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A Vector Matroid-Theoretic Approach in the Study of Structural Controllability Over F(z)
- Source :
- IEEE Access, Vol 5, Pp 4846-4852 (2017)
- Publication Year :
- 2017
-
Abstract
- In this paper, the structural controllability of the systems over $F$ ( $z$ ) is studied using a new mathematical method-matroids. First, a vector matroid is defined over $F$ ( $z$ ). Second, the full rank conditions of $[sI-A\vert B](s\in \wp )$ are derived in terms of the concept related to matroid theory, such as rank, base, and union. Then, the sufficient condition for the linear system and composite system over F(z) to be structurally controllable is obtained. Finally, this paper gives several examples to demonstrate that the married-theoretic approach is simpler than other existing approaches.
- Subjects :
- 0209 industrial biotechnology
General Computer Science
Rank (linear algebra)
02 engineering and technology
Systems and Control (eess.SY)
Matroid
rational function matrix
Base (group theory)
Combinatorics
020901 industrial engineering & automation
0202 electrical engineering, electronic engineering, information engineering
FOS: Electrical engineering, electronic engineering, information engineering
General Materials Science
structural controllability
Observability
Mathematics
Discrete mathematics
020208 electrical & electronic engineering
Linear system
General Engineering
Controllability
composite system
Aerospace electronics
Computer Science - Systems and Control
lcsh:Electrical engineering. Electronics. Nuclear engineering
lcsh:TK1-9971
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- IEEE Access, Vol 5, Pp 4846-4852 (2017)
- Accession number :
- edsair.doi.dedup.....4e8da1abe47a739815a81838dff0c586