Controllability and Stabilizability of Networks of Linear Systems
Date
2018-11-21
Authors
Trumpf, Jochen
Trentelman, Harry L.
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Institute of Electrical and Electronics Engineers (IEEE Inc)
Abstract
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.
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Keywords
Behavioral approach, controllability and stabilizability, linear systems, network analysis
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IEEE Transactions on Automatic Control
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Journal article
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Open Access
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