Title | ||
---|---|---|
Characterization of Controllability based on Continuity of Closed-loop Eigenvectors: Application to Controller-Driven Sampling Stabilization |
Abstract | ||
---|---|---|
This paper presents a novel characterization of controllability for linear time-invariant finite-dimensional systems. This characterization relates eigenvalue controllability with the continuity of the map that assigns to each closed-loop eigenvalue the smallest subspace containing the set of corresponding closed-loop eigenvectors. Application of the given characterization is illustrated on a specific case of controllerdriven sampling stabilization, where the sampled system is interpreted as a discrete-time switched system and stability under arbitrary switching is ensured via simultaneous triangularization (Lie-algebraic solvability). |
Year | DOI | Venue |
---|---|---|
2016 | 10.1109/TAC.2015.2434072 | Automatic Control, IEEE Transactions |
Keywords | Field | DocType |
Eigenvalues and eigenfunctions,Controllability,Switches,Measurement,Linear systems,Standards | Mathematical optimization,Control theory,Technical note,Subspace topology,Linear system,Controllability,Control theory,Sampling (statistics),Mathematics,Eigenvalues and eigenvectors | Journal |
Volume | Issue | ISSN |
PP | 99 | 0018-9286 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Haimovich Hernan | 1 | 81 | 13.19 |
Esteban N. Osella | 2 | 0 | 0.34 |