Controllability and Stabilizability of Networks of Linear SystemsTrumpf, J. & Trentelman, H. L., Aug-2019, In : IEEE Transactions on Automatic Control. 64, 8, p. 3391-3398 8 p.
Research output: Contribution to journal › Article › Academic › peer-review
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.
|Number of pages||8|
|Journal||IEEE Transactions on Automatic Control|
|Publication status||Published - Aug-2019|
- Behavioral approach, controllability and stabilizability, linear systems, network analysis, OBSERVABILITY