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Stability and stabilisation of a class of networked dynamic systems

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  • H. B. Liu
  • D. Q. Wang

Abstract

We investigate the stability and stabilisation of a linear time invariant networked heterogeneous system with arbitrarily connected subsystems. A new linear matrix inequality based sufficient and necessary condition for the stability is derived, based on which the stabilisation is provided. The obtained conditions efficiently utilise the block-diagonal characteristic of system parameter matrices and the sparseness of subsystem connection matrix. Moreover, a sufficient condition only dependent on each individual subsystem is also presented for the stabilisation of the networked systems with a large scale. Numerical simulations show that these conditions are computationally valid in the analysis and synthesis of a large-scale networked system.

Suggested Citation

  • H. B. Liu & D. Q. Wang, 2018. "Stability and stabilisation of a class of networked dynamic systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(5), pages 964-973, April.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:964-973
    DOI: 10.1080/00207721.2018.1433898
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