Name
Title | ||
|---|---|---|
Finite-Time Stabilizability, Detectability, and Dynamic Output Feedback Finite-Time Stabilization of Linear Systems. |
Abstract | ||
|---|---|---|
In this note, we deal with linear systems and we extend to the finite-time setting the concepts of stabilizability and detectability. It will be shown that, similarly to what happens in the classical Lyapunov framework, even in the finite-time context, stabilizability and detectability play a role into the existence of stabilizing dynamical controllers. We prove that a dynamic output feedback controller, which finite-time stabilizes the overall closed-loop system, exists if and only if the open-loop system is finite-time detectable and stabilizable plus a further linear matrix inequality coupling condition. We also show that, in the finite-time context, the equivalence between stabilizability via output feedback and stabilizability via observer-based controllers is no longer true. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1109/TAC.2017.2660758 | IEEE Trans. Automat. Contr. |
Keywords | Field | DocType |
Output feedback,Context awareness,Observers,Linear systems,Symmetric matrices,Closed loop systems,Couplings | Lyapunov function,Mathematical optimization,Coupling,Linear system,Control theory,Symmetric matrix,Equivalence (measure theory),If and only if,Observer (quantum physics),Linear matrix inequality,Mathematics | Journal |
Volume | Issue | ISSN |
62 | 12 | 0018-9286 |
Citations | PageRank | References |
3 | 0.40 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Francesco Amato | 1 | 419 | 48.74 |
| Mohamed Darouach | 2 | 261 | 42.82 |
| G. De Tommasi | 3 | 57 | 6.19 |