Stability and stabilisation of a class of networked dynamic systems

H. B. Liu and D. Q. Wang

International Journal of Systems Science, 2018, vol. 49, issue 5, 964-973

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.

Date: 2018
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DOI: 10.1080/00207721.2018.1433898

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