Name
Abstract | ||
|---|---|---|
This paper proposes a new approach to stabilize switched linear systems. In this method, the projections are employed to establish the stabilization of a switched systems class. Hence, we suppose that the subsystems given by a switched linear system can be projected to the same subspace. Under these conditions, we prove that this switched linear system is stabilizable if and only if a low-order switched linear system is also stabilizable. In order to complete this study, we present a counter example that proves that it is not always possible to use the projections. Moreover, the main result in the paper is applied to solve the stabilization of a third-order switched systems class and the static feedback stabilization of a switched linear systems class. Finally, a numerical example is included in order to illustrate the new method obtained to stabilize a third-order switched systems class. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.cam.2016.11.020 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
Projections,Stabilization,Switched systems,Conic switching law,Output feedback stabilization | Mathematical optimization,Linear system,Subspace topology,Control theory,If and only if,Counterexample,Mathematics | Journal |
Volume | Issue | ISSN |
318 | C | 0377-0427 |
Citations | PageRank | References |
1 | 0.36 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| C. Pérez | 1 | 1 | 0.70 |
| Francisco Benítez | 2 | 4 | 0.85 |
| J. B. García-Gutiérrez | 3 | 1 | 0.36 |