • scalability

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    Khong, S. Z., & Rantzer, A. (2014). Scalable stability conditions for heterogeneous networks via integral quadratic constraints. In 2014 European Control Conference, ECC 2014 (pp. 2863-2867). [6862381] (2014 European Control Conference, ECC 2014). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ECC.2014.6862381