Controllability and Stabilizability of Networks of Linear Systems

Trumpf, J. & Trentelman, H. L., Aug-2019, In : IEEE Transactions on Automatic Control. 64, 8, p. 3391-3398 8 p.

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  • Controllability and Stabilizability of Networks of Linear Systems

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We provide necessary and sufficient conditions for the node systems, the graph adjacency matrix, and the input matrix such that a heterogeneous network of multi-input multi-output linear time-invariant (LTI) node systems with constant linear couplings is controllable or stabilizable through the external input. We also provide specializations of these general conditions for homogeneous networks. Finally, we give a very simple, necessary and sufficient condition under which a homogeneous network of single-input single-output LTI node systems is stable in the absence of the external input.

Original languageEnglish
Pages (from-to)3391-3398
Number of pages8
JournalIEEE Transactions on Automatic Control
Issue number8
Publication statusPublished - Aug-2019


  • Behavioral approach, controllability and stabilizability, linear systems, network analysis, OBSERVABILITY

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