Name
Abstract | ||
|---|---|---|
A system is called
<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">equivariant</italic>
if it is invariant with respect to a set of coordinate transformations associated to the elements of a multiplicative group. One established fact of the theory of equivariant systems is that various control problems can be solved by a generic controller if and only if they can be solved with a controller that satisfies the same invariance properties of the system. In this note, we show that this is true for all control tasks that can be obtained as a solution of an equivariant convex optimization problem and present some applications related to state and output feedback stabilization and decentralized control. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1109/tac.2019.2897512 | IEEE Transactions on Automatic Control |
Keywords | Field | DocType |
Convex functions,Output feedback,Linear systems,Symmetric matrices,Task analysis,Decentralized control | Mathematical optimization,Control theory,Equivariant map,Multiplicative group,Algebra,Linear system,Invariant (physics),Convex function,Invariant (mathematics),Convex optimization,Mathematics | Journal |
Volume | Issue | ISSN |
64 | 9 | 0018-9286 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Luca Consolini | 1 | 276 | 31.16 |
| Mario Tosques | 2 | 205 | 16.95 |