Name
Abstract | ||
|---|---|---|
A generalized structure of complementary matrices involved in the input-state-output inclusion principle for linear time-invariant systems including contractibility conditions for static state feedback controllers is well known. In this note, it is shown how to further extend this structure when considering contractibility of dynamic controllers. Necessary and sufficient conditions for contractibility are proved in terms of both unstructured and block structured complementary matrices for general expansion/contraction transformation matrices. Explicit sufficient conditions for blocks of complementary matrices ensuring contractibility are proved for general expansion/contraction transformation matrices. Moreover, these conditions are further specialized for a particular class of transformation matrices. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1109/TAC.2003.814275 | Automatic Control, IEEE Transactions |
Keywords | Field | DocType |
control system synthesis,linear systems,matrix algebra,state feedback,complementary matrices,contractibility conditions,dynamic LTI controller contractibility,expansion/contraction transformation matrices,input-state-output inclusion principle,linear time-invariant systems,necessary and sufficient conditions,static state feedback controllers | Linear system,Matrix (mathematics),Matrix algebra,Control theory,Transformation matrix,Mathematics | Journal |
Volume | Issue | ISSN |
48 | 7 | 0018-9286 |
Citations | PageRank | References |
5 | 0.82 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bakule, L. | 1 | 5 | 0.82 |
| José Rodellar | 2 | 103 | 20.73 |
| J. M. Rossell | 3 | 38 | 4.03 |