Minimal inputs/outputs for subsystems in a networked system

Minimal inputs/outputs for subsystems in a networked system Minimal input/output selection is investigated in this paper for each subsystem of a networked system. Some novel sufficient conditions are derived, respectively, for the controllability and observability of a networked system, as well as some necessary conditions. These conditions only depend separately on parameters of each subsystem and its in/out-degrees. It is proven that in order to be able to construct a controllable/observable networked system, it is necessary and sufficient that each subsystem is controllable/observable. In addition, both sparse and dense subsystem connections are helpful in making the whole system controllable/observable. An explicit formula is given for the smallest number of inputs/outputs for each subsystem required to guarantee controllability/observability of the whole system. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Automatica Elsevier

Minimal inputs/outputs for subsystems in a networked system

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Publisher
Elsevier
Copyright
Copyright © 2018 Elsevier Ltd
ISSN
0005-1098
D.O.I.
10.1016/j.automatica.2018.04.027
Publisher site
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Abstract

Minimal input/output selection is investigated in this paper for each subsystem of a networked system. Some novel sufficient conditions are derived, respectively, for the controllability and observability of a networked system, as well as some necessary conditions. These conditions only depend separately on parameters of each subsystem and its in/out-degrees. It is proven that in order to be able to construct a controllable/observable networked system, it is necessary and sufficient that each subsystem is controllable/observable. In addition, both sparse and dense subsystem connections are helpful in making the whole system controllable/observable. An explicit formula is given for the smallest number of inputs/outputs for each subsystem required to guarantee controllability/observability of the whole system.

Journal

AutomaticaElsevier

Published: Aug 1, 2018

References

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