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Sparse Linear Ensemble Systems and Structural Controllability
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DOI：10.1109/TAC.2021.3097289.png)
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Abstract
En 中文
The article introduces and solves a structural controllability problem for continuum ensembles of linear time-invariant systems. All the individual linear systems of an ensemble are sparse, governed by the same sparsity pattern. Controllability of an ensemble system is, by convention, the capability of using a common control input to simultaneously steer every individual systems in it. A sparsity pattern is structurally controllable if it admits a controllable linear ensemble system. A main contribution of the article is to provide a graphical condition that is necessary and sufficient for a sparsity pattern to be structurally controllable. Like other structural problems, the property of being structural controllable is monotone. We provide a complete characterization of minimal sparsity patterns as well.
Keywords:
Controllability
Complex systems
Aerospace electronics
Statistics
Sociology
Scalability
Multi-agent systems
Graph theory
linear ensemble systems
sparse systems
structural controllability
Journal
IF:
7
Papers:
1.3W
Citations:
6.7W
